diff --git "a/data/dm_maths/full_data_1/2460_11255.jsonl" "b/data/dm_maths/full_data_1/2460_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2460_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Sort 68, -2, -4 in increasing order.\nAnswer: -4, -2, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -24 (b) 1\/3 (c) 0.07 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 m when four letters picked without replacement from lllmmllmmllmlllmlll.\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6442 rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2498 (base 13) to base 2\nAnswer: -1010001001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -9*d**3 - 118*d**2 + 2*d + 48. Let x(r) = 5*r**3 + 59*r**2 - 2*r - 29. Determine 3*u(q) + 5*x(q).\nAnswer: -2*q**3 - 59*q**2 - 4*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 18060.34nm?\nAnswer: 0.001806034","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-638)\/66)\/((-4440)\/(-36)) and 49\/20.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/3? (a) 10 (b) -3\/92 (c) -0.091\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + v + 1)*(5 - 4 + 4) - 12*v - 6*v - 40*v.\nAnswer: -53*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55586?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 7. Suppose 3*f + c*k = -2, -2*f = -6*f + k - 9. Let x be (4*(-1)\/f)\/2. What is the greatest common divisor of 5 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -56 - -80. Suppose -4*p + l + w = 3*l, 3*l = -2*p + 16. Suppose d - 75 = -2*i - 0*i, p*i + 326 = 4*d. List the prime factors of d.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/(sqrt(49)\/sqrt(7)) + -6*(sqrt(20) - sqrt(100)\/sqrt(5) - sqrt(20)))\/(-1*sqrt(64) - sqrt(4)*-3*6).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 24 = 3*g, -3*g + 33 = -65*u + 68*u for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -198 by -829232.\nAnswer: 99\/414616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9.968 + 10.368. What is the nearest to 3 in t, -5, -1\/10, -3\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*c**4 + 8*c**3*w**3 + 9*c**2*w**3 - 4*c**2 wrt c?\nAnswer: -216*c + 48*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2287561349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3664699.\nAnswer: 67, 83, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, 3, -2 in decreasing order.\nAnswer: 3, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -495189 (b) -5 (c) 4 (d) -0.1 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 385 + -232. Suppose 150*g = v*g - 3. Solve -g = -2*o + f, -o - 4*f + 29 = 2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + -1. Let j be r\/((-2)\/10) - 0. Suppose 29 = j*w - 2*h - 44, -w - 2*h + 17 = 0. Is w a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -25, 0.5 in increasing order.\nAnswer: -25, -1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/6)\/(35*16\/168). Which is the second biggest value? (a) 0.4 (b) p (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34*t**5 - 5*t**3 + 7949*t - 2 wrt t?\nAnswer: 680*t**3 - 30*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*w**2 - 65*w**2 - 1 + 2*w + 27*w**2 + 3 + 30*w**2 as x + d*w + i*w**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + 3*x + 1. Let y(c) = -4*c**2 - 14*c - 4. Suppose 13*t - 14*t - 14 = 0. What is t*l(o) - 3*y(o)?\nAnswer: -2*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.011476, 2, 2\/21 in descending order.\nAnswer: 2, 2\/21, 0.011476","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4130507 (base 8) in base 15?\nAnswer: -169209","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 889 = -4*n, 5*n = -3*g + 5*g + 1094. Let s = n - 116. Does 25 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-266035)\/275 - 1*6\/10. Let q = 17 - u. List the prime factors of q.\nAnswer: 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) + (1*sqrt(136) - sqrt(136))*5 + sqrt(136) - sqrt(136))\/sqrt(8) + (sqrt(612) + 0 - sqrt(17))*4.\nAnswer: 21*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 79128*g**2 - 70300*g - 32.\nAnswer: 4*(9*g - 8)*(2198*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1036)\/(-11) - 38\/209. Calculate the remainder when j - 0 - (3 + 72\/(-9)) is divided by 51.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2678 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110000011010110 (base 2) to base 14.\nAnswer: -906a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 7 - 32 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 2*c + 2082, -4*c + 5 = 9. Calculate the highest common factor of a and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7613.595 microseconds?\nAnswer: 0.0000021148875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/45, -5, 0.2, -0.3, 1162.\nAnswer: -5, -0.3, 2\/45, 0.2, 1162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 0.394.\nAnswer: -0.1182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 674473347.\nAnswer: 3, 74941483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - -1. Let y be (-1*1)\/(11\/c). Put -4, y, 3 in increasing order.\nAnswer: -4, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 452994*r = 452981*r + 598 for r.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 4:56 AM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27524 is divided by 26753?\nAnswer: 771","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 4*i**2 - i**3 + 9 + 5 - 8 + 0*i**2. What is the smallest common multiple of 6 and o(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 29*y**2 - 84*y + 6. Let d(l) = -5*l**2 + l - 1. Calculate -6*d(q) - x(q).\nAnswer: q**2 + 78*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 540 and -27.802.\nAnswer: 512.198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 79839915427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j**(2\/29)\/j))\/j)**19*j**28*j*j**13*j)**(-2\/51) assuming j is positive.\nAnswer: j**(-3520\/1479)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*f + 2*f - 2*f)*(-54 + 54 + 16*f) in the form v + a*f**2 + c*f and give a.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d + 2*d - 1 - 1 - d.\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 28275 = 2*u + 28305, -5*u + 3*w + 30 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*l - l - 5*l)*(-2*l - 49*l**2 + 4*l**3 + 49*l**2) in the form v*l**2 + h*l**4 + t*l**3 + g*l + i and give v.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 16 = -2*g - 0*n, -5*g + 5*n = -35. Suppose 5*h - 2*w = -g, h - 2*w + 14 = -5*w. What is the units digit of (24\/(-3*1))\/h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*d**5 - 712*d**4 + 37996*d**3 - 237392*d**2 + 328560*d = 0. Calculate d.\nAnswer: -222, 0, 2, 5, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a centimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 2:26 PM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1611 a factor of 109438452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in two fifteenths of a millennium?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 58\/(-2) + (-10)\/(-5). Let m(p) = -3*p**3 - 5*p**2 - 2*p - 1. Let b be m(-3). Let q = u + b. What is the remainder when q is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of f**8\/336 + f**7\/42 + 43*f**3\/6 + 34*f. Let n(s) be the second derivative of t(s). Let n(y) = 0. Calculate y.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64 is divided by (-609)\/(-28) + 1\/((-4)\/(-1)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 2*z + 6. Suppose -x = -4*x. Let k be (-24)\/16*(-4)\/3. Solve -12 = -5*p - 4*i, 3*p - k*i + 0*i + z = x for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1337800 or 1337932?\nAnswer: 1337932","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2004 (base 8) in base 3?\nAnswer: 1102002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*19\/285*5\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.053 * 9\nAnswer: 0.477","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -299648472, -599296946, -898945422, -1198593900?\n\"Answer: -y**2 - 299648471*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x = -10*x + 23. Calculate the remainder when 43 is divided by x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 73*y**6 + 8900152*y + 0*y**4 - 5*y**4 - 74*y**2 - 8900149*y wrt y.\nAnswer: 8760*y**3 - 120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -5*j - 21, -3*c + j + 21 = -3*j. Suppose -13 - 5 = -c*i. Let s = i - 6. Which is bigger: s or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(1\/2))\/w)**50\/(w\/(w**1*w))**(-2))\/((w**(-2\/7)\/w)\/w**(-2\/5)*w**4*w**(-7)) assuming w is positive.\nAnswer: w**(941\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*q - 5 = 0. Let j = 0 + q. Let x = j - -2. Solve 4*o + x - 7 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3 + 5*x**2 + 4 - 841*x**3 + 47*x**2 - 12 + 2182*x**3 wrt x.\nAnswer: 8046","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2025847 is divided by 494?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 497 * 0.05454.\nAnswer: 27.10638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -18. Let a = w - -14. Are 1\/2 and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 3. Let g(c) be the first derivative of 6*c**y + 0*c + 1 - 2\/5*c**5 + 9\/2*c**4 + 2*c**2 - c**6. Solve g(v) = 0 for v.\nAnswer: -1, -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -9*d + 4*d. Find b, given that d - 3\/2*b - 3\/2*b**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 226706 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/3))**2\/((t\/t**(2\/7))\/t)**(16\/3)*(t*t**(1\/4)*t*t\/(t*t\/((t*t*t\/t**(3\/8))\/t))*t)**(-43) assuming t is positive.\nAnswer: t**(-27625\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v + 15. Let p be h(-14). Sort -1, -2, p in ascending order.\nAnswer: -2, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i - 2*i + 5*i + (i - i - 2*i)*(0 + 3 + 1) - 6*i + 2*i + 11*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**2 - 4*g**2 + 6*g**2. Let l(w) be the third derivative of w**4\/24 - 2*w**2. What is x(l(j))?\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - 32) + 6 + (-2 - -7) - -6.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 394 is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.02 + -0.02. Let n = 3.4 - -0.1. Let y = n - v. What is the nearest to 0 in y, 3\/8, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.3 - -11309548?\nAnswer: 11309598.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -c**5 + 348*c**4 + 38171*c**3\/4 - 325677*c**2\/4 + 148177*c\/2 - 17904 = 0.\nAnswer: -32, 1\/2, 6, 373","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -7*z - 5*h - 2805, 2*z = -h - 1401. Let v be -54*(z\/6)\/(-1). What is v rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -823 (base 9) to base 16.\nAnswer: -29d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 10*o - 6 = -8*o, -2*o = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**5\/2 - 41*f**4\/2 + 117*f**3\/2 - 115*f**2\/2 + 19*f.\nAnswer: f*(f - 38)*(f - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 462.4997 hours?\nAnswer: 1664998920000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 + 6 - -1*1. Suppose 22 = 9*t - 23. Suppose -9 = -t*f + 11. Solve -o*p = 3*u + 3*p - 9, -2*p = f*u - 12 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7555056519 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 j when two letters picked without replacement from {f: 2, j: 5, n: 1, q: 1}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1370384 and 133696?\nAnswer: 5481536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3 = -0. What is the first derivative of 24*v**3 - 33*v**3 - 79 + 3*v**2 + 7*v**o wrt v?\nAnswer: -6*v**2 + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 60938646 to the nearest integer?\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 262084746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-90)\/150)\/(246\/(-30) + 8). Let u = 109 + -73. Factor 4\/9*a**x + u*a + 0 + 8*a**2.\nAnswer: 4*a*(a + 9)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 1\/5, 1\/6, 57, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 180441590 rounded to the nearest 1000000?\nAnswer: 180000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4691, 18829, 42385, 75353, 117727?\nAnswer: 169501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 5*w**2 + 6*w + 22. Let p be v(-2). Let n be 217\/465*(p + -4). Is -1 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 57 - 55. What is the third derivative of 11*q**5 - 26*q**k + 5*q**5 + q**2 + 4*q**2 wrt q?\nAnswer: 960*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 9:58 AM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 47 - 42. Is ((-553)\/28 + 6)*(m + 1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 152 - 461\/3. Let k = -0.79 + -0.01. Let n = -0.2 + k. Which is the nearest to n? (a) -3 (b) d (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*d**3 - 5570*d**2 + 5570*d**2.\nAnswer: -91*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 3 = -f. Let d be 10\/25*(16 - 1). Let q = d - f. Solve -4 = -3*j + 4*a - q*a, 0 = -4*j - 4*a - 32 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/3329 - -6028\/1048635. Which is bigger: -1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 410 and 5?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106411398.\nAnswer: 2, 3, 17, 167, 6247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/483 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*j + 205*j - 121*j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of 2 + 4\/3*t + 3*t**2 + 14\/9*t**3. Factor h(b).\nAnswer: 2*(b + 1)*(7*b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15.9 - 86.9. Let p = w - -121. Let b = p + -49.99995. Round b to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that t**2\/2 + 193*t\/2 - 394 = 0.\nAnswer: -197, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - 17*g. Let d be j(17). Suppose -15*p - p = d. Let u(x) = -2*x - 1. What is u(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-3) + 2\/(-6). Suppose 0 = 25*n - 1791 - 1334. Suppose 0 = -391*g + 386*g + n. Solve l = -5*a + 2*v - g, -a + 2*v - 3 = 2 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -6*i**2. Let v(r) = -r**2. Determine v(k(g)).\nAnswer: -36*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -5. What is the common denominator of l*(-2 - (0 - 3)) and 77\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 65 (b) -3 (c) -14 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6616 - 3674 = -21*y. Let k = y + -350. What is the remainder when k is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2370933*l**2*y**3 + 8*l**2*y - 3*l**2 - 5004*y - 2 wrt y?\nAnswer: 14225598*l**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r - r + 4*r)*(-6*r - 5*r - 4*r + 2*r**2)*((-2 + 1 + 3)*(-r + 5*r - 2*r) - 3*r + 0*r + 5*r).\nAnswer: -12*r**4 + 90*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**2 + 2 - 3*y**2 + 1 + (2*y**2 - 6*y**2 + 3*y**2)*(-3 - 4 + 4))*(0*y + 4*y - 2*y).\nAnswer: 4*y**3 + 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 81776 divided by -12?\nAnswer: -20444\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -128 - -26. Let u be (-4578)\/t - 4\/(-34). What is the highest common factor of 30 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 32 - 11 + 17*o - 18*o. Let b be k(0). Let m be b\/15*(-4)\/(-14). What is the nearest to m in -2\/9, -0.3, -1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 69 = -7*h. Calculate the remainder when h is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -49\/9 in 52, -2\/9, 14, -2, 2, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**2 - h**3 + 20*h + 5 + 0*h**3 - 19*h as w*h**3 + q + v*h**2 + t*h and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 394525?\nAnswer: 5, 43, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -9*b - 24. Let i be h(-4). What is the common denominator of (3\/(-4))\/((-6)\/(-76)) and (-7263)\/(-1260) + (2 - i\/7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1389 and 843231.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-164)\/16*-2)\/(4\/8)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2 + 1487820*m + 553402088100.\nAnswer: (m + 743910)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 4. Let m(p) = 1 + p**3 + p**3 - 2*p**2 + n*p**3. Let i be m(1). Solve 3*y - 30 = y + i*z, 6 = 2*y + z for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24320760 (base 8) to base 6\nAnswer: -310355532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -119374, -125054, -130732, -136408, -142082, -147754, -153424?\n\"Answer: n**2 - 5683*n - 113692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -14*h + 169. Let r be n(9). Let u = 13 - 9. Let a(q) = -r + 42 + 5*q**2 - u*q**2. What is a(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3305527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52704, 52732, 52786, 52872, 52996?\nAnswer: 53164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 - 3506952*h - 185879692.\nAnswer: 4*(h - 876791)*(h + 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 24 = -3*a, 16*w = 19*w - 3*a + 21 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*n = 4, -3*u + 6 = 2*n - n. Let l = -5 - -2. What is the smallest value in -0.4, u, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + 8 - (58 + -14 + -19)) + -8.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 12, 24, 48, 90, 156, 252?\nAnswer: 384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 268 = -0*j - 3*j, -j = 3*u + 93. Let o = -35 - j. What are the prime factors of o?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2247.71 + -0.9.\nAnswer: 2246.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 223, -22, 1\/3 in decreasing order.\nAnswer: 223, 1\/3, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 15*j + 420. Let m(k) = -3*k - 3. Calculate the remainder when ((-40)\/(-6) - 7)*j is divided by m(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 749163.4 years in months?\nAnswer: 8989960.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*n**3 + 7*n**3 - n**3)*(-2*n + n + 3*n)*(4 + 0 - 6) in the form v + b*n + g*n**3 + m*n**4 + q*n**2 and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*o - 19*o + 7 = -4*r, -3*o + r - 8 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 8*c**2 - c - 3. Let g be k(-8). Suppose 4*v + 3*r = g, 1 = -r - 4. Solve 2*n - 3*n - v = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -1, 2, -40?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3*v**2 + v - 8. Is q(-4) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 16 - 12 = -22*m + 22*m - 6, 11*b - 105 = 8*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3\/131 + -283\/917. Let v = 2 - 3. Is o bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-202)\/(-101))\/((-1)\/3*-2). Let 16*s**4 - 4340 + 36*s - 12*s**2 + 4624 + 812*s - 1136*s**p = 0. What is s?\nAnswer: -1\/2, 1, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 2*b + 110. Let y(f) = -12*f**2 + 12*f + 11. Let g(m) = -m - 6*m**2 - 2*m**2 - 1 + 2*m**2 + 7*m**2. What is b*g(a) - 2*y(a)?\nAnswer: 2*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 278097820 divided by 20?\nAnswer: 13904891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1442 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 161 + -53. Let d(u) = -2*u**2 - 20*u + 11. Calculate the remainder when p is divided by d(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -64*z - 262. What is m(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -17 divided by 3523\nAnswer: -17\/3523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/(-26)*30\/25.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h + 4. Let t be o(0). Suppose -t*b + 6*b + 4 = 0. Let c be (2 - (-4)\/b)\/(-2). Solve -2*l - 2*l = c for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 452*n**2. Let k(h) = -202533*h**2. What is k(f(o))?\nAnswer: -41378302032*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27\/14 - -23\/14. Let r = -3.5 - 0.7. Let s = 0.2 + r. What is the nearest to f in 4, s, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 - -18. Is (-530)\/l + 6\/8 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/73 (b) 13 (c) 0.5 (d) 0.009\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of 2*m**3\/5 + 11*m**2\/5 + 12*m\/5 + 39. Factor u(r).\nAnswer: 2*(r + 3)*(3*r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145 is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8*(0 - (-5)\/(-10)))\/5. Suppose 5 = x - 0*x - 2*g, 0 = 5*x - 4*g - 13. Which is the closest to x? (a) k (b) 2\/13 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 8, 49 = -2*k + 2*v + 397. Calculate the greatest common divisor of k and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*x + 14*x - 29 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2112041 (base 6) in base 11?\nAnswer: 702a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-11) + (-129)\/649. Let s = q + 116\/3363. Which is bigger: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5158.3 + 5158. Which is the nearest to 7? (a) 4 (b) -2\/5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - 2*52*-1. Let l be 5 + (1 - 1)\/(-1). Suppose 3*k - l*n - d = 0, -2*k + 0*n + 70 = -3*n. Calculate the remainder when k is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-6*(sqrt(8)\/sqrt(4))**2 - sqrt(2) - (sqrt(2) - (3 + sqrt(2) + sqrt(2) + -1))**2).\nAnswer: -36 - 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 53b31 (base 15) to base 9\nAnswer: 444511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27.012 + 24.012. Let z = -2 - -1. Let t be (z\/2)\/((-3)\/54). Which is the smallest value? (a) -1\/5 (b) t (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -127.96 + 0.0162043?\nAnswer: -127.9437957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 3*j - 35 = 37, -2*j - 17 = -q. Let a(b) = -b**2 - 8*b - 6. Let s be (6\/(-7))\/((-1)\/(-7)). What is the lowest common multiple of q and a(s)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1354560 or 1354561?\nAnswer: 1354561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 15 = -39. Let r be ((-2 - g)*1)\/(-1). Let x(t) = -4*t**3 + 4*t**2 + 5*t. Let m(j) = 5*j**3 - 5*j**2 - 6*j. What is r*m(v) - 7*x(v)?\nAnswer: -2*v**3 + 2*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -805\/81 + 22903\/2511. What is the common denominator of -52\/873 and t?\nAnswer: 27063","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 33\/62 and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(-1\/3)*i\/(i**(-2\/3)*i)*i**(-19)*i**(1\/4))**(-5\/19) assuming i is positive.\nAnswer: i**(985\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -64334.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1046808 = 141*m - 6757167. Round m to the nearest 100.\nAnswer: 40500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + q = -0*j - 10, -j - 6 = 4*q. Suppose 0 = j*d - 9*d. Suppose g - 115 + 21 = d. What are the prime factors of g?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10289872?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/3 + 20155*x**2\/3 + 33895629*x + 439508511.\nAnswer: (x + 13)*(x + 10071)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 + 0)*(-j + 0*j - 3*j) + (-4*j + 0*j + j)*(-2 + 1 + 3).\nAnswer: -18*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1602\/4984*(-35)\/60?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49183*r**2 + 25051*r**2 + 24148*r**2.\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12110 + 1121012101010?\nAnswer: 1121012011200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2802*w + 2518*w + 6248 for w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 451483 is divided by 381.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 16356.1 minus -0.23?\nAnswer: 16356.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - 0)\/(4\/(-6)). Suppose s + s = 2*b - 8, -q*s = 2*b - 13. Solve -3*y = -j + 17, -4*j = -b*y - 2 - 38 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/46 + (-425231425)\/(-1633) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1328 and 2407.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.16 and -6.5.\nAnswer: -14.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-4)*z)\/(z\/z**(-2\/11))*z**(2\/17)\/z**4*((z**(8\/7)*z)\/z**(-3\/4))**(1\/2) assuming z is positive.\nAnswer: z**(-58829\/10472)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98.17469 centuries to millennia.\nAnswer: 9.817469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -0*l - 4*l + 928, 361 = -2*i + 5*l. Let s = -118 - i. Suppose 80 = 5*q + 5*n, 5*q - 5*n = -0*q + s. Is 5 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -31 + 27 + -16 + 0.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8598775?\nAnswer: 5, 343951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express h**2 - 4*h + 2*h + h**2 in the form x + p*h**2 + c*h and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2708863 or -2708911?\nAnswer: -2708911","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*d + 124 + 17*d + 16 - 3*d + d**3 to g*d**2 + p*d + f*d**3 + y and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-20)\/20)\/((4\/(-142))\/2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of x**5\/20 - 3*x**4\/4 - 5*x**3\/3 - x. Let p be -20*(3\/(-2))\/3. Let y be r(p). Solve -3*b + 3 = -y for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5284.514ml?\nAnswer: 5.284514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*((l\/(l\/l**(1\/3))*l)\/l*l*l)\/l))**(-1\/14)*l**(-1)*l**5)\/((l\/((l**(-1\/3)*l)\/l))**(-2\/129)*(l\/l**0)**9) assuming l is positive.\nAnswer: l**(-13231\/2709)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 + -18. What is the tens digit of q - ((-350)\/5 + 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -689 + 681. Let y be (8 - 120\/16)\/((-2)\/g). Which is the nearest to y? (a) 0.1 (b) -1\/7 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000040118079 to seven dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -2*x - 3*x - 37, c - 2*x + 5 = 0. Let g(n) = -n**3 + n**2 - 20. Let j be g(0). Let q = c - j. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**3\/(n*(n\/(n*n**(-1\/5)))\/n))\/(n\/(n**(-1\/4)\/n))**(-26) assuming n is positive.\nAnswer: n**(613\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from {w: 3, v: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1018, 1002, 984, 964, 942?\n\"Answer: -b**2 - 13*b + 1032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + g + 4 = 0. Suppose p - 505 = k + 121, 0 = k - g. Round p to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of 11*p**8\/28 - p**6\/5 + 109*p**4\/12 + 10*p - 1. What is the third derivative of x(q) wrt q?\nAnswer: 2640*q**3 - 144*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w = 44*w - 551. Is w even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 450 divide 103643656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 4*j - 3 - 7, 2*p - 18 = 3*j. Let o be 4\/p*120\/16. Let y(x) be the first derivative of -x**4\/4 + 5*x**3\/3 - x**2\/2 - x + 2. Calculate y(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*l - 5*l**2 - 4*l**3 + 9*l**2 + 32 - 12*l**2 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4745512 is divided by 68.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w**3 - 200*w**2 - 1557*w - 3321 = 0.\nAnswer: -41, -9\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 30 = -2*s, -p - 2*s + 18 = -6*s. Let d be ((-4)\/p)\/(2\/(-27)). Let j = 7 - d. Which is the third biggest value? (a) -0.2 (b) j (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*d + 24*d - 16*d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 0.7. Let k = -21 - -23. What is the closest to 1 in n, k, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3, 9, 13, 9, -9, -47?\n\"Answer: -h**3 + 5*h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from daaa. What is prob of picking 3 a?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*o - 39 = 69 - 27. Factor 14\/9*f**o - 16\/9*f - 52\/9*f**2 + 0.\nAnswer: 2*f*(f - 4)*(7*f + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of -x**7\/735 + x**6\/420 + x**5\/210 - x**4\/84 + 2*x**2. Find s, given that k(s) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/761050 and 107\/17670?\nAnswer: 43379850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1293 = 10*h - 507. Does 5 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2*o - 21 = 3*r, 2*r + 16 = 4*o. Suppose 2*a + o*g - 20 = 0, 5*a + g - 23 = 53. Calculate the remainder when 30 is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16.039 + -16. Let m = -1.119 + s. Let c = m + 0.08. Which is bigger: 0.02 or c?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 3 + 0 + 19*x.\nAnswer: 19*x + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5295612 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1479501288*s**5 + 179*s + 3581835 wrt s.\nAnswer: 29590025760*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2846087 minus -37?\nAnswer: -2846050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -10*s + 224. Is c(17) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 - (116\/24 - 1). Let f(z) be the second derivative of 1\/3*z**3 + 0 + h*z**4 - 2*z + 0*z**2. Find the second derivative of f(i) wrt i.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 567661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 664 + -343. What are the prime factors of w?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2009 - 1855. What is the remainder when 628 is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -33, -35, -21, 15, 79, 177, 315, 499?\n\"Answer: j**3 + 2*j**2 - 15*j - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + 10*s**2 + 13*s + 11. Let f(p) be the third derivative of -3*p**5\/20 + p**3\/6 - p**2. Let u be f(1). Is r(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o + 14*o**4 + 72*o**3 + 69*o**3 - 144*o**3 to v*o + w*o**4 + r*o**2 + x + d*o**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2749 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-6)\/4*((-90)\/380)\/9?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 3*d + 36. Let w be 4 + (-2 - -1)*-1. Suppose 27*y - 114 - 75 = 0. Solve d = -c + 3*v, -w*c - 5 = 2*v - y*v for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 85330652 and 286.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(2\/15))\/(l*l**(-11)))\/(l**(1\/3))**23 assuming l is positive.\nAnswer: l**(16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 275\/236822 or 1?\nAnswer: 275\/236822","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 352107 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g + 0 + 0)*(6 - 3 - 1)*(-13*g**3 - 14*g**3 + 43*g**3)*(-g + 4*g - 4*g).\nAnswer: -96*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/(-2))\/((-4 + 8)\/(-1016)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2859?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3368915 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1 + sqrt(252))*5*-6)**2.\nAnswer: 10800*sqrt(7) + 227700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -175.54 - 1.46. Let b = i - -177.2. Do -27 and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 222 and 252.\nAnswer: 9324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*q - 467906 = 2677202. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -352100 divided by -88025?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*x - 3*x + 21. Let y = x + 13. Let r be (y + 2)*3\/4. Let h(b) = -b + 9. What is h(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 0*b = -3. Suppose -b*u + u = -126. Let t be -86 + 95 + 0 + -2. What is the greatest common factor of t and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccccccjccccjjcc. What is prob of picking 2 c?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 5, 10761, -1724 in increasing order.\nAnswer: -1724, 0, 4, 5, 10761","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.61 + -1.39. Which is the closest to 0.13? (a) -3\/5 (b) g (c) 2 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z**2 - 582210*z + 107537725 = 0.\nAnswer: 185, 116257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 697 a factor of 4824164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*k - 5*k - 12*k)*(-55*k + 92*k - 62*k) to y*k + s*k**2 + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -64 + 72. Let c(t) = t**3 - 4*t**2 - 4*t + 30. What is the tens digit of c(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -5*k + 31, 5*v - 4*k = -39 + 47. Let m be (5 - 2)*3 - 0. Suppose 3*u - 15 - m = 0. Solve 0 = -3*c + 2*j - u, j + v = 3*c + 2*j for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k = 829825 - 84913. Round k to the nearest one thousand.\nAnswer: 53000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2198*u**3 - 3*u**2 - 3*u + 7. Let h be 5\/(25\/(-2)) + (-12)\/(-5). Let p be t(h). Is (-1)\/(-2) - (-1 - p\/(-10)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 131, 2, 5, -3 in decreasing order.\nAnswer: 131, 5, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 + 20. Suppose 3*t + 89 = -4*n, a*t = 5*n + t + 145. Suppose 253 = -19*d - 11*d - 467. Is n at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 0 - 3)*(-4 + 1 + 5) + 229 + 256 - 217 + 216)*(-1 + 1 - 2*y).\nAnswer: -960*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(7) - sqrt(847)*1) + sqrt(28) + 3 + 3 + -5 + (1*sqrt(7) + 3 - sqrt(7)).\nAnswer: -8*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 20025 divided by -4005\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1876039727?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g + 2 - 132372524516*g**2 + 132372524474*g**2 + 2*g.\nAnswer: -42*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21934720?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2937 is divided by 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/105 and 11\/12516.\nAnswer: 62580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7466668, 7466666, 7466662, 7466656, 7466648, 7466638?\nAnswer: 7466626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1394, -1393, -1392?\nAnswer: -1391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 871264179?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12816)\/(-4984)*-14*(-4)\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -139 + 41. Let i = 96 + g. Let l be -4 + -4*(i - -1). Solve l*h + 10 = -4*u + 2*h, -4*h = -4*u - 20 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yvv when three letters picked without replacement from yyyyyyvyyvvyyy.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21009?\nAnswer: 3, 47, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 175346*i + 107569*i.\nAnswer: 282915*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 39*s**2 - 72*s + 357. What is the remainder when j(-37) is divided by 138?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 6:10 AM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*p + 10*p - 5*p)*(5*p**2 - 3*p**2 - 3*p**2).\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**2 + 16*d - 16. Give u(9).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 4. Let r = a - 9. Let f = 3.1 + r. What is the biggest value in 4, -1\/12, f?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -199*u**4 - 208*u**3 - 1437*u**2 + u - 5?\nAnswer: -4776*u - 1248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13600 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 755 + -719. Suppose c = a*c. Solve -u + 17 - 22 = c for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 89*v - 1864. Let a be g(21). What is the fourth smallest value in -3, a, -0.2, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hf when two letters picked without replacement from {w: 3, r: 4, d: 1, y: 1, h: 1, f: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/5 of a kilogram in grams?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 26 = 5*d, -6*g + g - 3*d + 14 = 0. Let w(k) = -k**2 + 7*k + 13. Let v be w(8). What is the units digit of g\/v*50\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1539 * -0.1.\nAnswer: 0.01539","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g. Let l(r) = -2*r**2. Calculate l(s(z)).\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*c**3 - c**4 + 1 - 3*c**4 + 8*c**3 + 5*c**2 - 4*c**4 + 11*c**4 to a*c**2 + f + v*c**3 + w*c**4 + y*c and give v.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 19 = -b, -3*b - 5*g + 35 = 24 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -102 (base 13) to base 11\nAnswer: -146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1750*m + 239 - 239.\nAnswer: 1750*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(102)*-1)\/sqrt(6)*3)**2 + (0 + (sqrt(425) - (5 + sqrt(425) + -1)))**2 + 4.\nAnswer: 1397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -269 in 1\/2, -4, 3, -0.3, 41?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 3111*k + 104. Let a(u) = 8*u. Calculate p(a(d)).\nAnswer: 24888*d + 104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5\/143 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/9)*b*b)**(-13)*b**(-7)\/b**(3\/5) assuming b is positive.\nAnswer: b**(-1577\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 71*j**2 + 9*j + 5. Is n(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 135?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 96623 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -637*h - 640*h + 1904*h - 631*h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 251 - 1033. Let i = -293 + w. Calculate the greatest common divisor of i and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -109520306 divided by 7.\nAnswer: -15645758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**2 + 367002*x + 367005 = 0. What is x?\nAnswer: -1, 122335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zeff when four letters picked without replacement from {e: 2, f: 3, z: 4, q: 7, s: 2}?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*o - 769 + 229 = 0 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 874 - 872 = 0, 4*j = 3*c - 4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 302?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1896, 3474, 5040, 6600, 8160, 9726?\nAnswer: 11304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of o**7\/126 - 13*o**6\/45 - o**5\/60 + 13*o**4\/18 + 1740*o. Solve g(m) = 0.\nAnswer: -1, 0, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -57*i + 50*i - 14 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 10:45 PM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3*o**2. Let d(b) be the second derivative of -b**3\/3 + 5*b. Calculate q(d(y)).\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 121\/4 - 31. Which is the second smallest value? (a) 3\/2 (b) -2\/3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 63 - -5?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 69702*u + 71565*u + 2 in the form t*u + m and give t.\nAnswer: 1863","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/28)\/(-5)*(-5)\/15.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 2*a**2 - 4*a - 3. Let m(x) = 15*x + 162. Let r(c) = -3*c**2 - 10*c - 19. Let d be r(-2). Let o be m(d). Determine f(o).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13716442 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2177a (base 11) in base 5?\nAnswer: -2002142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, -1\/639, -153344?\nAnswer: -1\/639","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4942762383?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15239086.\nAnswer: 2, 7619543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 84981, 169963, 254945, 339927?\n\"Answer: 84982*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/5? (a) -0.5 (b) 1\/30 (c) -1\/6 (d) -4 (e) 2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/944 and 45\/280604.\nAnswer: 1122416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(2\/3)*t**(-1\/5)*t**(-4\/7)\/(t\/(t\/t**6)) assuming t is positive.\nAnswer: t**(-641\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-130)\/(-25)*19\/(-76)*40.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -64 + 64. Suppose 5*u - 665 = 2*p, b*u = 5*u + 5*p - 665. List the prime factors of u.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 61*k - 65*k + c + 38, -c = k - 12. Solve 9*t - 2*l - 3 = k*t, -5*t = -3*l - 37 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 12:58 AM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*d = -5*y + 140, 0 = 3*d. Let r = -65 + y. Let j = r + 73. Is j a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-93)\/62*(-304)\/57?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 8. Let q = 0 - j. What is the closest to q in -1, -4, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -27 + 2*w + w**3 + 7 - 3*w as h + x*w**3 + b*w + m*w**2 and give h.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 453599.\nAnswer: 453599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3849 divided by 1224.\nAnswer: -1283\/408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -79 - -142. What is the highest common factor of 27 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7319129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 10*w**2 + 24*w - 7*w - 1 - 13*w - 18 - 14*w. Let v(p) = -3*p**2 + 3*p + 6. Determine 2*j(t) + 7*v(t).\nAnswer: -t**2 + t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and -1413.\nAnswer: -1417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - -7) + (-46)\/23. Solve -6*o = -2*o + 5*b - 15, -c*b - 25 = -4*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 402058?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 + 12*o - 8. Let k be d(11). Suppose -4*c + k*c + 35 = 0. Let h be (34\/5)\/(7\/c). Calculate the highest common factor of h and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3804 is divided by 385?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 15258.0477 hours in weeks?\nAnswer: 90.8217125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 221?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*v + 15*v = -v - 4664. Calculate the remainder when 1314 is divided by v.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 less than -24461980?\nAnswer: -24461966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2552\/(-812))\/((-2 - (-44)\/28)\/1).\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3130 (base 5) to base 16.\nAnswer: 19f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 k, and 1 s when three letters picked without replacement from {t: 1, q: 2, n: 1, p: 2, s: 1, k: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -76322 and -31486151.\nAnswer: -31562473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 10:11 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/6 and -71\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5 = -0. Let c(w) = -4 - 2*w + o - 3 + 1. What is c(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62916300943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4688*y - 4687*y - 5*n + 28 = 0, -4*y = 3*n - 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*w - 559 = 86*w - 229*w for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -3. Let d(h) = -3*h + 1. Let p be d(b). What is the units digit of p + 2 + 36\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10139954 and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -1903*q - 74. List the prime factors of t(-4).\nAnswer: 2, 3769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 10:33 PM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 6:12 AM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + (2 - 63\/12). Let s be (-2)\/8 + 6\/(-40). What is the closest to 0 in -4, s, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of q**5\/100 - q**4\/8 - 7*q**3\/5 + 2*q**2 + 24. Find y such that i(y) = 0.\nAnswer: -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*1*sqrt(7) - sqrt(49)\/(sqrt(14)\/sqrt(2)))**2.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 44*d**2 + 53*d - 326. Determine u(45).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -23 + -2.58\nAnswer: -25.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1732 by 7023.\nAnswer: 1732\/7023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**3 + 89038*p - 116*p**2 - 89038*p.\nAnswer: -2*p**3 - 116*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 11. Let s be 50\/45 - p\/(-9). Let h = 0.2 + -5.2. What is the biggest value in 2\/29, s, h?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 18\/(-27) + (-88)\/3. Let p = a + 46. Let k = 22 - p. What is the least common multiple of 16 and k?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.5 + -4.5. Let h = 0.09 - 0.06. Let x = h - -0.47. Which is the closest to 1? (a) -1\/6 (b) x (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3536 - -7619. Suppose 3*j - 9 = -2*b, b + 2 = j + 2*b. Suppose -8*g + f = -j*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 403293?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2680566*l. Let t(m) = 4*m. Give t(o(j)).\nAnswer: -10722264*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6*(5\/15 + 0). Solve 3 - 1 = n*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z + 3*z = -11*z + 23 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -39139*((-7)\/(-7)*-1 + 0)?\nAnswer: 39139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (1 - 3) - (3 + -3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -5*p + 27, 3*p = 3*s - 1 - 2. Solve -6*n + 12 = -2*n + s*l, 3*n - 3*l + 21 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -7) + -2 + (-1 - 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4746287443 take away 2091?\nAnswer: 4746285352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 25, 36, 63, 112, 189, 300?\nAnswer: 451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h - 6*h + 4*h)*(-5*h + 2*h + h).\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -4*j - 3. Let i be v(-2). Suppose w - i*w + 180 = 0. Let h(n) = -2*n + 3. Let b be h(-6). What is the greatest common factor of w and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3*l - 4 = 0. Suppose -u - 4*v = -9*v + 7, -4*u = v + 28. Let d(i) = 3*i**2 - 10*i - 4. Let s(q) = -q**2 + 3*q + 1. What is l*d(z) + u*s(z)?\nAnswer: z**2 - z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 3. Let d = -3.02 - q. Let b = 0.0200006 + d. Round b to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 143 - 132. Solve -a - 4 = -3*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.13 + -10.87. What is the smallest value in -5, g, 2\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -3 (b) 4 (c) 19 (d) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3817691*a + 5155072?\nAnswer: 3817691","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 20, 41075 in decreasing order.\nAnswer: 41075, 20, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8591326*s**3 + 1505*s**2 - 82*s - 42?\nAnswer: 51547956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2295 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**5 + 9046*d**4 - d**3 - 9046*d**2 = 0. What is d?\nAnswer: -9046, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - a - 4. Let z be y(2). Suppose -8307 = -h + 2*j - 6*j, -z*h = 5*j - 16599. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 + 4)*(2*p + 0*p - 3*p) + (5 - 3 - 1)*(0 + 0 + 3*p) to the form b*p + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -69052 - -69052.31269. Let o = 0.137 - -0.18. Let s = o - t. Round s to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**2 - l + 3. Suppose 5*c + 1 = 11. Suppose 3*q - 9 = c*g - g, q - 3*g + 5 = 0. List the prime factors of s(q).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 3.1. Let l = -0.04 + 0.04. Let n = k - l. Which is the closest to 0.1? (a) 4 (b) n (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*30\/16*((-5412)\/(-205))\/(-11)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 574, 586, 598?\n\"Answer: 12*a + 562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1069 or 0.109?\nAnswer: 1069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (110\/(-66))\/((-2)\/(-6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3352343 - 3102?\nAnswer: -3355445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 12*p**2 + 15*p - 4. Calculate the smallest common multiple of 28 and c(13).\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/7 (b) 0.1 (c) -20161 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -259.\nAnswer: 129.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4627439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48842486.\nAnswer: 2, 7, 11, 317159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-6\/7))**(2\/91)\/((x\/(x*x*x**(-18)\/x*x))\/x*x\/(x**(-6)*x)))**32 assuming x is positive.\nAnswer: x**(-448832\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31113 (base 5) to base 4.\nAnswer: 133301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 532463312 and 53837.\nAnswer: 7691","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of -l**6\/120 - l**5\/12 + 5*l**4\/12 + 11*l**3\/3 + 183*l**2. List the prime factors of x(-11).\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 748 is divided by 75?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 3 + 6\/21. Let o = d + -20\/21. What is the biggest value in -0.3, o, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g = 9*g - 72. Let z(k) = -6*k + 2. Let w = -15 + 9. Let d(b) = -b**2 - 6*b + 1. Let i(p) = g*d(p) + w*z(p). Factor i(a).\nAnswer: -4*(a - 2)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*((-3)\/3 + 0). Suppose -12 = -i + 3*i + 5*h, h - m = 3*i. List the prime factors of (i + 0)*(-7 + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3214028.\nAnswer: 2, 71, 11317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*q**3*x**3 + 5*q**3*x + 104*q*x**3 - 2*q*x wrt q?\nAnswer: -18*q*x**3 + 30*q*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 s when three letters picked without replacement from {z: 1, g: 5, k: 2, s: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.132, 3, 1878, -4\/5, -0.1, -1?\nAnswer: 1878","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 256 + 298. Suppose 3*u - 2*h + n = 1951, 473 = u + 3*h. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -782*s**2 + 62 + 780*s**2 + s - 16 - s**3 in the form g + m*s**3 + z*s + l*s**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 + 4)*(-6*y + 0*y + y).\nAnswer: -40*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h + 19*h - j - 13 = 0, 29 = 4*h + j. Solve 6 - 30 = -h*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5 (b) 49 (c) 3 (d) -0.4 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -341.4787279 rounded to the nearest 10?\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-50)\/(-15)*207\/184)\/(-18*11\/352)?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/5)\/((-12)\/(-30)). Let i(b) be the first derivative of 1 + 4\/3*b**3 - z*b**2 - 1\/4*b**4 - 2*b. Give i(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 151326972 to the nearest integer?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t + 39 = 15 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.461 minus 794092719?\nAnswer: -794092718.539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**2 + 2*p - 1. Suppose 3*a - 5 - 1 = 0. Suppose 2*k + 3*o + 8 = 0, -a*k + 2*o = -k - 10. Is l(k) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of o + 5 + 1\/6*o**3 + o**2. Determine u(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 493369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.2 + 4.6. Which is the second smallest value? (a) 6 (b) -3\/4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -303?\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(1\/3)*q**12*q**(-2\/21)*q**(-4\/7) assuming q is positive.\nAnswer: q**(35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*j - 125 = -25*j. Solve -11*h + j = -6*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11011010100010010010 (base 2) to base 15.\nAnswer: -12a34c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1063353?\nAnswer: 3, 354451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 191.24 - 191.264546. Round c to four dps.\nAnswer: -0.0245","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6049148?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**3 - 3 - 29 + 6 + 29*c**2 - 4*c**3 - 104*c**2 as w*c**3 + h + x*c**2 + j*c and give h.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -263\/1370 + 40\/137. Which is the third biggest value? (a) 0.17 (b) g (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -56.17 and -43.\nAnswer: -99.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*f**2 + 7513*f + 8155*f - 15667*f.\nAnswer: -71*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (5 + (-1 - 6)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 3*p**2 - 253*p + 255. Let q be i(1). Solve q = 2706*r - 2702*r - 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3538343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -7339.57 equal to 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-54)\/(-56) + (-2)\/(-7). Let z(x) = 2*x + 1. Let f be z(3). Suppose -4 + f = 3*l. What is the closest to l in u, -4, 1\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, y: 8, a: 4, d: 2}. What is prob of picking 1 t and 1 a?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 - 13 = 12*q. Suppose q*i = 9, -732 + 2070 = 5*o + i. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 71 and 1775?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of l**4\/6 + 4*l**3\/3 - 5*l**2 + l - 1. Factor i(f).\nAnswer: 2*(f - 1)*(f + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -3*k + 1991 - 771, -k + 409 = 4*g. Calculate the highest common factor of 2 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (44\/374)\/((-2)\/(-2))\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 + 0)*(2 - 2 + 2*i) + (-i - i + 6*i)*(2 - 1 - 2) + 49 - 9*i - 49.\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -g**5\/270 + g**4\/27 - 4*g**3\/27 - 3*g**2. Factor m(b).\nAnswer: -2*(b - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 0.013837?\nAnswer: 0.027674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4568 or -4569?\nAnswer: -4569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 52\/5 of a microsecond?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-30))\/(39\/585). Let v be -7*1*(-20)\/14. List the prime factors of 148 + 0*(v\/4 - n).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 32\/(-28) - (465\/(-21) - -2). Solve -1 + i = 6*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -547*d**7\/21 + d**3\/6 - 455*d**2 + 7*d - 6. Find the second derivative of f(g) wrt g.\nAnswer: -21880*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2 + 3*v**2 - v**3 + 0*v**2 - 9*v**2.\nAnswer: -v**2*(v + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -98? (a) -12 (b) -4\/5 (c) -62\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 4\/7, -3, 3, -2, -2\/37?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -144783 divided by 1?\nAnswer: -144783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.17 - -0.09. Let o = k - 0.02. Which is the closest to -2? (a) -1 (b) 4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -5, -4\/3, 0, 714, 1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 911248889 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 262714 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5324871?\nAnswer: 3, 1774957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -1 + (-29 - -29).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 96997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 37*z + 37*z - 55 - 77*z. Let x be s(-20). Suppose -2*t + p + 42 = 8, -3*t = 5*p - 77. Solve 0*k + x = -2*f + 5*k, -t = -2*f - 3*k for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 2*r - 9863. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**2 + 6. Let r be ((-2)\/5)\/((-14)\/(-140)). Let t be h(r). Suppose t = -5*m + 263. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 d when three letters picked without replacement from dsdkddvdvdvdssddsd.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -461*s + 463*s - s**3 + 1 + 10*s**4 - s**2 + 1 to the form t*s**3 + x + m*s**2 + r*s + l*s**4 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -18 divided by 3581\nAnswer: -18\/3581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.4 * 2727.67.\nAnswer: 3818.738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 37?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -266*y**4 - 86 wrt y?\nAnswer: -1064*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -181*b**3\/3 - 7*b**2\/2 + b + 6. Let l be j(6). Let o = -15557 - l. Round o to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 6, k: 8, m: 1}. Give prob of picking 1 m and 1 k.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002282365 rounded to 5 dps?\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 23a2 (base 16) in base 11?\nAnswer: 6943","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1982?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - k**2 - k + 2. Let n be x(2). Let b be (4\/(-10))\/((-2)\/(-10)). Let j be b\/n + -16 + 16. Is j less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18951409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - -2) + 6\/6. Suppose -c*t = -34 - 26. Suppose -8*n = -4*n - t. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - m. Let s(r) = 4*r**2 - 7*r + 3. Let b(o) = -s(o) + 6*v(o). Let z(n) = 3*n. Let h be z(1). What is the remainder when 52 is divided by b(h)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -1. Let d = i + 3. Let w = -0.2 + -1.8. Which is the second smallest value? (a) d (b) w (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 63\/(-5 + (-11)\/44*-98).\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + 41*d - 371. Calculate o(-49).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1170, 2343, 3516?\n\"Answer: 1173*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -21059.9 to the nearest one hundred.\nAnswer: -21100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z + 9*z**2 + 18*z**2 - 12*z**2 + 24*z**2. What is the tens digit of a(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 577610 at least 577610?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6028*y - 3011*y - 3015*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -c**4\/2 + c**3\/3 + 3*c**2\/2 + 3*c - 2. What is the units digit of l(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 0, m + m = 5*y + 300. Suppose 5*r - 165 = m. What is the highest common divisor of 21 and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 370 (b) -16 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three sixths of a millennium in months?\nAnswer: 46000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 119227584 and 11172?\nAnswer: 119227584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -58901.66+0\nAnswer: -58901.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, b: 6, i: 4, s: 3, g: 1}. Give prob of sequence ss.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**4)\/((h\/((h*h**(-12))\/h))\/h) assuming h is positive.\nAnswer: h**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34093?\nAnswer: 103, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 - h**2 - h - 1. Let i be j(-2). Suppose 0 = i*z - z - 4. Let c(s) = s + 1. What is c(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210143 (base 8) in base 5?\nAnswer: 4212411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011011 + 100001111?\nAnswer: 10110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8922 = 231*y - 237*y. Is 23 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -11. Suppose 0 = -3*g + 2*g + h. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24*s**4 - 3*s**2 - 31*s**4 + 61*s**4 wrt s?\nAnswer: 144*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/sqrt(3)*2)\/(sqrt(640)*3).\nAnswer: sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 282 + 366 = 4*w. What is the remainder when w is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 4. What is the units digit of (-5 - w)\/((-4)\/(-18))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 + -0.2. Let f = 3.2 + -0.2. Let h be 2\/(-7) + 72\/154. What is the closest to 0 in h, f, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 2:46 AM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 13*a**2 - 2*a - 257. Calculate the remainder when 210 is divided by h(9).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 10. What is the second biggest value in -0.4, -5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1836 + 65504?\nAnswer: 63779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/6)*g**(-3)*g assuming g is positive.\nAnswer: g**(-13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 575*v + 257*v - 5486 = -25454 for v.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 1\/24 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 83 = -5*t, -3*t + 54 = 519*b - 522*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56257 - 56253 + 112510 + 3134*l.\nAnswer: 3134*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*l**4 + 2642*l**3 + 15832*l?\nAnswer: -48*l**2 + 15852*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 3*x - 396 = 0. Suppose 0*s - 2*k - x = -5*s, s = 4*k + 24. Let v be 138\/56 + (-9)\/s. Sort v, 1\/9, 5 in descending order.\nAnswer: 5, v, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f + 7. Let v = -8 - -2. Let q be p(v). Let j = -430 - -430.5. Sort q, j, -2\/13 in descending order.\nAnswer: q, j, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**2\/7 + 31446*x\/7 + 721671\/7 = 0.\nAnswer: -10459, -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kppp when four letters picked without replacement from {t: 1, p: 1, k: 2, c: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x\/x**5*x**(-6)*((x\/(x\/(x\/(x**(1\/3)*x*x))))\/x)\/x**(1\/3) assuming x is positive.\nAnswer: x**(-35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152*r**2 - 101*r**2 - r + 183*r**2 + 7 - 204*r**2.\nAnswer: -274*r**2 - r + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -48\/115 + 2\/115. Let l be 2\/(-10) - (-85)\/(-2550)*3\/2. Let u = 1 - -1. What is the closest to t in -0.5, l, u?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32c725c (base 13) to base 15\nAnswer: -157bb44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71313040.\nAnswer: 2, 5, 127, 7019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-5)*8\/8?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 q when four letters picked without replacement from wvwwwwqvqqvq?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 8, -330, 172, -3 in increasing order.\nAnswer: -330, -5, -3, 4, 8, 172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9917.629cm in micrometers?\nAnswer: 99176290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 69968 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 291885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in 2\/7, 2128, -0.3, 5, 2.9, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4914326 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*w + 90 - 76. Suppose 0 = -2*u - 3*t + 17, 3*u + 0*u - 2*t - 6 = 0. Solve w*r = 3*s - s + 2, -4 = -u*r for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98115 divided by 3?\nAnswer: 32705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n + 0*n + 2*n**3 + 3*n - 3*n - 2*n**3 + (3 - 3 + 2*n)*(2*n**2 + 4*n - 4*n) + 21 - 26*n**3 - 26*n**3 + 57*n**3.\nAnswer: 9*n**3 + 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 53*r - 4*r - 50*r. Let g(u) be the second derivative of -10*u**3\/3 + 3*u. Calculate g(l(z)).\nAnswer: 20*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h + 74. Let v be n(-22). Solve -v*m = -26*m - 16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -7*q**3 - 32*q**2 - 10*q + 8. Let g be n(-10). Let i be 0 - -2770 - (-1)\/1. Let m = g - i. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (2 - (5 - 4))) + -5 - (-403 + 430).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4258 take away 9927546?\nAnswer: -9923288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**10)**(6\/5) assuming l is positive.\nAnswer: l**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 144\/5*o - 2\/5*o**2.\nAnswer: -2*o*(o + 72)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-111)\/24 + 5 - (730\/(-80) - -9))*-6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 10*v**2 + 33*v + 160. Is 35 a factor of q(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -5*r**2 + r + 4. Let n(s) = -s**3 - 20*s**2 + 3*s + 16. Let w(x) = 9*k(x) - 2*n(x). Is 32 a factor of w(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00040211 rounded to 5 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 188214 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/45 + (-38)\/(-9). Let s be 0 - 5\/d*4. Which is bigger: -29\/5 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-7 - -14) + -1 + 3 and 7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**2\/8 + 65*j\/8 + 1422 = 0.\nAnswer: -79, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 6*i + 3. Let b be (-2)\/(-11) - (-26)\/(-22). Let a be -4 - 2\/(b + 3). Determine c(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of -f**4\/6 + f**3\/6 + 810*f. Let c(u) = -7*u**2. Determine c(r(n)).\nAnswer: -28*n**4 + 28*n**3 - 7*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 16 = 0, -479 = -4*i - 2*a - 8331. What is i rounded to the nearest one hundred?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8214*n + 26605*n + 47518*n.\nAnswer: 65909*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3119 + 4461. What are the prime factors of l?\nAnswer: 2, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 2 + 20 + -5 + 13.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 e when two letters picked without replacement from eyq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.394 + 0.006. Let l = -2 + 0. Let z = 227 - 1592\/7. Put x, l, z in descending order.\nAnswer: x, z, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 660716?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a microsecond in nanoseconds?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, z: 2, p: 1, j: 1}. Give prob of sequence pvj.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11493127?\nAnswer: 11493127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 r when four letters picked without replacement from crrrcrqrccqr.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 17103629, 34207257, 51310885?\n\"Answer: 17103628*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1755161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4 + 0 = q, k - 4*q + 11 = 0. What is the second derivative of -3*z**4 - k*z - z - 4*z**4 + z wrt z?\nAnswer: -84*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-51)\/3*(43\/172)\/(5\/20)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*((l\/l**(-2))\/l)\/l)\/l**(-26) assuming l is positive.\nAnswer: l**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 880.5188 and -34389.\nAnswer: -33508.4812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*a + 6 = 28*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 13\/(-6) + (11 + 4)\/5. Let x(t) be the second derivative of -4*t + 0*t**2 + 0 + h*t**3. Let p(w) = -w. Determine x(p(i)).\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1630707 to the power of 1\/3, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**2*i\/(i**4\/i))**25\/((i**(-1))**(1\/36))**(-4) assuming i is positive.\nAnswer: i**(-1\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.58 and -0.14.\nAnswer: -1.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*(-12)\/(-5)*(-91)\/(-52)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 41 + -7 + (12 - (24 - 1))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182 - 110 = 4*f. Suppose 8*k - 7*k - 27 = 0. Calculate the remainder when k is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d - 10*d + 36 = 0. Factor 32769*w + 274360 - 11109*w + 17121*w**d + 5*w**3 - 16551*w**2.\nAnswer: 5*(w + 38)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122879641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 7*m**2 - 18*m - 39. Let v be l(12). Let k = v + -717. Calculate the highest common factor of 342 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 0.3 (b) -5 (c) -1 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2675 + -2670. Which is the second smallest value? (a) 4 (b) v (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 221413138?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, d: 1, n: 2, r: 1, o: 1, u: 1}. What is prob of sequence ndr?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 0, -23, -1, 2, 1237 in descending order.\nAnswer: 1237, 3, 2, 0, -1, -3, -23","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Put -6\/11, -11, -42, 1 in increasing order.\nAnswer: -42, -11, -6\/11, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d + 2. Let g(j) = -j. Let s(n) = -n**3 - 14*n**2 - 26*n - 25. Let w be s(-12). Give w*l(t) + 4*g(t).\nAnswer: -7*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - 12*c + 13. Let d be v(11). Suppose 4*w + d*l = -82, 0 = w + w - 3*l + 29. Let g = 27 + w. What is the highest common divisor of g and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**4 + 4*i**3 - 4*i - 2.\nAnswer: 2*(i - 1)*(i + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -19065817.\nAnswer: -1906581.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29 - 28) + (-6)\/(-18)*-6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54987 is divided by 33?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 10) to base 14\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37\/((-4255)\/(-161)) - 2.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 minus -100278?\nAnswer: 100293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3*z**2 + z. Let d be 5*(2 + 0 + -1). Let f = d + -6. Let i(x) = -x**2 - x - 1. Calculate f*r(g) - i(g).\nAnswer: -2*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5623 and 230543?\nAnswer: 230543","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m**2 - 17*m - 42. Let d be u(10). Let v = d + -17. Is 5 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o**2 - 3*o - 1. Let b be w(-2). Let a = b + 6. Let n(t) = -1 + 2*t - 2*t + t**3 - 3*t**2. Determine n(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -5 + ((sqrt(112) + sqrt(112) + 0 + sqrt(112))*-6*1 + 0)**2.\nAnswer: 36283","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3 + 2*(((sqrt(1216) - (2*sqrt(1216) + sqrt(1216))) + sqrt(1216))*-3)**2)*-5.\nAnswer: 547125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3672148 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3372?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*c**2 - 55 + 29 + 8*c**2 - 30 to m + g*c + o*c**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m**(-4\/3)\/m*m)\/m)**(38\/3))**11)**13 assuming m is positive.\nAnswer: m**(-38038\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 169.\nAnswer: 33.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -15*i**3 - 233*i**2 - 128*i - 122. What is n(-15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 22 from 488.778744.\nAnswer: 466.778744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*k**5 - 32*k**3 + 4*k + 29 wrt k.\nAnswer: 100*k**3 - 192*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**2\/7 + 150*f\/7 - 9504 = 0. Calculate f.\nAnswer: -176, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 7*s - 39*s - 102, o = 4*s + 4*o + o for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1274806146?\nAnswer: 2, 3, 212467691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 23203200212 (base 4) to base 12\nAnswer: 1020ab2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 1153940?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + v + 7 = 0, 49*v = 44*v - 35 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 790 + -376. Let n be f\/4 - 3\/(-6). Let w = n - 73. What is the remainder when w is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25.98 + -25. Let w = 1.78 - z. Let i = 4 + -17\/4. What is the closest to -1\/2 in i, 0.5, w?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34 and 7582.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 125878 (base 9) to base 8.\nAnswer: 225367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 - z. Suppose -5*s + 5*t + 80 = 0, -4*s + 0*s + 69 = -5*t. Let f(p) = 6*p**2 + 6*p. Let d(r) = s*i(r) + 2*f(r). Let d(k) = 0. Calculate k.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -381*g**5 + g**3 + g**2 + 747*g**5 - 5*g**2 - 372*g**5 - 7*g wrt g?\nAnswer: -360*g**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2*v**2 + 1 + 5*v**2 - v**2 - 2*v**2 + (-2 - 1 + 1)*(v**2 - 3*v**2 + v**2) + 2*v**2 + v**2 - 2*v**2 - 11 - v + 11 + v - 8102*v**2.\nAnswer: -8095*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -73 - -71 - 21\/(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 13350129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 13913.04g in milligrams?\nAnswer: 13913040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -0.11?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1177 + 978 - 64)*((p**2 - p**2 - p**3)*(-p**2 - 2 + 2) - 4*p**5 + 3*p**5 - 2*p**5).\nAnswer: -4182*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (7\/(-2) - -3)*2. Let i = 5 + a. Solve -i*y - 12 = 5*h + 9, -4 = 2*y - 4*h for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*l**2 - 2*l**2 + 0*l**2)*(1402 + 9952 + 1357) in the form t + j*l**2 + i*l and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 30941*j - 10205*j - 10034*j - 1 - 10301*j.\nAnswer: 401*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fw when two letters picked without replacement from zwzvfzzzzvzfzfzwzzvw?\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2283147827?\nAnswer: 1409, 1620403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/8)\/i*i\/(i\/(i**(-2\/9)\/i*i)))\/(i*i\/i**(-2\/9))**3 assuming i is positive.\nAnswer: i**(-577\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-319)\/2233)\/(2\/(-84))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8b92 - -6?\nAnswer: -8b88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -5c5c8?\nAnswer: 5c5cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*f + 665*f + 7247 + 6673 for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 728, 2821, 6332, 11261, 17608?\n\"Answer: 709*b**2 - 34*b + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from unurausnrarsaann. What is prob of sequence aur?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1365*z + 1620*z + 10965 = 0 for z.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3215)\/(-2))\/((-32)\/64). Round f to the nearest ten.\nAnswer: -3220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2116 + 2116.3. Let d(s) = -s**3 + 4*s**2 - 2*s + 3. Let l be d(4). Let p = l - 2. Is p at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + k = 0. Suppose k = g - 4 - 4. What is the highest common factor of 8 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**0*o)**25*(o\/(o**(-2)\/o*o)*o)**(-26))**(-9\/8) assuming o is positive.\nAnswer: o**(711\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a decade in months?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = v - 5, 3*z - 2*v + v + 5 = 0. Let w be z + (60 - (-2)\/(-1)). Suppose -2 - w = -3*l. Calculate the remainder when l is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (140\/(-10))\/(-7) + 25044\/(-7). Let h = p + 3583. Does h = 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9620 by 481.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.5, 5, 4 in decreasing order.\nAnswer: 5, 4, -1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + 0. Suppose -4*j = -2*n - 8, -4*n = -4 - 4. Suppose -23 = -j*y - 8. Put w, 0, y in increasing order.\nAnswer: 0, w, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53.5*17730.\nAnswer: -948555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1260)\/(-20) - 35502\/610?\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -352*f + 4092 + 4356 for f.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus -0.1537?\nAnswer: -0.2463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 1 = 3*s. Suppose -17*l - 4*m - 14 = -20*l, -4 = 2*m. Solve s*t - y = 7, l*t + 8 + 5 = -5*y for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**(-1)*s)**11\/((s*s\/(s*s**5*s))\/s**(-1)))**(-1\/10))**36 assuming s is positive.\nAnswer: s**(-666\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 860764293.\nAnswer: 3, 1049, 30391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -8. Let k(v) = 2 + 1 - 5*v**w - 3 - v. Calculate k(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3062*c - 21691*c + 203*c + 393 - 9281*c.\nAnswer: -33831*c + 393","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1077 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 3*p + 169, 4*t - 4*p = -748 + 24. Let s = t + 177. What is the fourth biggest value in s, 1, 3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mzai when four letters picked without replacement from {a: 3, i: 1, z: 5, c: 1, m: 1, g: 1}?\nAnswer: 1\/792","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y - 75 = 9*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/280 and (-89)\/(-18)*87\/58.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 + 5*n + 8. Let o be p(5). Let w = -5 + o. Determine l so that -4\/13*l + 0 - 8\/13*l**w + 10\/13*l**2 + 2\/13*l**4 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 160 and 74720.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**3 + 631776*w**2 + 2*w - 631776 = 0. Calculate w.\nAnswer: -1, 1, 315888","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -4*q**3 + 6*q**2 - 6. Let l(o) = -24 - 5*o - 11*o**3 + 3*o + 24*o**2 - 6*o**3 + o. Let n(c) = 4*l(c) - 18*v(c). Factor n(r).\nAnswer: 4*(r - 3)*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(((f*f*f**(1\/4)*f*f)\/f*f*f)\/f))**(19\/2)*(f**0*f)**(-50) assuming f is positive.\nAnswer: f**(-647\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1212457?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.35483 + 3.5039. Round t to 2 decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 66 - 47. Calculate the remainder when 56 is divided by k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 46 = -86. Suppose 8*k = n*k - 10. What is the remainder when 239 is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4099, -310, 22 in ascending order.\nAnswer: -4099, -310, -2, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b = l - 6*b - 5341, 3*b - 16014 = -3*l. Suppose 1781 = f - h, -4*f + h = -f - l. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129789 is divided by 624?\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2987897 and 298.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -49 - -54. Suppose -u + 150 = 4*a, -t*u + 650 = -10*a + 5*a. Is 67 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1088) + 0) + -6*(sqrt(1088) + 1) - (sqrt(1088) - (2 + sqrt(1088) + -3*sqrt(1088)))*-6)**2.\nAnswer: -5184*sqrt(17) + 352836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -y + d - 2*d, -2*d - 40 = -2*y. Let o = -14 + y. Is 13 a factor of 13\/2*(-5 + o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, m: 8, z: 3}. Give prob of sequence bbmz.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -12100100021?\nAnswer: -12100100013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.143811 + -0.181346. Let a = -0.325 - p. What is a rounded to 5 decimal places?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**17)\/(g\/g**13)*g**1\/(g*g**(6\/17)) assuming g is positive.\nAnswer: g**(504\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 5:00 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -13*a + 16*a. Suppose -l + 6 = a. Let t be 0 - (8\/(-2) + l). Solve -d + 3*z = -5 + 18, -t*d + z + 5 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + -4 - 4\/(-1). Let x(o) = 3*o + o**v - 13*o + 7*o - 2. Determine x(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 + 8. Suppose -4*z + 9 - 1 = -3*v, q = 5*z + v. Let y = 3 - 5. Put -0.2, y, z in ascending order.\nAnswer: y, -0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h**3 + 5 - 5)*(2 + 33 + 9)*(-111 - 11 - 5) in the form u*h**2 + p*h**3 + w*h + v and give p.\nAnswer: 11176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1492 divided by 373.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 0 - b**2 + 2 - 1. Let f(w) = -5 + 961*w**2 + 4*w - 954*w**2 + 1 - 2*w. Suppose -2*i - 3*i = 3*v - 10, -2*v - i - 5 = 0. Give v*r(d) - f(d).\nAnswer: -2*d**2 - 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -3*h - 7180, -v + 5*h + 894 + 520 = 0. What is the hundreds digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 78*h**2 + 2*h - 7754. Let u(y) = 3*y. Calculate u(o(n)).\nAnswer: 234*n**2 + 6*n - 23262","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -55762, -5, 2\/3, 0.1 in descending order.\nAnswer: 2\/3, 0.4, 0.1, -5, -55762","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 4*f)*(2 - 2 + 3*f).\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v + 67 + 73 + 288 - 553 + 65 + 60.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssss when four letters picked without replacement from snnnnsnnssnnnnnsnnnn.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 19 + -10 + -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 126*f + 369 - 117 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63134 is divided by 9483.\nAnswer: 6236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from daaadddddddaddddddd. What is prob of picking 2 a?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 5*p**3 - 4*p**2 + 29*p + 42. Let m(r) = -22*r**3 + 18*r**2 - 116*r - 168. Let k(a) = 26*c(a) + 6*m(a). Factor k(b).\nAnswer: -2*(b - 7)*(b + 2)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -60608852*b + 15961572 wrt b.\nAnswer: -60608852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 5:00 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bzn when three letters picked without replacement from {v: 1, f: 1, b: 1, n: 1, z: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q = 11 + 13 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 5*j. Let g(b) = 107*b. What is l(g(u))?\nAnswer: 535*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppkpbxkkbxpppxpbxbp. What is prob of picking 1 k, 1 p, and 1 b?\nAnswer: 32\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 4*r - 19. Let p(y) = -4*y + 19. Give -3*g(a) - 2*p(a).\nAnswer: -4*a + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*q - 194. Calculate the highest common factor of 164 and q.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 6. Suppose -2*s + w = -8. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 691307 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 3027282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 4, -4, -2\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74855732 + 1.033596.\nAnswer: -74855730.966404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3544345?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3*l - 2 = 0, -5*f - l = -50 - 10. Calculate the highest common divisor of f and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 e when two letters picked without replacement from {e: 1, b: 6, c: 1, y: 2, w: 5, f: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 9:45 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -400\/3 + 395\/3. Put y, -0.4, -4\/23, -1 in decreasing order.\nAnswer: -4\/23, -0.4, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-14)\/(d*d\/d**23*d))\/(d**(-10\/7)\/d**(1\/6)))**(-16) assuming d is positive.\nAnswer: d**(-2552\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**2 - 2*z**2 + 2*z**2 + (-3*z + z + 3*z)*(-8 + 4*z + 8) + 2*z**2 + 3*z**2 - 4*z**2 - 4*z**2 - z**2 - 6*z**2 to the form b*z + h + f*z**2 and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 13*b + 11*b + 2010000, 0 = -5*h + 5*b - 2010000. Round h to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -27, -28, -29?\n\"Answer: -h - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -2*f**4\/9 + 46*f**3\/9 + 224*f**2\/3 - 3176*f\/9 + 3328\/9 = 0.\nAnswer: -13, 2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 26*j + 0 - 26*j + 71*j + 1 - 20*j. Suppose 8 = -4*z - 4. Let q = 6 + z. Calculate s(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010101 - 100010101011010?\nAnswer: -100010110101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + 18*x - 73. Let j be p(-21). Let v(m) = m**2 + 8*m - 7. Calculate v(j).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 483\/41 or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/28)\/((-233)\/27494*2\/2)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by 65?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 832861 to the nearest integer?\nAnswer: 913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 4*z**2 - 8604*z - 200008 = 0.\nAnswer: -23, 2174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.756463 seconds to microseconds.\nAnswer: 3756463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1362, 2735, 4136, 5577, 7070?\n\"Answer: 2*r**3 + 2*r**2 + 1353*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from {l: 12, g: 3}.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-74)\/(-44) - -1*6\/(-4)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 10. Let z(j) = 0 + j**2 - 3 + 5 - 6*j. Calculate z(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 541097644 to the nearest integer?\nAnswer: 815","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d + 98 - 108 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -47*a**2*g**3*j**2*t + a**2*j**3*t - a*g**3*j**2*t - a*g**3*t - 6*a*g*j**3 - a*j**3 - 4*j**3*t wrt a?\nAnswer: -94*g**3*j**2*t + 2*j**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1327245089 to the power of 1\/2, to the nearest integer?\nAnswer: 36431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mhhmmhhhwhbnkhkhhh. What is prob of picking 1 b, 1 w, 1 n, and 1 h?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 122294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1026 = -5*a + 109. Suppose -2*r + 595 = 5*b, -2*b + a = 4*r - r. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 37 - -1489?\nAnswer: 1515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 times 0.058?\nAnswer: 0.00232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5861353 + -13880353. Round m to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3531734648 to the power of 1\/2, to the nearest integer?\nAnswer: 59428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1130*f*s**4 - 9*f*s**2 + 29*s wrt s.\nAnswer: 27120*f*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 4*k**2\/3 + 52*k + 432 = 0?\nAnswer: -27, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20310154*q**4 + 2*q**2 - 15489536*q - 3 wrt q?\nAnswer: -243721848*q**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 8 = 3*i, -58*i = 7*n - 54*i + 15 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t**5 + 817*t**4\/2 - 7360*t**3 - 12915*t**2\/2 + 646381*t - 53816 = 0. Calculate t.\nAnswer: -8, 1\/12, 14, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-9))\/(15*(-2)\/(-135)). Let w = 104 - 149. Let h be ((-3)\/(-4))\/(w\/(-8)). Which is bigger: h or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235*b - 2145 = -378*b for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9228, -9227, -9226, -9225, -9224, -9223?\nAnswer: -9222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cuv when three letters picked without replacement from {u: 3, c: 3, v: 1}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*3*sqrt(612) + 3)**2.\nAnswer: 432*sqrt(17) + 88137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + 7*v**2 + 5*v + 8. List the prime factors of y(-6).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 672 and 4320.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24494137 divided by 1277.\nAnswer: 19181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-228)\/38)\/(-30)*(-4)\/(136\/(-30)).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = -4*m + 150 + 7 for m.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-1)\/2*-2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15508 is divided by 235.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 23011?\nAnswer: -23003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 0. Let r = -2.5 + v. Suppose -4*t + 7*t + 2*m = -2, -5 = -m. Which is the smallest value? (a) r (b) t (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24592 is divided by 57?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.048027 millilitres to litres.\nAnswer: 0.006048027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209 is divided by 109?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 701325 is divided by 701060.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 10:15 PM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12089214*h**4 - 175490479*h**2?\nAnswer: -290141136*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 377*v + 54 = 386*v. Solve -40 + v = 17*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 403808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27 + 97 + 19)*(1 + 4 - 2)*(6 - 2 - 2 + (-2 + 0 + 1)*(3 + 1 - 3) - 13 + 12 - 8)*(g**3 + 4 - 4).\nAnswer: -3432*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -2*x. Suppose x*i + i = 40. What is the highest common factor of 16 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 3. Let a be (3*8\/60)\/(w\/15). Let o be 5\/(-15) + a\/((-6)\/(-1)). What is the nearest to o in -2\/15, 0.5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) + sqrt(156)*-1)*-2 + -3*sqrt(156)*-5)\/(sqrt(300)*-1 + -4*sqrt(1200)).\nAnswer: -sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-6\/7)*y*(y\/(y\/y**(-11)*y))\/y)\/(y\/y**(-20)*y**(-1\/2)) assuming y is positive.\nAnswer: y**(-453\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2937 and 44?\nAnswer: 11748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4107737 (base 8) in base 6?\nAnswer: 35133011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2275 - -3206. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide ((-1945)\/(-100)*4)\/((-3)\/(-195))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5*g = -23, 0 = 2*j + 4*g - 7*g + 14. Let y be (-29 - 1\/j) + 1. Let q = y + 41. What is the remainder when 40 is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i - 6. Let b be w(10). Suppose 4*h - 2*a + 0*a = 18, 4*h + 3*a = 13. Let p be (4 - h) + 4\/2. What is the highest common divisor of b and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -54220*a**2 + 109*a + 65 wrt a?\nAnswer: -108440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 20*f**2*q*y**2 + f**2*q - 2*f**2 + 794*q*y**2 - 326*q + 40 wrt y.\nAnswer: 40*f**2*q*y + 1588*q*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a millennium in decades?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 91 - 85. Solve -s*y = -8*y - 10 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 + -15. Let n(h) = -2*h**2 - 43*h - 15. Let f be n(-21). Suppose y*c - f*c - 60 = 0. What is the remainder when 58 is divided by c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26323*x**5 + 112*x - 50 wrt x.\nAnswer: -526460*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/7))**(18\/7)*(c\/((c\/(c**6*c)*c*c)\/c))\/(c\/(c*(c**11\/c)\/c)) assuming c is positive.\nAnswer: c**(789\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 48 - -601771?\nAnswer: 601809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 7:57 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/3051150 and -23\/600?\nAnswer: 12204600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 205, 206, 207, 208?\n\"Answer: l + 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 110*d**4 - 438*d.\nAnswer: 1320*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -4*l**2 - 6*l + 9. Determine i(-4).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 30 = 5*l + 3*u, -4*l - 2*u = 30. Let w = -18 - 117. Let x = l - w. What are the prime factors of x?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 1:38 PM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 133103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = 4*y - 177. Calculate the smallest common multiple of 7 and y.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 8*x**3 - 5*x - 3. Suppose -r + 3 = 8. Let u(h) = 7*h**3 - 4*h - 2. Let b(t) = r*u(t) + 4*a(t). Differentiate b(k) with respect to k.\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 179687, 179729, 179801, 179903, 180035, 180197, 180389?\nAnswer: 180611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 87158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 27054 divided by -394\nAnswer: -13527\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -14950 (base 11) in base 14?\nAnswer: -799b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41 + 84. Suppose -13 + y = 3*f. Suppose -3*z + 110 = 3*x - 100, -z = -4*x + 280. Calculate the greatest common factor of x and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011101011 + 1?\nAnswer: 1011101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 428755 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(1100) + -2 - sqrt(1100))*1)**2 - (-5 + sqrt(88)\/(sqrt(32)\/(1*sqrt(4)))))*4.\nAnswer: -4*sqrt(11) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rdk when three letters picked without replacement from {l: 4, k: 1, d: 2, h: 3, r: 1, e: 1}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-19)\/(-228))\/(3\/(-27))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-115)\/(-10))\/((-1)\/(-2)). Let n = 11 - d. Let x = n - -18. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -5, 2.\nAnswer: -5, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/9 + (-2)\/(-6). Let f = 0.8 + -1. What is the nearest to 0.1 in q, 0.2, f?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i + 72364 = 194197. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = -8*b + 141. What is the greatest common factor of 5 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 16 = -6*n. Let l(i) = i**2 + 5*i + 1. Let x(w) = -2*w**2 - 9*w - 2. Give n*x(r) + 7*l(r).\nAnswer: -r**2 - r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-15)*972\/(-288)*-1)\/(9\/84)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -77 - 179. Let h = j + 1051\/4. Calculate the common denominator of h and 1\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7267 * -97.\nAnswer: -704899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -28 divided by 4247\nAnswer: -28\/4247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 84057 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 122 + -121. Let n(h) = h**2 + 7*h - 3. Let r be n(-7). Sort r, -8, 2, c in ascending order.\nAnswer: -8, r, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 36 - 3 - 28.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -3 - 15. Let x(u) = u**3 + 3*u**2 - 2. Let d be x(1). Solve -8 = -i*o + d*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4046439 is divided by 194.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v*v*v\/(v\/v**(-2\/9)*v)*v*v*v**(-3)*v*v**(3\/5)\/v*v**2\/v*v*((v**1)**(2\/45))**48 assuming v is positive.\nAnswer: v**(248\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154 = -5*y + 6. Is y a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 + i + 1. Suppose 2*m - 41 = -5*n, m + 3*n = -m + 31. Suppose 2*y + m = 10. Suppose -4 = u - y. Give q(u).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 524*n + 113037 + 85084 = -2049*n for n.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1065 divided by 213\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v = -7*v + 36. What is the tens digit of ((-189)\/49 - v) + 530\/14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 46, -4, -18, -1, -13, -60, 2.\nAnswer: -60, -18, -13, -4, -1, 2, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 + 6*f - 4. Let s be l(3). Suppose 3*x + 0 + 6 = 3*u, s*x - 2 = 2*u. Solve 0 = -x*o + 1 + 5 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1610\/138)\/(7\/6).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6\/7 (b) -10 (c) 4 (d) 5 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from oocecoo?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 85*t**3 - 17*t**2. Let o(h) = 21*h**3 - 4*h**2. What is -4*n(c) + 17*o(c)?\nAnswer: 17*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 - -26. Solve 10*n + i = 5*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -714009 or -714020?\nAnswer: -714020","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55 and 1595?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -8, -20 - 8 = -4*d + 3*r. Suppose -n = 4*m - d - 17, 18 = 3*m + 3*n. Let o be ((-1)\/(-2))\/(0 - 2). Which is smaller: o or m?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/10)\/(-4) - 5\/25. Which is the second smallest value? (a) -2\/9 (b) 0.4 (c) 7\/2 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 7:33 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03361882651 rounded to 5 dps?\nAnswer: -0.03362","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 2*t - 28, 3*t + 4*p - 74 = -p. Let j = t + -13. Solve y = j - 2 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 12*u**2 - 10*u - 3. Let p be i(8). Let h = -143 + p. Do h and 31 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -19, -16, -10, 12 in descending order.\nAnswer: 12, 2, -4, -10, -16, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d - 2. Suppose 7 - 3 = u. Determine n(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148907 is divided by 805?\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47707 is divided by 23851?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12\/(-6120)*17)\/(1 - (-3)\/(-5)). Let f = -3 + -1. Which is the second smallest value? (a) h (b) 3 (c) 1 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-20)\/35)\/2)\/((-9)\/(-7))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -137 - -141. Suppose y*g - 18 = -t, -6*g + 4*g = -8. Let k(r) be the first derivative of r**3 - 3*r**2\/2 + r + 1. Give k(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -298.1651 - -301.11. Let h = -0.0311 - n. Let j = -0.076 - h. Round j to 0 dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 9:51 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of q**5\/10 + 45*q**4\/8 + 11*q**3 + 3*q**2\/2 - 6*q + 46. Let d(n) be the second derivative of h(n). Factor d(u).\nAnswer: 3*(u + 22)*(2*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4*s**3 - 4*s**2 - 6*s + 2. Let v(j) = -j**5 + j**4 + j**3 + j**2 + j - 1. Let p(g) = -2*n(g) - 4*v(g). Suppose p(u) = 0. Calculate u.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 9:44 AM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 213*t**4 + 0*t**2 - 6*t**2 - 223*t**4 + (4*t + 2*t - 7*t)*(-2*t**3 - 5 + 5) to the form s*t + l*t**4 + f*t**2 + q + r*t**3 and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 45 = -3*f, -2*a + 4*f - 2 = a. Solve -3*l = b + a, 3*l + 2*b + 2 = 2*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = p + 22. Solve -3*c + 4*n - 2 = -p, 2*n - 5 = -5*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -192616, 18, 3, -3, 5, 1, 2 in decreasing order.\nAnswer: 18, 5, 3, 2, 1, -3, -192616","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of -u**4\/4 + 3*u**3\/2 - 4*u**2 + u. Let b(t) = -t**2 + 2*t - 2. What is -9*b(g) + 2*k(g)?\nAnswer: 3*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58 = -52*u - 6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 12\/11, 6\/7, -2\/5, -0.14, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7196 or -2?\nAnswer: -7196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 258237 and 63.\nAnswer: 258237","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 95*j**2*t**4 + j**2 - 7*j*t**2 + 3*j wrt t?\nAnswer: 2280*j**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 42.5 and -0.5.\nAnswer: -21.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 10660 = 4*a. Let n = a + 2761. Let f be (1 - n)\/(3\/300). What is f rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*k + 6*k + 32*k + 84 - 168 + 84.\nAnswer: 153*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181*o + 70 = -798 - 399 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3763111, -3762993, -3762875, -3762757?\n\"Answer: 118*q - 3763229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62, -177, -368, -635, -978?\nAnswer: -1397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**2 + 3*x - 1. Let j be g(2). Let a = -2 - 7. Let k = a + j. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -8*y**2 + 8*y - 4. Let l be b(5). Is 3 - 0 - (1 + l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0017655685 rounded to four decimal places?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-5301)\/76)\/(-31))\/(-3)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -6*r**2. Let m(q) be the second derivative of -5*q + 0 - 1\/4*q**4 + 0*q**3 + 17\/2*q**2. Let p(o) be the first derivative of m(o). What is p(i(v))?\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 18 = 5*r - 13, 5*h = r + 5. Suppose l = 3*z + 8 + 11, -z = r. Calculate the remainder when 11*(-3 + 5 + 1) is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 102549826 - 20407365757\/199. Let c = n - 83276491\/337106. Let d = c - 3\/242. Calculate the common denominator of -23\/6 and d.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 170 and 136.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.77 + -1.28. Let h = m - -1.05. What is h rounded to one decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 5*c**2 - 9. Let l be g(3). What is the greatest common factor of l and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 952?\nAnswer: 3\/952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2728.303 and -1.\nAnswer: -2728.303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tzogfdfztfffzzzozfz. Give prob of picking 1 z and 1 d.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -3\/28745?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 829909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15 - 30*n - 10*n + 7*n - 10*n wrt n.\nAnswer: -43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13\/58 in -0.4, 2\/657, -0.1, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 48 + -28. Suppose 2*r - 74 = -5*t + 170, 0 = 5*t - 3*r - 284. Calculate the remainder when t is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -524, -10658, -27548, -51194, -81596?\n\"Answer: -3378*c**2 + 2854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h + 0*h - h - 1 + 1 + 6*h + (-3 + 3 + 2*h)*(4 - 1 - 5).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 8. Put -2\/5, g, 1\/6 in decreasing order.\nAnswer: 1\/6, g, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 77*n**2 + 18*n. Let j(a) = 19*a**2 + 4*a. Let t(c) = -2*d(c) + 9*j(c). Let w(v) = 75*v. Give t(w(i)).\nAnswer: 95625*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a minute in milliseconds?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**2 + 7. Let y(d) = -d**2 - d - 6. Let c(t) = 2*j(t) + 3*y(t). Give c(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*p - 1020 = 570 + 525 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 16) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + (sqrt(432) - 4*sqrt(432)) + sqrt(432))**2 + 2 + sqrt(432).\nAnswer: 12*sqrt(3) + 434","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*(w*w**1*w)\/w*w)\/(w\/w**(-5))*w\/(w*w*w\/w**(2\/13))*w*w**(-1))**(-40))**27 assuming w is positive.\nAnswer: w**(54000\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3143*q + 3143*q - 1019*q**3 + 4211 - 97*q**3 - 4211.\nAnswer: -1116*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -5*h + 3. Let r(d) = -d. Let u(g) = -r(g) - v(g). Calculate the remainder when 24 is divided by u(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 141.25, -0.08, 0.5 in descending order.\nAnswer: 141.25, 0.5, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - h + 6 = 4*w, 0 = -4*h - 16. Is 3622\/w*(0 + 5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + -1 + (394 + -404 - (-7 - -1)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 823.5582 centuries?\nAnswer: 82.35582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/4*1*(-24 - -8). Let r(v) = a*v - 9*v - 2 + 4 - 4. Let t(h) = h**3 + 5*h**2 + h - 1. Let d be t(-5). What is r(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 115 + -87. Let c be -1 - -58 - (-8)\/4. Let x = c - s. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((2*(sqrt(152) + sqrt(152)*-1 - sqrt(152)) + sqrt(152))\/(sqrt(24)\/(sqrt(192) - sqrt(3))) + 0)**2.\nAnswer: 935","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -41680 divided by -8336?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = 4*z, 5*d + 21 + 4 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1e + -2?\nAnswer: 1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-2)\/(-2))*(-2)\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 2700.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 - 20 + 9)*(j + 1 - 1).\nAnswer: -27*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2741*j**4 + 11873.\nAnswer: -10964*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 243 and 6759.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(1\/2)*m*m*m**(4\/5) assuming m is positive.\nAnswer: m**(33\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + d. Let m(a) = -3*a**2 + 21*a - 7. Let w(s) = -m(s) - 2*o(s). Let j be w(20). Do j and -55 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -p**8\/840 - p**5\/120 + p**3\/3 - 4*p**2. Let j(n) be the first derivative of z(n). Find the second derivative of j(t) wrt t.\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2638*l**5 - 10616*l**2?\nAnswer: 158280*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -88*l - 421189. Let y(j) = -13*j**2. What is v(y(h))?\nAnswer: 1144*h**2 - 421189","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36699*i + 18336*i + 18359*i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*n - 119*n + 166*n + 207*n + 179*n.\nAnswer: 371*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.12 - 0.88. Which is the third smallest value? (a) -0.1 (b) u (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*s - 347 - 373 = 0 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 0)*(0 - q + 0)*(-162 + 15 + 37)*(0*q**2 - 5*q**2 + 4*q**2) in the form u + s*q**2 + d*q**3 + n*q and give d.\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 107, -2, 2, 6, 3 in descending order.\nAnswer: 107, 6, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 12 + (-4 - 0) + (239 - 217)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/(11 - 15) - 93\/6*-2.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -780*i. Suppose -15*j + 5*v = -20*j, -18 = 4*j - 5*v. Let x(o) = 11*o. What is j*b(f) - 143*x(f)?\nAnswer: -13*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*a - 2 + 10 + 7)*(2 + 10 + 0 + 1 - 4 + 4 - 1 + 2 - 2 + (-1 - 1 + 0)*(3 - 1 - 1)) as f + o*a and give o.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 1587 - 1587 = 0. Let d(h) = h**2 + 1. Give d(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1829975 - 0.18568. Round v to four dps.\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*f**3*q**2 + f**3 + 2*f**2*q**2 - 14*f*q**3 - 2*f*q + 101*q wrt q.\nAnswer: -22*f**3 + 4*f**2 - 84*f*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - 6*y**2 + 6. Let f be v(6). Let c be f - 9\/3 - -4. Let a be 2\/c + (-72)\/(-42). Solve -6*x = -x - 3*h - 8, 0 = -a*x - h + 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207296 is divided by 51802.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a**2 + a**2 + 4*a**2 + 3*a**2.\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 520, 9, -1224 in descending order.\nAnswer: 520, 9, -1224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in -2, -3, -96, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 m, and 1 k when three letters picked without replacement from {m: 2, t: 2, z: 1, k: 1, h: 1, q: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 15*k + 11. Let y(h) = 7*h + 5. Let p(c) = 6*f(c) - 13*y(c). Let v(b) = -b**3 - 5*b + 5. Give -15*p(g) + 3*v(g).\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 7 - 11*l + 2 - 5.\nAnswer: -11*l + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from svzpsspszzjszzppzpp. Give prob of sequence psv.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1367 rounded to two decimal places?\nAnswer: -1.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*y - 2835 = -6960. What is the first derivative of 23 + y*s - 246*s + 69 wrt s?\nAnswer: -81","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/10 - (-27)\/45.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1518361 to the nearest integer?\nAnswer: 1232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 11*g + 12. Calculate the remainder when x(4) is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8637717 a multiple of 519?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - (18\/(-3) - 2). Solve -4*b - q = -4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87693.11 millennia to decades.\nAnswer: 8769311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -0.3, 1, -9.\nAnswer: -14, -9, -0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4*6\/(-120) - (-2 - -3)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-146)\/(-10))\/(1\/(-176)). Let q = -2580 - h. Calculate the common denominator of q and 25\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 11*o + 33*o + 180 = 0. What is the second biggest value in -1\/3, 27, 2, o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-36)\/(-60)*2*60 and 54?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -1\/6*d**3 + 5*d - 4*d**2 + 0. Let w be i(-6). Let y(l) = 2*l + 1. What is y(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 120\/7, 29, 4, 0.1, 0, 0.4, -3 in decreasing order.\nAnswer: 29, 120\/7, 4, 0.4, 0.1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1201 - -1205. What is the smallest value in -240, -1, -0.5, n?\nAnswer: -240","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216)*-5)\/(-5*sqrt(8)\/sqrt(4)).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + 0 - (-10 - 0)) + (-21 - -20)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-153 - -155 - (-21 + 0)) + -6?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttf when three letters picked without replacement from {t: 2, n: 1, h: 9, f: 1}.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15299*f + 305 = 15325*f - 215 for f.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + 6)\/(-10)*-70 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -15*s - 1. Let i(w) = 2*w. What is -2*h(x) - 10*i(x)?\nAnswer: 10*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)*-1)**2 + -4*(-3 + sqrt(2)).\nAnswer: -4*sqrt(2) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 150270 or 150280?\nAnswer: 150270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/61023060 and 167\/10260.\nAnswer: 183069180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8601894 months in centuries?\nAnswer: 0.0007168245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10821783 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 170 = -5*n, -4*p - 38 = -n - 7*p. Let c = n - 35. What is the lowest common multiple of 2 and -12*(6\/(-1) - c)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11522933 by 43.\nAnswer: -11522933\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z\/(z*z**(2\/7)))*z**18*z\/z**18*z**(-8)\/z assuming z is positive.\nAnswer: z**(-47\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 2*h + 3. Let g(r) = -9*r**2 - 11*r - 20. Let b(j) = g(j) + 6*k(j). Give b(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268706 is divided by 78?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*w + 11 + 6 - 42 - 19*w + 5*w**2 + 18*w.\nAnswer: 5*w**2 + 20*w - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 PM and 5:51 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3630)*-1 - sqrt(3630))*5*-2)\/((2*sqrt(2688))\/sqrt(7)*2).\nAnswer: 55*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 23*d**2 + 18*d - 170. What is r(-23)?\nAnswer: -584","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/1)\/(2 - (4 - 1)). What is the biggest value in 6, p, 0.3, -0.5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3996?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -15.876 (b) -4\/11 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 82*h**2 - 5*h + 9. Let s be g(2). Let j = -313 + s. Solve -17 + j = -m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b**2 + b + 1. Let d be m(3). Suppose -98*l + 9*l + 19313 = 0. Calculate the greatest common divisor of l and d.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 57 - 3?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/12*8822\/401*(-4)\/(-66)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*z - 3 = 4*h - 42*z, -24 = -3*h - 3*z. Is h != 40\/367?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.246 + 99.746. Let g = 4.5 + b. Let k = -103.99914 + g. Round k to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -14. Which is the closest to 0.1? (a) -0.1 (b) x (c) -3\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 - 6*(130\/(-5) - -32)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 368.3039 rounded to the nearest ten?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6623 = -s - 4*h, -3*s = 2*h - 8437 - 11452. Let k = s - 3030. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 4*v + 14, 0 = 3*v + 5*j + 10 + 6. Suppose 1171 + 2012 = -3*o. Is v\/3 + o\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2056*c + 3403 + 54547 = 1106*c for c.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43306, -86619, -129932, -173245?\nAnswer: -216558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g = -58*g + 640. Let p = -3 - -8. Suppose p*a = -5*n - 15 + 5, a + 8 = n. Solve 3*m = n*y, -2*m + g = -y + 3*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-4 + (4 - (-8 + 2))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3984*j**2*n**3 + 6*j**2*n**2 - 53*j**2*n + 2*j**2 - j*n**2 - j - 49*n**4 wrt n.\nAnswer: -23904*j**2 - 1176*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 138*d + 136*d + 1 + 0.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - 6*y - 13. Let o be c(8). Let l = -11 + 15. Let s(h) = -l - 2*h + 0*h + o*h + 0. Give s(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - 2*l + 2. Let c(q) = -3*q + 3. Let o(s) = -2*c(s) + 3*j(s). Let v(m) be the first derivative of m**2 - 7. Determine v(o(r)).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08447 to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wv when two letters picked without replacement from vlwwwvlzw?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 bigger than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 66 - 2636 = 0. Let o = n + 385. Suppose -2*k + o = z, -z - 2*k + 143 = -5*k. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*k - 0*k. Let c = 42 + -37. Let j = k + c. What is the remainder when j is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3020513752 to the nearest integer?\nAnswer: 1446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 168694, 337386, 506078, 674770, 843462?\nAnswer: 1012154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -2*m**3 + 2450*m = 0.\nAnswer: -35, 0, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3430 and 9070670.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-11 - (-12 - 4) - -7) + 356\/(-30). Factor 2\/15*z**4 + b - 4\/15*z**3 + 2\/15*z**5 + 2\/15*z - 4\/15*z**2.\nAnswer: 2*(z - 1)**2*(z + 1)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8.82 * -11.952\nAnswer: 105.41664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -41*r - 9. Let b be k(-14). Suppose -4*s + b = 3*a - 79, 4*s = -a + 220. Is 53 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -432*l + 540*l + 858 = -6 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3246972329 + 60\nAnswer: -3246972269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 338 and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 14*z**2 - 31*z - 17. Let w(r) = -6 - 15*r**2 + 36*r**2 - 10*r - 16*r**2. Let s(k) = 6*f(k) - 17*w(k). Factor s(l).\nAnswer: -l*(l + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90709 is divided by 134.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*d - 6*d + 2*d)*(-6754*d**2 - 79*d**3 + 6754*d**2) as g + a*d**4 + u*d + f*d**3 + o*d**2 and give a.\nAnswer: 790","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 22 = -13*j. Solve 0 = 4*i - y - 21, 2*y = -j*i - 1 + 9 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3*k = -1, -m + 3*k + 1 = -4. Suppose m*o = -2*o + 112000. Suppose o = -h - 3*h. Round h to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -3. Suppose -u + 169 = k*d - 3*u, 0 = -4*d + 5*u + 223. Suppose 3*c - d = -0*c. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**2 + 89*x + 415. Give m(-6).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -83 + 102 + (8 - 81 - -12)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69 - 63 = 44*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -45403 - 200?\nAnswer: -50003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 0)*(-165 + 165 + 27*f**2).\nAnswer: -27*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -131\nAnswer: 1\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**3\/9 - 4*q**2\/9 - 320*q\/9 + 1792\/9 = 0. Calculate q.\nAnswer: -14, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-60)\/18*(-1270705 + (-6 - -1)). What is l rounded to the nearest one hundred thousand?\nAnswer: 4200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 + 2. Let z(a) = -518*a**2 + 73*a - 11. Let l(r) = -6*i(r) - z(r). What is the second derivative of l(q) wrt q?\nAnswer: 1048","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 AM and 2:41 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 9:18 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + -1. Find the common denominator of ((-5)\/70)\/(24\/(-1834)) and (-5)\/p*90\/(-125).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32908 and 124896252.\nAnswer: 1732","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {u: 10, n: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -11\/4 (b) 2698 (c) -2\/23 (d) -0.1 (e) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15361 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124*s + 55*s + 179*s + 2 + 264*s.\nAnswer: 622*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 - -2.1. Let r = -4 - -1.6. Let d = v + r. Sort d, -0.1, 2\/9 in increasing order.\nAnswer: d, -0.1, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -22*d**2 + 614*d + 1. Let c(i) = -16*i**2 + 409*i. Calculate 7*c(f) - 5*g(f).\nAnswer: -2*f**2 - 207*f - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 788 or 790?\nAnswer: 788","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.839 times 4.82?\nAnswer: -23.32398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -0.00734?\nAnswer: -0.00734","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -1608 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + r - r)*(-4*r + 4*r - r - 4*r + 0*r - r + (-4 + 8 + 0)*(-4*r + 3*r - 2*r) - 2*r + 2*r + r).\nAnswer: 68*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 184752, 184502, 184250, 183996?\n\"Answer: -c**2 - 247*c + 185000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -526 = 543*q + 261 - 166 + 465 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of 7\/6*o**4 - 23\/60*o**5 - 1\/210*o**7 + 15*o**2 + 0 + 0*o + 1\/15*o**6 - 2*o**3. Find p, given that i(p) = 0.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bs when two letters picked without replacement from bssbsbpssbsp.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-8)*2544\/5724?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*k**3\/3 + 31534772*k**2\/3 + 3003312*k = 0. What is k?\nAnswer: -2\/7, 0, 2252484","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 602543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18366841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 113 + -120. Let u = -0.5 + 1. Which is the smallest value? (a) l (b) -1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = -4*h + 32, -6*h + 15 = -314*x + 314*x - h for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001091219 rounded to 6 dps?\nAnswer: 0.000109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41 - -98. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - p + 46 = 0, 6*p - 14*p + 209 = 4*b - 123 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b + b - 2*b + (1 + 0 + 1)*(129*b - 73*b + 87*b).\nAnswer: 281*b","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Is 284005 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-4)\/(-6)*1778\/(-127)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -5*p**3 - 90*p**2 - 4*p + 68. Let u be c(-18). What is the greatest common factor of u and 224?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 4*x = -3040 + 484, -5*l - 4*x = -3222. Suppose 0 = 5*q + 4*i - l, -q - 141 = -2*q - 5*i. Suppose -q = -3*m - 33. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 7*z = -20, 5*a - 35 = -4*z. Calculate the smallest common multiple of a and 103.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1500365 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*k*n**2*r + k*n**2 - 3*k*n + 3*k*t + 357*k + 65052*n*r*t wrt r?\nAnswer: -2*k*n**2 + 65052*n*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -11) + -14 + (-6 - -34) + 0\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 46252*i*j*s - 8*i*s**2 - i*s - i + 2*j*s**2 + 2*j*s - 5*s**2 + 19*s - 233 wrt j.\nAnswer: 46252*i*s + 2*s**2 + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12313 - -3?\nAnswer: 12322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ziibbbzbl. Give prob of picking 1 z and 1 l.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of a**8\/84 - a**5\/60 + 3*a**2\/2 - 1. Let g(f) be the second derivative of r(f). What is the third derivative of g(t) wrt t?\nAnswer: 240*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 3:27 PM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3379.\nAnswer: 31, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 11:15 PM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(5\/1*1\/70*2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 7*h**3 + 469*h**2 + 9*h + 153. What is g(-67)?\nAnswer: -450","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1221*r**2 - 4109*r**2 - 960*r**2.\nAnswer: -6290*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from wwiwwwwwwwwiiiiwww.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 3*v + 2*a - 77, -2*a - 14 = -v. Suppose -17 = k + 7. Let g = k + v. Solve g = -3*r + 2*r - 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, 40, 3, -0.5?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -291588060 rounded to the nearest one million?\nAnswer: -292000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**3 + 3*x**3 + 2*x**4 + (-3 + x + 3)*(x**3 + 0*x**3 + x**3) - 13*x**4 + 22*x**2 - 22*x**2.\nAnswer: -9*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/((-5)\/(190\/3)). Let f = 58 + n. Let t = f - -36. Is 14 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 32 + -16?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4813 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of v**5\/60 + v**4\/3 + 3*v**3\/2 - 3260*v**2. Calculate n(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**3 - 11*v**2 + 287*v - 2156. Calculate o(8).\nAnswer: 460","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {s: 2, e: 2, g: 1, j: 3, c: 2, i: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 4:14 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -c**6\/40 + 5*c**4\/24 - 3*c**2 - 6. Let s(o) be the second derivative of z(o). Find the second derivative of s(x) wrt x.\nAnswer: -18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(0 - 8863 - -2) + 4. Suppose -11837 = -4*c - 6*d + 5*d, y = 3*c + 5*d. Suppose -7*n + c = 3*n. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -28245, -56444, -84653, -112878, -141125, -169400, -197709, -226058?\n\"Answer: -j**3 + j**2 - 28195*j - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d + 4*d - 6*d + 732 + 109*d**2 - 111*d**2.\nAnswer: -2*d**2 - 5*d + 732","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 22*j + 72. Let d be m(-18). Sort -5, d, -4, 1\/2 in descending order.\nAnswer: 1\/2, d, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 305, 308, 311?\n\"Answer: 3*l + 302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011100001001011100100 - 1?\nAnswer: -1011100001001011100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/16176 and -137\/108.\nAnswer: 145584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 0.3, 4, -0.2, -46394 in descending order.\nAnswer: 4, 0.3, -0.2, -2, -3, -46394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-six fifths of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 81 + -77. Suppose 5*k - b*k = 57. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*n = -193*n + 31*n + 1560 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/176814 and -23\/5643?\nAnswer: 530442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 47 times 6.393\nAnswer: 300.471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 663090419 to the power of 1\/3, to the nearest integer?\nAnswer: 872","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*v**2 + 0*v**2 + 2*v**2)*(225*v + 60*v**2 - 225*v) in the form y*v + r + f*v**2 + d*v**4 + i*v**3 and give d.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (sqrt(25)\/(sqrt(15)\/sqrt(3)) - sqrt(25)\/sqrt(5)*-4) + sqrt(20) + -2*sqrt(20) + sqrt(50)\/(-1*sqrt(10)))*-2 + -1)**2.\nAnswer: 40*sqrt(5) + 105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21*a**6 - 4*a**5 - 13*a**2 + 2*a.\nAnswer: 2520*a**3 - 240*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 - k - 3. Let r(c) = 3*c**2 - 25*c - 21. Determine r(h) - 6*y(h).\nAnswer: -3*h**2 - 19*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 16 = -2*y. Let v = y - -5. Let o(p) = -p**3 + 31*p**2 - 31*p**2 + v. Let x(n) = 10*n**3 - 9. What is 18*o(u) + 2*x(u)?\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*z**2 + 39*z**2 - 12*z**3.\nAnswer: -12*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**3 + a**5 + 3*a**3 + 16*a - 16*a + a**5 + (484 + 8*a - 484)*(2*a**4 - 2*a**4 + 3*a**4) + 2*a**5 - 1 + 1.\nAnswer: 28*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1339, -1 in ascending order.\nAnswer: -5, -1, 1339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -2794134.\nAnswer: -8382402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 128156, 512757, 1153752, 2051135, 3204900, 4615041, 6281552, 8204427?\nAnswer: 10383660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1 + sqrt(176)).\nAnswer: -2 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3140977 or -3140972?\nAnswer: -3140972","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -169556, -674653, -1516482, -2695043, -4210336?\n\"Answer: -168366*s**2 + s - 1191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of m**7\/168 + m**4\/24 - m**3\/2 - 4*m. Let y(c) be the second derivative of t(c). What is the derivative of y(h) wrt h?\nAnswer: 15*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 664 divide 2103947744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15849 + -15849. Let f(u) be the second derivative of 7\/20*u**5 + 20*u - 23*u**2 + 0*u**3 + 0*u**4 + w. Differentiate f(o) wrt o.\nAnswer: 21*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138119 is divided by 137.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -155768666\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 6. Let t = 2 - -1. What is the units digit of (-5)\/z*(t - 5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 2 j, and 1 v when four letters picked without replacement from {j: 2, d: 8, c: 4, g: 3, v: 2}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 186 = 34. Let i = -12603 - -12615. What is the remainder when (b\/(-6))\/((-2)\/(-30)) is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xbmfryb. Give prob of picking 1 r, 1 y, and 1 b.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -31821, -14, -6 in descending order.\nAnswer: -6, -14, -31821","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 4*a + 372, x - 4*a - 107 - 49 = 0. Is 2 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60890057?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2 - 147*n - 1788468.\nAnswer: 3*(n - 797)*(n + 748)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 3*t = 41, 3*g - 27 = -0*t - t. Let b = g - -38. What are the prime factors of b?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 10 = -w, -2*w - k + 10 = -4*k. Let r(g) = g**2 - 6. Let m be r(3). Suppose -m*t + 5 + 4 = 0. Solve w*q - t*q + 10 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + 3 + -1 - 1879. Let l be ((-202)\/(-6) + 1)*h. Round l to the nearest 1000.\nAnswer: -65000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 46 = 2*u, 22*w - 23*w + u + 9 = 0. Solve 3*b = -4*b - w for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a gram in milligrams?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -209287*v**3 - 41527 wrt v.\nAnswer: -627861*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -q - 0 + 4, -3*q = -r - 8. Suppose -q*h = 12*h - 930. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -110 - -114. Suppose w*b + 2641 = 3*v, 3*v + b - 2328 - 338 = 0. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 864, 782, 556, 114, -616?\nAnswer: -1706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2247, -2245, -2255, -2283, -2335, -2417, -2535?\nAnswer: -2695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 11231230201 (base 4) to base 12\nAnswer: 602a01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 + -23. Suppose 3*i + 4*f + 38 = -2*i, -18 = v*i - 3*f. What is the common denominator of -11\/9 and (-134)\/i + 3*8\/(-36)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/649726 and 45\/371272.\nAnswer: 2598904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i**3 + 6*i**2 + 5*i + 2. Let d(c) = -2*c**3 - 5*c**2 - 4*c - 1. Let f(q) = -3*a(q) - 4*d(q). Let m be f(1). Sort -1, 3, m.\nAnswer: -1, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xaxxqqaxxqxaxqxaxxxx. Give prob of sequence qaaq.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + -1 + 10*1\/5. Solve d*t - 3*t - 12 = -5*q, 0 = -4*t - 2*q - 6 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 6. Let u(k) be the second derivative of -k**2\/2 + 34*k. Let n(a) = a - 1. Let p(q) = h*u(q) + 2*n(q). Let c(w) = -3*w. Give c(p(j)).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/16*16\/10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1606 (base 11) in base 5?\nAnswer: 31223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5741798146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.125451 nanograms to kilograms.\nAnswer: 0.000000000009125451","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 17*c**2 - 1 - 2.\nAnswer: 17*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*l**2*p - 539*l**2 - 347430*l*p**2 + 8*l - 50 wrt p?\nAnswer: 8*l**2 - 694860*l*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -87a58?\nAnswer: 87a57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dfiffdfiffl. Give prob of picking 2 d.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 954\/(-424)*(-20)\/(-6)*(-6)\/5\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/4 (b) 0.4 (c) 5 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*o = -84 + 544 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 57*s - 16. Let f be ((-18)\/(-27))\/((-1)\/6)*-1. List the prime factors of g(f).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from 0.2931237.\nAnswer: 0.6931237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - 5*z**2 - 1. Let r(t) = -204*t - 7 + 2*t**2 - 10*t**3 + 193*t + 11*t**3. Let q be r(-4). Determine p(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 2*t)*(-50353 - 69475 - 13484 - 93238 + 31300) to n*t + p and give n.\nAnswer: 390500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2103233 (base 4) in base 2?\nAnswer: -10010011101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, -590\/29, -3\/4, -1 in ascending order.\nAnswer: -590\/29, -1, -3\/4, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 177, 356, 535?\n\"Answer: 179*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 10*y**2 - 6*y + 47. Determine w(-11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 - -0.099955. Round k to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2e9d (base 16) to base 11.\nAnswer: -8a69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 428 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**(-6\/13)*o**(-2\/7)*o*o**9\/o**(-6\/5) assuming o is positive.\nAnswer: o**(5631\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 515 + -521. Which is the smallest value? (a) -1.7 (b) d (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 46*h - 83. What are the prime factors of m(14)?\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 350 = 2*a, -4*u - 6*a + 462 = -a. Does 7 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*v - 47*m - 210 = -44*m, 4*m = 3*v + 3*m - 31 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - u**2 + 2*u - 5. Let d(b) = -2*b**2 + 3*b + 5. Let p be d(3). Is j(p) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 182*j**2*v**2 - 8*j**2 + j*v - 337*v**2 - v + 2712 wrt v.\nAnswer: 364*j**2 - 674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24795652?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1612, -76, -0.6, -3.1, 3\/7?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 + 232a?\nAnswer: 2324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u - 1. Let a be b(-1). Suppose a = 3*y - 6 - 3. Suppose y + 7 = 5*z. Let d(k) = -2*k - 2. Give d(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e5919e - -2?\nAnswer: -e5919c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 4*w**2 - 3*w - 108. Let y be q(-8). Let h = y - 167. What is the smallest common multiple of h and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 293.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 25*q**2 - 54*q - 4. Let h be v(27). Calculate the lowest common multiple of h\/((32\/21)\/(-8)) and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16370335\/7 - 2338624. Let j = -0.4 - 0.1. Let z be 44\/(-42) + 2\/(-7). What is the smallest value in q, z, 0, j?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*(-5 + 133\/63 + 4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/9 + (-52)\/9. Let n(a) = 0 + 330 + 9*a - 338. Let w be n(z). Which is smaller: -63 or w?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 307958?\nAnswer: 2, 7, 21997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**2 + 2*f - 2. Let l be o(-2). Suppose l*h + 3*d = 28, -6*h = -3*h - 3*d - 12. Solve 4 = 2*g, -5*g + 8 = 3*a - h for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -829*v**2 + 180*v**2 - 1774*v**2 - 927*v**2 to i + d*v + k*v**2 and give k.\nAnswer: -3350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1417064*d*i**4 + 1862676*d + 2*i**4 wrt i?\nAnswer: -5668256*d*i**3 + 8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-5\/3)*p**(-2\/3)*p assuming p is positive.\nAnswer: p**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, n: 2}. What is prob of picking 3 l?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 2:58 PM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20742946?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(5) + -2 + sqrt(5)))**2 + 4 + sqrt(5) + 0)*-1.\nAnswer: -388 + 127*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 210351?\nAnswer: -210345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 10*a**2 - 18*a - 10. Let k be t(8). Which is bigger: k or -27?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60104.\nAnswer: 2, 11, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 0, 19 in ascending order.\nAnswer: 0, 10, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (84\/70)\/((-4)\/10) - -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 499, 134, -93.\nAnswer: -93, -2, 4, 134, 499","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 - (-297)\/9 - 14?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - -22 - (-2 - -17)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4658995, 4658986, 4658977?\n\"Answer: -9*y + 4659004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -0 - 10. Find the third derivative of -2*s**4 - 3*s**q - 3*s**4 + 6*s**4 + 0*s**4 wrt s.\nAnswer: 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -2\/2407?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 + (-22)\/(-6))*-3. Let n be (u\/36)\/1*-2. Which is the nearest to 2\/3? (a) 2 (b) n (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 1) + -3 + 0\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -159 - -162. Which is the nearest to -3\/4? (a) 1 (b) -1\/63 (c) 0.1 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u - 9*u = 48. Let b be (208\/u - 8)\/(17\/3). What is the second smallest value in -2, b, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 n when four letters picked without replacement from lllnlllzlnlllllll.\nAnswer: 13\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**2 + 4*b + 3. Let h(z) = z + 1. Let l = 5 - 8. Let p = -2 + 3. Let k(n) = l*h(n) + p*d(n). Find the second derivative of k(v) wrt v.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/7 - 40336*u**2\/7 - 39672950*u\/7 - 9529497500\/7.\nAnswer: 2*(u - 21118)*(u + 475)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, l: 5, i: 3}. What is prob of sequence liii?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 3, -368, -2\/3, 188?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2156564 (base 7) to base 8.\nAnswer: 1010333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56450 to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-30)\/(-105) + (-345920)\/(-70)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 i when two letters picked without replacement from iiidtiiitiditioit?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 66*j**2 - 1053*j - 4. What is b(-27)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17\/3 in 3, -0.1, -10?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/50 and -13\/25.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q - 2. What is w(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 3410?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -108 - -166. Calculate the remainder when 114 is divided by o\/(-4)*-1*(3 + -1).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-106*w + 106*w - 6*w**2)*(-3*w - w + 5*w) + (-141*w + 329*w - 86*w)*(3*w**2 - 3*w + 3*w).\nAnswer: 300*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 18140 times -51\nAnswer: -925140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -82230000 rounded to the nearest one million?\nAnswer: -82000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 - 21*w + 52. Determine z(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, y: 1, l: 2, z: 1}. What is prob of sequence yzl?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1434 - -0.16. Let k = l - 65.3166. What is k rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*6*(-87)\/(-174).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 11:47 PM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 31371 = 3*r, 4*r + 52273 = 5*v + 2*r. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + -1)*2*-1. Suppose -2*f + 3*m + 6 = -0*f, -l*f = 3*m - 6. Suppose -8*i = -f*i + 13000. Round i to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3427492896?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 10:52 PM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 67*j**2 - 101*j - 174. What are the prime factors of h(-66)?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 11257200\nAnswer: -1\/11257200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8759 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 58338 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4284, -3.\nAnswer: -3, 2, 4284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3*l - 30 = 0, 0*j - 4*j + 4 = -5*l. Let k(p) = 7*p - 33. Let b be k(j). Suppose -5*r + 36 = -4*r. What is the highest common factor of b and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 5*l. Let y(f) = 21*f**2 + 14. Let n(b) = 7*b**2 + 5. Let o(q) = -14*n(q) + 5*y(q). What is t(o(c))?\nAnswer: 35*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aqaaqaaiaaiaii. Give prob of sequence aiqq.\nAnswer: 8\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 232 = 12*n + 124 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 88432025.8 rounded to the nearest one thousand?\nAnswer: 88432000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 4, -73, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 + 19. Let k = 1 + -4. Let w = k - 2. Sort w, b, -4.\nAnswer: w, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y - 5. Let m(t) = -14*t - 20. Give 6*m(p) - 22*z(p).\nAnswer: -18*p - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 4*v - 2. Suppose 2*i + 19 - 9 = 0. Let q = 16 + i. What is the remainder when q is divided by r(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence emeh when four letters picked without replacement from {h: 2, p: 2, e: 3, m: 2, t: 8}?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjzj when four letters picked without replacement from {j: 11, z: 2}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 56125.86kg in grams?\nAnswer: 56125860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 916*j**3 - 4331136*j**2 + 5120424000*j - 1609486848.\nAnswer: 4*(j - 2364)**2*(229*j - 72)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 5 - 4)*(-13 + 15 + 3*w - 2*w) to the form p + i*w and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 0, 5, 1\/8, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.9 - -0.6. Let x = -2 - -7. Which is the third smallest value? (a) x (b) m (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 3*t = -2*t - 2*t + 62, -13*a - 6924*t = -6918*t + 217 for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3*a - 24 = 0, 7*h - 12*h + 3*a = -120. Calculate the highest common divisor of 42 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 4*y - 8 = 0. Let v be (-4)\/(-2)*(-1)\/(-1). Let u(h) = -2*h**v - 5*h**y + 4*h**2. Let r(g) = -g. Give r(u(l)).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5d - -7a?\nAnswer: 1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*c + 492 = 2*g - 22*c, 0 = 5*g + 4*c - 1185. Let y be (-2)\/6 + 20\/6. Suppose d + y*d = -j + 52, -5*j - d + g = 0. Does 24 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -8*s**3 - 8*s**2 - 11*s - 2. Let x be w(-4). Let g = x - -1735. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35295*x**3 - 17849*x**3 - 17426*x**3.\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2242 divided by 1121.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 71, 201, 445, 839, 1419?\nAnswer: 2221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 7 + 3. Suppose -l*n - 2 = 5*r, 8 = 3*n - 4. Let d be (r\/5)\/(4\/(-10)). Is -1\/6 smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**4 - 52*f**3 - 188*f**2 - 236*f - 96 = 0. What is f?\nAnswer: -8, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -3*d**3 - 4146*d**2 - 124020*d + 7533000 = 0.\nAnswer: -1350, -62, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42 and (-260)\/(-78)*(-342)\/(-10)?\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1724*k**3 - 465500*k**2 + 5400*k.\nAnswer: 4*k*(k - 270)*(431*k - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - 6*o - 6. Let d(y) = -10*y**2 + 65*y + 65. Let v = -306 + 159. Let h = 212 + v. Determine h*l(j) + 6*d(j).\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -85319 > -85319?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1244 + -680. What is the hundreds digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 32 + -35?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -5*i**4\/4 + 67*i**3\/4 - 129*i**2\/2 + 45*i + 54 = 0.\nAnswer: -3\/5, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -8.1. Let m = -0.3 + 0.3. Let l = m - w. Which is the nearest to l? (a) 4\/3 (b) -3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 13 = -z - 5, 0 = z - 5. Find the first derivative of -3*i**2 - 32 + 2 + i**2 + 709*i**3 - 723*i**f wrt i.\nAnswer: -42*i**2 - 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -577 times 0.5\nAnswer: -288.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-1624)\/(-116)*9\/(-21)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 5*t**2 - t + 2. Let j be o(-5). Suppose -j*i = -9*i + 50. Calculate the remainder when i is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(21)\/sqrt(3) - sqrt(7))*2 + 2 + 1 + sqrt(7))*-3 + (0 + sqrt(175) - (sqrt(7) - sqrt(7)*1*2)) + -5)*-4.\nAnswer: -12*sqrt(7) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 5:19 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-13)\/(-3) - (-12)\/(-36). Let z be 9\/(-6)*x\/(-3). Put -4, 1, z in ascending order.\nAnswer: -4, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*2*99\/6. Let s be ((-40)\/(-6))\/(-2)*z\/22. Solve -s = 7*n - 2*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -215285, -861162, -1937625, -3444674, -5382309?\nAnswer: -7750530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 956 - 957. Which is the closest to -2? (a) 56 (b) -2\/11 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1991 a factor of 539577083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 n when three letters picked without replacement from {b: 3, n: 4}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/6)\/(6\/(-9))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(3\/14)*p))\/p*p*p\/(p\/(p*p**(3\/14)))*p*((p**(-16)\/p)\/p*p)**3 assuming p is positive.\nAnswer: p**(-49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 793*z + 801*z = 1585*z - 38, -18 = -2*p - z for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 669557 (base 12) to base 16.\nAnswer: 18edd3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 8:37 PM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/10*(-270)\/(-72)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence khkh when four letters picked without replacement from {h: 16, k: 2}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3282 + -3273.598. Round h to one dp.\nAnswer: 8.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 4 = -0*g, -5*y = 3*g + 8. Is y < -1\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -307\/1749 - 1\/159. Let j = 50715.9 + -50716. Which is the closest to j? (a) 5 (b) h (c) 27\/2 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -263 - -296. Suppose 0 = 6*d + 2*d - 24. Calculate the remainder when k is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -4*l - 6. Let g be o(-5). Suppose 2*r - g = -0*r. Let d be -5 + 16 + -4 - 1. Solve -4*j + r*j = -d for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 3 + 1, -4*g - 5*j + 64 = 0. Suppose g*s = 12*s - 2. Factor 5*t**3 + 111 - 3*t**3 + 24*t**s + 17 + 96*t.\nAnswer: 2*(t + 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 + 41343?\nAnswer: 41354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 - 44 - 2*x - 4*x + 3*x - 50 + 111.\nAnswer: -3*x - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.1 + -0.1. Let i = -3 + 6. Suppose -i = 2*u - 1. Which is the closest to u? (a) -3 (b) -5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115613376?\nAnswer: 2, 3, 602153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*m + 49*m - 2*j + 2 = 0, 2*m = -j + 4 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-2*sqrt(272) + sqrt(272))**2 - (-5 + sqrt(272) + -1 + sqrt(272)) - (1*1*(sqrt(272) + 1))**2.\nAnswer: -16*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -12*b**2 - 3*b**2 + 0*b**2 - 5*b**3 + 0*b**3 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34)\/(-1*sqrt(2)) + 0 - 1*sqrt(153)*-6)**2.\nAnswer: 4913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -26*h**3 + 50*h**2 - 17*h - 46. What are the prime factors of g(-5)?\nAnswer: 3, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10852704 by -216.\nAnswer: -50244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 677*u - 67693. Give t(100).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/6)\/((2\/3)\/1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.93, -6, 3, -72, -4, 0.2 in decreasing order.\nAnswer: 3, 2.93, 0.2, -4, -6, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9.3 + 9. Which is the nearest to 0.1? (a) j (b) 1\/3 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -0.5 (b) 0.2 (c) -2 (d) -0.0071\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57, 0.2, 0.4.\nAnswer: -57, 0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 753.6379 grams?\nAnswer: 0.7536379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -2*h - 2, 0 = -u + 4*h - 2*h - 1. Calculate the remainder when 9\/(36\/4)*25 is divided by (-3)\/(2\/6*u).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 488 + -483. Solve -h = 5*k + 1, -16 - 1 = s*k - 3*h for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 6*x**2 - 311*x + 6982. What are the prime factors of z(29)?\nAnswer: 3, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/5))**(3\/10)\/(s\/(s\/s**(1\/3)))**32*((s**5*s)\/(s**(-2)\/s))\/(s\/s**(-1\/2))**(7\/4) assuming s is positive.\nAnswer: s**(-2503\/600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s**2 + 30*s - 3. Let q(a) = 506*a**2. Give p(q(k)).\nAnswer: 768108*k**4 + 15180*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**2 + 0 + 0 + (d + 7 - 7)*(-18*d + 26*d + 25*d).\nAnswer: 35*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/2 or -4\/7285?\nAnswer: -4\/7285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-35)\/(-21) - (-3703)\/(-924) and -3\/10.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -1 + 2 + 2 + 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 32801483 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3\/4)\/k**(6\/17))\/(k**12*k**(-2\/85)\/k) assuming k is positive.\nAnswer: k**(-4107\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 2 (c) -1.55 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -287657\/16 - -16960. Let p = s + 1017. Calculate the common denominator of p and -13\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/71621160 and -55\/1285508.\nAnswer: 501348120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 13 - 4. Suppose 0*b - r*l - 20 = -2*b, -2*b = -5*l - 16. Let g(w) = -w**3 + 12*w**2 + 14*w - 12. What is the units digit of g(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*g**4\/3 + 49253*g**3\/3 - 19702*g**2\/3 = 0. What is g?\nAnswer: -9851, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 65241 and 35586.\nAnswer: 391446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102210 (base 3) to base 10.\nAnswer: -318","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 17*a**2 - a - 18. Let v(z) = 6*z - 7. Let g be v(2). Suppose g*d = -43 - 42. Let k be s(d). Is k != -1.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - -3) + (7 - 3). Solve r*h = 8*h - 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((65 - 12) + -15 - 5) + -12.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 1.3, 0.5 in ascending order.\nAnswer: 2\/9, 0.5, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*h**2 - 4*h**2 - 6*h**3 + 3*h**3 as f*h**2 + w + c*h**3 + d*h and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 4:44 AM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 - -37. Suppose 0*j + 3*c - 94 = -j, -l*c + 6 = 0. Let t = 155 - j. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -k + 11, -2*l + l + 8 = 3*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 13*t. Let n(m) = -2*m**2 - m - 6426. Determine s(n(y)).\nAnswer: -26*y**2 - 13*y - 83538","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 224\/9 - 2339\/90. Find the common denominator of d and -22\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -8*s**3 + 7*s**2 + 2*s + 6. Let r(o) = -15*o**3 + 13*o**2 + 4*o + 11. Let z(c) = c**3 + 4*c**2 + 2*c + 2. Let u be z(-4). Give u*r(y) + 11*m(y).\nAnswer: 2*y**3 - y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1786, -3576, -5366, -7156, -8946?\nAnswer: -10736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.14890094064 to two decimal places.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -7039*l + 112585. Give r(16).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 845 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -5*l + 1. Let p = -3 + l. Suppose -988 = 64*h - 1628. What is the lowest common multiple of p and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-319)\/29)\/(21\/(-63)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -249 - -250. Which is the second biggest value? (a) 8 (b) 11\/8 (c) 0.1 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(2) - sqrt(8)) + sqrt(2)*2 + -4.\nAnswer: -4 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-2))\/(120\/(-1440)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 7*s**2 + 7*s - 7. Let a(v) = -4*v**2 - 3*v + 3. Let k(n) = 2*n**3 - 43*n**2 - 22*n - 3. Let d be k(22). Determine d*l(r) - 7*a(r).\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 230, 918, 2064, 3668, 5730, 8250?\nAnswer: 11228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 7 = -i, -3*i - 17*b + 11 = -22*b for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 3*w + 183 = 168, 2*v - 4*w = -6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c - 9 + 9)*(-88*c**3 + 88*c**3 + 16*c**4) + (c**3 - 2*c**4 - c**3)*(2*c + 0*c - 3*c) + 1 - 1 + 3*c**5.\nAnswer: -75*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3975 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**3 - 211*k**2\/3 + 212*k\/3 - 52\/3.\nAnswer: (k - 13)*(3*k - 2)*(5*k - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/4)\/(0 + -1). Let i = 0.23 - 0.53. Let s = i + 0.3. Which is bigger: s or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10529285045 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -88196062*s + 88196062*s + 15376*s**2 in the form m*s + w + u*s**2 and give u.\nAnswer: 15376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 819\/(-468)*(-2)\/7*-42?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-10)\/30) + (-14378)\/(-714) + -21?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/126*(-3381)\/42?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2646843 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ptq when three letters picked without replacement from hqqkhthqkqptkthqqq?\nAnswer: 7\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 15009 and -0.07.\nAnswer: 15008.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 2:53 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5082 = 427*f - 1153*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9102 + -9101.6. Let p be 2\/(-7) + 259\/735. Let y = p + 3\/5. Which is the nearest to y? (a) -2\/7 (b) i (c) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of -w**8\/840 - w**5\/6 + w**3 + 8. Let o(v) be the third derivative of g(v). Find the second derivative of o(h) wrt h.\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/3*-28*(-936)\/(-5824)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1982 in 0.26, -1, 3, -4, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 + -3 + -28 + 21 - -3.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-99)\/(3564\/(-240)))\/((-14)\/168).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0355899653 to 4 decimal places.\nAnswer: -0.0356","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1, 18, -0.4, -0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - 7*g**2 + 6*g + 2. Let u = 10 - 4. Let s be p(u). Suppose 7*h = s*h. Solve h = -b - 4*b - 10 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 2. Suppose 0 = -l - 0*l + 2*c - 12, b*l + 14 = 2*c. What are the prime factors of ((-42)\/(-9))\/(l\/(-6))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seventeen quarters of a centimeter?\nAnswer: 42500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 18*f - 17. Suppose 3*u = z - 0*z - 22, -4*z = -4*u - 56. What is the units digit of a(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of -y**5\/80 + y**4\/32 + y**3\/4 - 201*y**2. Factor h(k).\nAnswer: -3*(k - 2)*(k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18 - -19) + 1\/(-4). Which is the closest to 4\/5? (a) -4 (b) n (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -5*y + 2*y - 2*s, s - 2 = 0. Solve -y = 3*m + 6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4*6*(-6)\/(-36) + -9 + 15. Solve 5 = -5*w - 2*i, -5*w + 5 - f = i for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of (5061*(5 + 3))\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 20\/7 + (0 - 2). Let a be (-1 - 4) + 19\/(38\/12). Which is smaller: a or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 773977177 to the power of 1\/3, to the nearest integer?\nAnswer: 918","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 50024 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11731 = 9*o - 24035. Suppose -65651 - o = 4*i + 5*u, 25 = -5*u. What is i rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/473 and 51\/4730.\nAnswer: 4730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-228)\/9 + (-2)\/(-6). Let y(d) = -d**2 + 5*d + 24. Let a be y(14). Does 5 divide 2\/(a\/x + -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**3 + 159*p**3 - 8*p**3)*(-4 + 6 - 1) + (1 - 5 + 2)*(-5*p**3 + 4*p**3 - p**3) - 2*p**3 + 2*p - 2*p.\nAnswer: 156*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-16)*2*(-14)\/21\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 194 - 191. What is the nearest to -0.03 in -2\/3, -0.1, -49, u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (2 + 22)\/(45\/330)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o - 3. Let t = 28 - 25. Suppose -2*s - 5 = -h, -5*h + t*s + 6 = -3*h. Calculate m(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-60)\/6 + 7\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13812714317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22103345 by 2009395.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 5*p - 61 = 0, -5*x + 206*p - 208*p - 70 = 0. What is the common denominator of (-2)\/x + 70*(-7)\/112 and 3\/(-72)*(0 + 17)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1184*b + 763 wrt b.\nAnswer: 1184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19505*d + 1143*d + 14959*d.\nAnswer: 35607*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/11, -3, -2\/11, 1.4, -0.8, -5, 31?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6904577 take away 3.2?\nAnswer: -1.5095423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28 - 26. What is the tens digit of ((2 + -3)*-21)\/(3\/g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -103*j**3 - 102*j**3 - j**2 + 301*j**3 - 97*j**3 + 40 in the form o*j**2 + q + h*j**3 + m*j and give q.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - u**2 + 120. Is c(0) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1480*v + 1476*v - 15 = -z, -3*v = 7*z + 50 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j + 20. Give r(15).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**2. Let m(p) = p - 6. Let f = -181 - -184. Let o(h) = 7. Let s(z) = f*m(z) + 2*o(z). What is d(s(i))?\nAnswer: 18*i**2 - 48*i + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -f + y, -66 = 2*f - 5*y - 42 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (3 - (-3 + 11)) + 12274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1753 + 1752.99999999. Round u to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*c + 37*c + 40*c - 113*c + 599 to the form d*c + r and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20259137?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 PM and 8:54 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 8*v**2 + 11*v - 3. Let o be c(9). Let a = -15 + o. Let l(s) = a*s - s - 6*s. Let x(h) = h**2. What is x(l(f))?\nAnswer: 49*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -161 + 201. Let t = k + -39.5. Let n = 10 - 9.6. Which is the closest to 3? (a) -5 (b) t (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25221116 to the power of 1\/2, to the nearest integer?\nAnswer: 5022","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -2, -2\/7, 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*t**2 + 0 - 4*t.\nAnswer: -2*t*(t + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 738086 and 294250.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10819929, 10819933, 10819937, 10819941, 10819945?\nAnswer: 10819949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2 + 5 + o**2 + 0 in the form k*o**2 + g*o + y and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 756*s = -868*s - 51968 for s.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millennium in months?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 11 + 4 = 0. Suppose 3*r = -3*b - 2994, -r = r - 4*b + 1984. What is the units digit of r\/(-6) - (-6 + c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 13 = 5*p, 3*b - b - 2*p = 22. Let z(c) = c - 8. Let w be z(8). Suppose -u = -w*u - b. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a - 15. Let m(n) = -n - 38. Let j(x) = -6*b(x) + 2*m(x). Give j(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 10, 4, -2, -8?\n\"Answer: -6*l + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 3*u - 3*u)*(0 - 2 + 0)*(-4 + 3 - 6)*(0*u + 4*u - 2*u).\nAnswer: -28*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and 426258?\nAnswer: 426261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of t**3 - 2 - 4*t - 13\/2*t**4 + 6*t**2 + 3*t**5. Solve r(n) = 0 for n.\nAnswer: -2\/3, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4124082 is divided by 92.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l**2\/7 - 69955120*l\/7 - 305857425888400\/7 = 0.\nAnswer: -8744390","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1867.\nAnswer: 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -7*x**3 - 3*x**2 + 3. Let p(o) = -o**2 + 1. Let j = -156 + 153. What is j*p(g) + r(g)?\nAnswer: -7*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s + 2*s - 6. Let f(p) = 2*p**2 + 10*p + 3. Let b be f(-5). Suppose s*l = -b*u - 9, 0 = -2*u - l - 0 - 1. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.7*-155\nAnswer: -573.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 3037 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -19*m**2 + m + 1. Calculate j(-1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 58\/(-208) - ((-76)\/(-13) + -6). Let n = 2.03 - 0.03. Which is greater: n or w?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -184 + 17 + 81 - -78.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97592?\nAnswer: 2, 11, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 107*w - 113. Give u(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*s**3 - 3*s**3 - s**3)*(-19*s**2 - 37*s - 1 + 37*s).\nAnswer: -57*s**5 - 3*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 0 (c) 164 (d) 297 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 110 and 561?\nAnswer: 5610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2 (b) -12 (c) 0.142 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bi when two letters picked without replacement from kiikkiiib.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1217, -924, -435, 250?\n\"Answer: 98*n**2 - n - 1314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/10 and -43\/1610?\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 1\/6 (c) 0 (d) 0.2 (e) -0.3157 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 56, -22 in decreasing order.\nAnswer: 56, 8, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2980234961?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37200824.\nAnswer: 2, 263, 17681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2211304 (base 5) to base 10\nAnswer: 38329","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*d + 91*d - 3640 = 28*d. What is the remainder when 69 is divided by d?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1039, -496, 3201, 11630, 26369, 48996?\nAnswer: 81089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7700.4387ms?\nAnswer: 0.00213901075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 93, 109, 127, 141, 145, 133, 99, 37?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 428*l + 439. Is n(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -189.2 and 4.\nAnswer: -185.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.13 + 4626.630215\nAnswer: 4626.760215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(3024) + sqrt(3024)*2) - sqrt(3024))\/(((sqrt(240)\/sqrt(4))\/sqrt(4))\/sqrt(5)))**2.\nAnswer: 49392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -62 (base 14) to base 10\nAnswer: -86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + l = -2*l + 412, 3*m + 2*l = 248. Suppose -m = 3*r - 5*r. What is the highest common divisor of r and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 7*q**5 - 2*q + q**5 + 2*q + 0*q**5 + 0*q**5 + 2*q**5 + (q**2 + 2*q**3 - q**2)*(2*q**2 + 5*q**2 - 5*q**2).\nAnswer: 14*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/9))**45 assuming o is positive.\nAnswer: o**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -28 + 217?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (89 - 50 + 74)*((-2 + 2 + 2)*(3 + 1 - 3) - 11 - 1 - 1)*(2*m + m - 4*m - 3*m + m + m + (m - 4*m + 4*m)*(2 + 2 - 2) - 1 + 1 + 2*m).\nAnswer: -2486*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -9. Let a = -130\/133 + 24\/19. Let g = 0.669 + -0.469. What is the third biggest value in g, a, s, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6614 or -6611?\nAnswer: -6611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 4. Suppose -r = -2*j - j. Calculate the least common multiple of 6 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*j**3 + 51*j**2 + 248 wrt j?\nAnswer: 9*j**2 + 102*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(60\/(-22) + 3). What is the third derivative of 6423*r + t*r**2 - 6423*r - 48*r**6 wrt r?\nAnswer: -5760*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*s - 16 = -26*s. Solve 2*r = -5*v + 13, -r + 3*v + 2*v = s for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -41, -88, -157, -260, -409, -616?\n\"Answer: -2*g**3 + g**2 - 36*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 544337219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8755 - 1?\nAnswer: 8754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t + 5*x - 32, 4*t - 10*x + 12*x - 32 = 0 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-114)\/(-24) + (-42)\/24. Let x(u) = 2*u**2 - 3*u + 5. Let q(w) = w**2 - 3*w + w - 3 + 2 + 4. Give j*x(n) - 5*q(n).\nAnswer: n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 523?\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14776\/9 - 1649. Let w = 515 + -1129\/2. Calculate the common denominator of s and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -24 + -807?\nAnswer: -832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 8126139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of z**3\/6 - 22*z**2 + 320*z + 11616. Determine o, given that l(o) = 0.\nAnswer: 8, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11341 = 33*o - 2387. Let a = o + -405. Solve 3*x + a = -4*r, 0 = 5*x - 3 + 8 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmfmmmmmmmmm. Give prob of sequence ff.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/(-10))\/((-9)\/30). Let r be -2 + 10\/t*-2. Which is bigger: 7\/2 or r?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -56 divided by 38\nAnswer: -28\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 4*m = -0*h + 20, -4*m = 4*h - 20. Suppose -9*k - 8 = -h*k. Let q(d) = 3*d**2 - 2*d + 1. What is the tens digit of q(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of l**4\/12 + 2*l**3\/3 - 30*l**2. Let h be 12*(-1 - (-3)\/2). What is the units digit of t(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 181*n - 1714. Is 6 a factor of b(33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 35*s**2 + 45*s + 348. What is the thousands digit of z(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9, 4, 5, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 4 - (-1 - 15)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 65 and 505427?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + 0)*-6 + (sqrt(17) - sqrt(34)\/sqrt(2)*2) + sqrt(17) - ((sqrt(17) + -3)*-4 + -3*sqrt(68)).\nAnswer: -12 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 0 - 2\/15*x**3 + 2\/5*x**2 + 0*x = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1121 (base 3) in base 13?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 4*u - 0*u + 44, -25 = 5*f - 5*u. Let y(p) = p**2 + 3*p - 16. Is 6 a factor of y(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36463859 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 3 - 4)*(-3*j - 3*j + 2*j).\nAnswer: 64*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 5. Suppose 5*x + 550 = 48*d, 11*x - 16*x = -2*d + 90. What is the third smallest value in x, b, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.4, -94, -3 in decreasing order.\nAnswer: 0.4, 0.3, -3, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 5*(sqrt(24)\/((3*sqrt(432) - sqrt(12)) + sqrt(12) + sqrt(12)) + -4)*6.\nAnswer: -115 + 30*sqrt(2)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 2\/6454507?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r - 273 = -13. Calculate the highest common divisor of 20 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/(-5) + (-13 - (-3 + 1)). Let r(a) = -a**3 - 6*a**2 - a. Let h be r(-6). Find the common denominator of 69\/10 and m\/(-3) - 130\/h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 32*n + 119. List the prime factors of r(3).\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 447551 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2971, -2992, -3025, -3076, -3151, -3256, -3397?\n\"Answer: -j**3 - 14*j - 2956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = 4*d - 4*k, 2*d + 6*d = 3*k + 194. Solve 0 = -4*b - d + 18 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -2*p + 8, -21 + 5 = -4*p - 5*m. Find o, given that -10 - 2*o**2 + p*o**5 + 12*o**2 + 15*o - 20*o**3 - 4*o**5 + 5*o**5 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18920 - 18923. Let h(z) = -13*z - 1. Let m be h(-3). Suppose -3*n = 1 + m. Which is the smallest value? (a) i (b) n (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -78025 by -5.\nAnswer: 15605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*p**2 - 3*p + 14*p**3 + 3*p.\nAnswer: 14*p**3 - 12*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 27817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5294464.\nAnswer: 2, 7, 19, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -15. Suppose -414 = -m*x + 5*x. Let a = 95 - x. Does 12 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18982464 rounded to the nearest 10000?\nAnswer: -18980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a century in months?\nAnswer: 7440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + w + 12 + 24, 3*q - 4*w - 8 = 0. Suppose -2*f = -s, 0 = s + 2*s - 5*f + 2. Let p = 6 + s. What is the greatest common divisor of q and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1022232100 (base 5) to base 7\nAnswer: -24160244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 21 = -4. Let a(x) = x**2 + 7*x - 1. What is a(r)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 4*f + 9 - 7 + 6 - 6*f + 9*f. Suppose 0 = -2*y - 2*y + 24. Let b be q(y). Calculate the highest common divisor of 20 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 14) to base 8\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**3\/5 - 143*x**2\/5 + 112*x - 556\/5 = 0 for x.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -301 + 3151 = 190*v. Solve -v = 3*j + 16*z - 13*z, -4 = 4*z for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of i**5\/12 + i**4\/8 + 2*i**3\/3 + 1052*i**2. Let g(j) = -10*j**2 - 7*j - 8. Determine -3*g(p) - 7*l(p).\nAnswer: -5*p**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 6. Suppose p = s - 3 - 1. Is 6 <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295537.9 plus -0.038475?\nAnswer: 295537.861525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -393, -1594, -3595, -6396, -9997?\n\"Answer: -400*u**2 - u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ymyy when four letters picked without replacement from yymyymmmmmym.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -16. Let p = 13\/30 + -83\/330. What is the second smallest value in 1\/3, p, k?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*h - 163 - 41. Suppose 96 = -2*j + 3*j. Suppose -2*l = -l - j. What is the greatest common factor of h and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 706 and 36?\nAnswer: 12708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 282\/7*i + 0 + 2\/7*i**2 = 0.\nAnswer: -141, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33 - -32. List the prime factors of (l\/(-3) + 0)*132.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -45107*a**2 - 2*a. Let g(v) = -3*v. Give u(g(m)).\nAnswer: -405963*m**2 + 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of 35*v**6\/2 + 8*v**3\/3 - 12*v - 62. Find the third derivative of k(w) wrt w.\nAnswer: 6300*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -54\/5 and (-156)\/20 - (2 + -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - q - 7. Let v = 6 - 3. Suppose b = 5*s - 25 - 4, -4*b = -v*s + 14. Is a(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 1:15 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*c + 5. Let i(y) = c*y**2 - 1 - 2*y**2 - y**3 + 3*y**2 - 6 + 9*y. What is the tens digit of i(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) - 3*2*sqrt(152))\/(((-1*sqrt(64) - sqrt(64)) + sqrt(64))\/sqrt(8))*-4)**2.\nAnswer: 7600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3529703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 187995.\nAnswer: -1\/187995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 588*v = -o + 586*v - 14, -13 = -o + v for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -223.9 rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 4*z - 4. Let k be m(-3). Let x(v) = -9*v**3 + v**2 - 8*v**3 + 6*v**3. Is 6 a factor of x(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 775452231?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 12:48 PM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 4*i**2 - 71*i - 276. Let b be v(-4). Calculate the greatest common factor of b and 6488.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13.9829*10.\nAnswer: 139.829","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -11*i - 1. Let j = 44 + -22. Let w = j + -15. What is the smallest common multiple of w and v(-1)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -7. Let g = 2\/401 + -824\/4411. Which is the nearest to -1? (a) -5 (b) x (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8.17*-5\nAnswer: 40.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/99 and 1\/162?\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 197043\/63 - (-6)\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -905*w - 7027. Determine y(-8).\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 6 + n**2 + 3 + 8*n + 6 + 9*n. Let g be r(-17). Let m = -1515 + 4588\/3. Which is smaller: m or g?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -5*n**3 - 23*n**2 + 14*n + 34. Give o(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -20, -29, -28, -11, 28, 95?\nAnswer: 196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4198974 + 3?\nAnswer: -4198971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6221783 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -11*n - 10. Let g(i) = -21*i - 19. Let l(b) = -6*g(b) + 11*v(b). Let y(p) = -3*p - 3. Give 5*l(m) + 8*y(m).\nAnswer: m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kmk when three letters picked without replacement from kmkepkzkrzzzkkkzm.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/8 + ((-9234)\/(-72) - -14) is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -d**3\/3 - 15*d**2\/2 - 42*d - 12. Let f be o(-11). Suppose 5*n = 3 + f. Calculate the remainder when 17 is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-136)\/(-306) + 128\/36. Which is the nearest to 0.7? (a) -1 (b) 11 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -12*q. Let y be m(1). Let o be 1\/(1\/26) - -1. Let b = o + y. Calculate the greatest common divisor of 135 and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/12)\/(369\/2952)*(-2 + 1465\/740)\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004503866 to 4 dps.\nAnswer: 0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**2 - 12*n - 8. Let p be 42\/(-12)*1*4\/(-1). Suppose -8*g + p = -6*g. What is the lowest common multiple of k(g) and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19803 rounded to the nearest 1000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -8 (b) 22\/9 (c) 2 (d) -0.2 (e) 2693 (f) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4518 by 753.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 27\/(-24) + (-4)\/(-32). What is the remainder when (-838)\/(-8) - -1*i\/(-4) is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 216*u - 109*u + 1810 - 103*u.\nAnswer: 4*u + 1810","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 182*q - 230163.\nAnswer: 182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 11*n - 524. Let j(r) = 4*r - 189. Let q(a) = -17*j(a) + 6*s(a). Give q(35).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23059013723 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -20334, -41440, -62546?\n\"Answer: -21106*v + 772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mommompozz. What is prob of picking 2 z and 2 o?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -817, -1668, -2613, -3652, -4785, -6012?\nAnswer: -7333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 155507 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 8*o**2 - 2*o - 1. Suppose -6*i + 12 = -9*i. What are the prime factors of q(i)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.392637 decades to millennia.\nAnswer: 0.02392637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.434867 rounded to 2 decimal places?\nAnswer: 23.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of 75*n**4\/4 - 10*n**3\/3 - 2*n - 227. Find the third derivative of s(b) wrt b.\nAnswer: 450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 h, and 1 r when three letters picked without replacement from {r: 1, s: 4, h: 8}.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 109883 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d**2 - 9*d. Suppose -4*m = -3*a + 245 + 139, -2*a - m + 267 = 0. Let r(j) = -132*j + j**2 + a*j. Determine r(p(v)).\nAnswer: 9*v**4 - 54*v**3 + 81*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = -2*f + 32. Suppose 2*z - 39 = 5*q, 5*q + 8 + f = 5*z. What is the remainder when 22 is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q. Suppose 4*y + f + f - 52 = 0, 0 = -4*y + 3*f + 42. Let j(a) = -5*a + y*a + 13*a. Calculate s(j(c)).\nAnswer: -40*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14112 and 21952.\nAnswer: 197568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 2*x**2 - 3*x + 2. Suppose 0 = -2*l - 0 - 6. Let v be o(l). Differentiate -1 - 2*p + 2*p + 2*p**v wrt p.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 111\/4 + -50. Suppose 3*p = -2*p + 15. Calculate the common denominator of p\/6*(-116)\/18 and z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -4.4. Let t = 4 + 1. Which is the nearest to -1? (a) t (b) s (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 126, 52, -72, -246, -470, -744?\n\"Answer: -25*u**2 + u + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.643896993 minus -0.1?\nAnswer: -8.543896993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1497*v - 1501*v - 31 = -5*j, -4*v + 2*j - 22 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.03 - 0.03. Let i = -2.9 + w. Are i and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -10. Suppose 2*n - n = 35. Suppose -n = -7*r + 2*r - 4*c, 25 = 5*c. Solve 9 = -r*d - 3*i, -d + s = 5*i - 1 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 27 + 18 = 0. List the prime factors of 2 + 205 + (3 - i - 1).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = 2*g + 10. Suppose 0 = -x, -n - n - g = 4*x. Let w = n - -33. Is w a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1027 - -2009. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14310.\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 9:11 PM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -1 (c) 52.805\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 0.0763\nAnswer: -0.0763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5*(-16)\/((-4480)\/(-24)). Find q, given that k*q + 6\/7*q**2 - 9\/7 = 0.\nAnswer: -3\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 7. Find the third derivative of 4*y**6 - y**6 + 2*y**2 - q*y**2 + y**6 wrt y.\nAnswer: 480*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 253799131?\nAnswer: 19, 173, 77213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 19*h**2 + 14*h + 27. Let k(d) = -d - 1. Let a(z) = g(z) - k(z). Let f be a(20). Let n = f - -15. What is n rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c**3 + 3*c**2 + 3*c. Let m(o) be the first derivative of o**4\/4 + o**3\/3 - 280. Determine -5*m(w) + r(w).\nAnswer: -3*w**3 - 2*w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31140 - 59634 = 3277*c + 2296*c + 26259 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10.386 + -0.086. Let y = 9.9 - i. Which is the biggest value? (a) -3.1 (b) y (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1051638 and 2352?\nAnswer: 8413104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to 981\/12055?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (279 - 85) + -162 - 147*1\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 7 * -139399\nAnswer: -975793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 780.5236ml?\nAnswer: 0.7805236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*p**4 + 2*p**2 - 17*p**4 + 3 - 3*p**2 as m*p**3 + y*p + g*p**2 + t*p**4 + o and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of d**6\/12 - 3*d**5\/10 + d**4\/8 + d**3\/2 - d**2\/2 - 49. Factor w(s).\nAnswer: s*(s - 2)*(s - 1)**2*(s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v + 9. Let x be q(-7). Let m be ((-6)\/63*6)\/6 - (-128)\/462. Which is the nearest to 1\/2? (a) m (b) -3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of 13*g**4\/24 - 11*g**2. Let j(w) = -2*w**2. Calculate l(j(k)).\nAnswer: -26*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = -25, 5*i + 35 = 56*u - 58*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 296 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/3)\/(12\/(-45)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 228*k**2 - 96*k - 96. Let z(s) = 12*s**2 - 5*s - 5. Determine -5*j(x) + 96*z(x).\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 179\/47760 and -115\/14?\nAnswer: 334320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 626004.\nAnswer: 2, 3, 17389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*l + l - 2*l)*(-5 + 1 + 2)*(2 - 5 + 2)*(-l - 19*l - 7*l) to o*l**2 + d*l + u and give o.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 w, and 1 f when three letters picked without replacement from {v: 1, a: 7, x: 8, f: 2, w: 2}?\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -4, 2\/225, 13 in decreasing order.\nAnswer: 13, 7, 2\/225, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1433*o**2*w**2 + 3*o**2*w + 51*o**2 - 5*o - 2 wrt w?\nAnswer: 2866*o**2*w + 3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -18, 5, -27 in decreasing order.\nAnswer: 5, -13, -18, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (-4 + 7) - 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*v + 19*v - 12. Let b be (-78)\/(-5) - (-4)\/10. Solve 0 = -0*u + v*u + b for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7b + 2?\nAnswer: 7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 2, 0, -6, -1, 18.\nAnswer: -20, -6, -1, 0, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*h**3*x**3 + h**3*x**2 + 2*h**3 - 79928*h**2*x**3 - 25*h**2*x + 2*x**3 - 33 wrt x.\nAnswer: -12*h**3 - 479568*h**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -1. Let v = l + 2. Suppose 7*a - 10 = v*a. Solve 1 = a*x - 3 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 8*d**2 + 7*d - 1. Let h be r(-7). Let o = 3347\/15 + -223. Is o less than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-257 - 45 + 43)*(15*b - 9*b - 5*b) as m + t*b and give t.\nAnswer: -259","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -164a0?\nAnswer: -164a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16141085.\nAnswer: 5, 41, 78737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4935823 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16\/(-9) + 2\/(-9). Let s = -59.7 + 59.5. Let m = 1.11 - 0.21. Which is the closest to m? (a) s (b) -5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -8*n + 65. Suppose -w = 56*m - 61*m + 32, m = w + 8. What is b(m)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 348 and 1566116?\nAnswer: 4698348","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -2*d, 3*d - 4*l = -17 + 7 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k - 32. Let n(b) = -b - 40. Let r(d) = 5*m(d) - 4*n(d). Let s(t) = -2*t**3 + 4*t - 9. Determine -5*r(v) - s(v).\nAnswer: 2*v**3 + v + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -985 or -987?\nAnswer: -985","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 7:09 AM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 562 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 6*c - 2*c)*(2*c + 9*c + 6*c).\nAnswer: 34*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -126 divided by 42\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + 6*q + 2. Let z = -49 + 49. Suppose z = 14*m - 11*m - 78. What is the remainder when m is divided by j(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 5*x + 281, -9 = 4*x + 11. Let l = 160 - v. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(77) + (sqrt(77) - (sqrt(77) - (-2*sqrt(77) + sqrt(77)))*-1)))\/(6*sqrt(84)\/sqrt(48)).\nAnswer: -16*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(108) + -1*sqrt(108) + sqrt(12) + (sqrt(12) - (sqrt(12) + 1*sqrt(768))))\/((sqrt(16)\/sqrt(4) + sqrt(4))*5 - sqrt(16)*-2) + 2).\nAnswer: -3*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -29\/2082?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/4 - 54445*f\/4 - 13611.\nAnswer: -(f + 1)*(f + 54444)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 470 and 25117270?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -1\/2, 5\/3, 4\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*m**2 + 9*m**2 - 11*m + 8*m**2 - 23*m**2.\nAnswer: 4*m**2 - 11*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 2*r + 20, -4*r - 11150 = 5*j. Let c be 0 + 951\/j*-6. Let g = 8\/53 + c. What is the common denominator of -37\/6 and g?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6933 * -7\nAnswer: 4.8531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*y - 393*y + 16951 + 23400 = 3166 for y.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*f - 0*f. Let i(j) be the first derivative of -1\/4*j**4 - 5\/6*j**2 - 1\/3*j - 7\/9*j**3 - f. Factor i(s).\nAnswer: -(s + 1)**2*(3*s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3243*h**4 + 273*h**2 - 2*h + 2 wrt h.\nAnswer: 77832*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -886, -867, -844, -817, -786?\nAnswer: -751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*x - 126067 = -6*t + 85*x, 3 = -3*x. What are the prime factors of t?\nAnswer: 2, 3, 17, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by 29.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -258 divided by -1?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1385 and 0.02.\nAnswer: 27.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -6. Suppose 5*r = 7 + 3. Which is the nearest to r? (a) j (b) -0.4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29580?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39 + 35. Let g be 3 + x\/(-6)*-3 - 2. Let y be (g - -2) + (-6 - -4). Is y > -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 9:40 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 8:16 PM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -2 (c) 8.51914\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 0.028, 2\/17, 39, -4.28, 1\/6?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -10*q**2 - 2*q + 2. Let p(n) = -n**2. Let m(j) = -d(j) - p(j). Is m(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/57 + (-59)\/(-19). Suppose -2*g = -4*c, 0 = -v*g + c + 4*c + 1. Solve 3*f = 4*a - 4, 0*a = -g*f + a - 1 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + 7*r + 3. Let w be b(-7). Let n = -2 + w. Suppose -4*q = -7 - n. Solve q*f + 2 = -4 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 4*f**2. Let t(m) = -2*m**2. Let o(i) = 4*q(i) + 7*t(i). Let x(c) = -c**2 + c + 1. Let r(l) = -l - 1. Let a(s) = r(s) + x(s). Determine o(a(u)).\nAnswer: 2*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/15 - 64*(-10)\/30. Let i = 9 + -4. Let k = i + 6. What is the highest common divisor of l and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1713.\nAnswer: 3, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -7*p - 4. Let v be r(-3). Let a(t) = -t + 17. Let m be a(v). Solve 2*b + m - 2 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -4 (c) -0.04 (d) -0.11 (e) 1\/2 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 4*p + 2048 = 0, 2*p = w + 3*w - 2694. Does 13 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -42 + 198 - 47*g - 90. List the prime factors of y(-5).\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaoofaoa. Give prob of sequence oo.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 379 divided by -30\nAnswer: -379\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 36 = 4*t. Suppose t*k = 8*k. Suppose k*g**2 + 1\/4*g**4 + 1\/2*g - 1\/4 - 1\/2*g**3 = 0. Calculate g.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 59250*r**3 - r**2 + 3*r - 2. Suppose -6 = 3*n - 3*i, -5*i = -10*i + 20. Let z be a(n). Round z to the nearest 10000.\nAnswer: 470000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 7 + 2*p**3 - 5*p - p**3 - 15 + p**2 - 4 to a*p**2 + c*p**3 + y + d*p and give y.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -16*y + 39. Let c(n) = 5*n - 12. Let t(d) = 13*c(d) + 4*r(d). Let u(b) = -11*b. Give 6*t(q) + u(q).\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 q, and 1 i when three letters picked without replacement from {i: 3, q: 6, r: 2, l: 2, j: 1, c: 6}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-2064)\/25542*11\/(-24)\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 370.0529t?\nAnswer: 370052900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f + 3*f - 13203. Suppose 3*m - 3*d = f, -5*m + d = -5752 - 1599. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 79, 81, 85, 91?\n\"Answer: t**2 - t + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30 * -0.04.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 734872 and 22892.\nAnswer: 43357448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 0 + sqrt(243)*-3 + 3 + -5 + (sqrt(75))**2 + 0 + sqrt(3) + sqrt(3) + sqrt(3) + -2.\nAnswer: -24*sqrt(3) + 71","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - 5\/(8 - 3). Suppose -c*y = -1 - 3. Let u be 82\/7 + y - (-8)\/28. Solve -4*v - 4 = l + 3, 3*l = -5*v - u for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -148 + 1006. Does 36 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2448127\/170 - -14401. Calculate the common denominator of -43\/85 and d.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 2. Let v(m) = -m**2 - 1. Let d(q) = -t(q) + 2*v(q). Let c(o) = -o**2. Suppose a + 1 = 3. Determine a*c(i) - 4*d(i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 3124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 a factor of 80333669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2 + 236*c + 3120.\nAnswer: -2*(c - 130)*(c + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4843 = -8*x + 11*x - p, -6452 = -4*x - 4*p. Let r = x + -734. List the prime factors of r.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1967?\nAnswer: 7, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (25\/(-15))\/(42\/45 + (-3)\/5). Let j(x) = -2*x**2 + 2*x - 4. Let m(k) = -1. Let b be 4\/18 + 7\/9. Determine b*j(w) + h*m(w).\nAnswer: -2*w**2 + 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -214, 0.2, 0.5 in increasing order.\nAnswer: -214, 0.2, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30.02 + 29.62. Which is the second smallest value? (a) z (b) -2\/9 (c) 3 (d) 4\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of 295*v**4\/12 + 2*v. Let y be q(1). Suppose -2*c = 3*c - y. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -119, -57, 3, 61?\n\"Answer: -q**2 + 65*q - 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 288 = 3*c, 47*a - 45*a = -6. Calculate the remainder when 472 is divided by c.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 - 3. Let d(i) = 3*i. Suppose -3*x = 4*f + 4, -x + 0 = 2*f + 4. Let n(j) = -16*j. Determine c*d(m) + x*n(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 4*x**2 + 7*x - 7. Let z(k) = k**2 + 1. Let w be z(2). Let u be f(w). Let o be -6*(4\/u + -2). Solve -3 = 3*n - o*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13130 is divided by 3272?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-31)\/(((-81)\/135)\/((-27)\/45))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llbbbylyyyb. What is prob of sequence by?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, y: 2, e: 3, d: 5, n: 7, s: 2}. What is prob of picking 2 e and 2 a?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60*w - 54*w - 195 - 5*w)*(-7*w + 3*w - 2*w).\nAnswer: -6*w**2 + 1170*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 158*v**6 + 8*v**5 + 3*v**2 - 33*v - 65 wrt v?\nAnswer: 18960*v**3 + 480*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 104, 210, 318, 428, 540?\n\"Answer: h**2 + 103*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 397946483 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of -3*y**2 + 0*y**4 + 0*y + 1\/20*y**5 + 0 + 0*y**3. Let n(x) = 113 - 113 - 10*x**2. Determine n(v(l)).\nAnswer: -90*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/7 or 1\/196?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 177880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -120.89 - 0.1\nAnswer: -120.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 87638*v**6 - 4*v**5 + 2*v**3 - 142170*v**2 + 8*v - 2 wrt v.\nAnswer: 10516560*v**3 - 240*v**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 1320406*i**2 - 9*i + 43. Suppose -14 = 43*f - 41*f. Let x be c(f). Round x to the nearest one million.\nAnswer: 65000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -12*z**3 - 155*z**2 + 20*z + 57. What is d(-13)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, j: 4, b: 4, f: 5}. What is prob of picking 2 j?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/108581 and -93\/110?\nAnswer: 1085810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of 11*u**6\/15 - 2*u**4\/3 - u**2 - 3*u. Let g(t) = -9*t**4 + 3*t**2 + 1. Let j(d) = 12*g(d) + 5*w(d). Factor j(c).\nAnswer: 2*(c - 1)**2*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(72) + -3 + -2)**2*-2*5.\nAnswer: -1360 + 960*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t - 6*t + 9*t - 5*t = 3*l + 22, -2*t = -l - 10 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -28\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d + 5. Let s be z(4). Let t = -6 + 8. Let o(l) = t*l + l - 4 - 5*l. Let v(x) = -1. What is s*o(b) - 4*v(b)?\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25888.\nAnswer: 2, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 2. Let h be x(-2). List the prime factors of (-6)\/(-2) + 0 + h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -815237 - 19*t**2 - 815231 + 2445701 - 815233.\nAnswer: -19*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((5 + 2 + (sqrt(1700) + -1)*-5)*5)**2 + 3 + -5.\nAnswer: -180000*sqrt(17) + 6396598","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiv when three letters picked without replacement from {i: 3, k: 2, x: 2, v: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 1183*y + 15371. Give v(-13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g**4*z + 6*g**2*r - 6*g*z - 183*r*z wrt g.\nAnswer: -4*g**3*z + 12*g*r - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 6489.58+-4.4\nAnswer: 6485.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 248543649?\nAnswer: 3, 27615961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1639 + -878. Suppose 0*z = z - u - x, u - 751 = -z. Suppose 11*o - z = 4*o. Does 24 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jca when three letters picked without replacement from {j: 4, c: 1, a: 6}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -271983 rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(1\/21))\/(j*(j*j*j**(-21))\/j))**(-36) assuming j is positive.\nAnswer: j**(-5052\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -4*x - 112. Let o be k(-22). Calculate the remainder when 42 is divided by 3 - 12*(-4)\/o*-4.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 16*b**2 + 19. What is the tens digit of q(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 128 - 124. Put -4, m, 5 in decreasing order.\nAnswer: 5, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - (-1 + -2)) + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 3*k - 25. Suppose -k*v + 8 = -12. Suppose -4*u = -v*p + 636, 4*u = -4*p + 772 - 168. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/(-16))\/(2\/24). Let i be k\/(-12) - (-5)\/28. Let l be (-4 + 3)\/(1 - 0). Is l != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1533 rounded to 2 dps?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 17684.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 20. Let x = -10 - a. Let u(n) be the first derivative of -n**2 + 1. What is u(x)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 5*o**2 + 21*o - 2. Let p(a) = -6*a**2 - 23*a + 2. Let d(q) = -4*p(q) - 5*t(q). Let r be d(-13). Solve -r*h - 3 = 1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3826711 is divided by 643?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n*n*((n*n*n*n**(1\/21)\/n*n)\/n)\/n*n*n)\/n*n)\/n**0)**(5\/7) assuming n is positive.\nAnswer: n**(635\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 8 = 3*t - 6*t, -5*t - 5*b + 10 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3*m**2. Let u(x) = 4415*x. Calculate q(u(h)).\nAnswer: -58476675*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120 (base 5) to base 7.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 35 + (0 - -1)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 51069550 and 1459130.\nAnswer: 51069550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -288 (base 11) to base 14\nAnswer: -1a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g - 8*g + 7*g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 557*u + 298*u + 240*u + 363*u + 767*u as w*u + h and give w.\nAnswer: 2225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1729 - -1728.293. What is r rounded to two decimal places?\nAnswer: -0.71","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*y + y. Suppose -23*d + c + 45 = -18*d, 2*d + 4*c = -4. Solve -5*z + d*z = -m - 10, -24 = -y*m + 5*z for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -42\/3684689 and -145\/534?\nAnswer: 22108134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*v - 187. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-1*(-2 + 2*sqrt(242)))**2.\nAnswer: -792*sqrt(2) + 8748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of 2*n**5\/25 - 2*n**4\/5 + 4*n**3\/15 + 4*n**2\/5 - 6*n\/5 + 3. Factor d(o).\nAnswer: 2*(o - 3)*(o - 1)**2*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 7*l**2 - 4*l - 3. Let y be a(-7). Suppose -4*k + y = -2*v - v, k + v - 1 = 0. What is the units digit of 14\/(-8)*-1*k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 5*u - 1336 + 1349 = 0, 2*b + 8 = 5*u. Let w(p) = -p**2 - 4*p + 3. Determine w(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 + -22. Let i(t) = 5476*t**2 + t - 6. Let h be i(q). Round h to the nearest one thousand.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -72.99 to the nearest integer.\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/5318500 and 55\/12.\nAnswer: 15955500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/782 and -31\/54794.\nAnswer: 21424454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 n when two letters picked without replacement from wyyyyyynynyynyyy?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 227 and 4?\nAnswer: 908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10676.\nAnswer: 2, 17, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 + 32*f + 900. Let d be l(-18). Sort d, 4, -267 in descending order.\nAnswer: 4, d, -267","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from wfwfqyafkqfw.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/(-72)*18*-4\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1123 = -5*n + 5*g + 3043, -4*g + 774 = 2*n. Let q = -255 + n. Suppose 4*k - q = -6*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/(-9)*531\/(-1770). Let o = -24 - -29. Which is the nearest to 1\/6? (a) g (b) o (c) 4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence utk when three letters picked without replacement from {t: 5, h: 2, u: 5, k: 3, f: 1, w: 4}.\nAnswer: 5\/456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a + 2. Let w(h) = -22*h - 56. Give 2*p(d) + w(d).\nAnswer: -18*d - 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 21398371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 51, -3, 0 in decreasing order.\nAnswer: 51, 4, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1454 and 1627753.\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3284 - 36148\/11. Let n = 142\/55 + z. Find f, given that -2\/5*f**3 + 2\/5*f + 2\/5*f**4 + 0 - n*f**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, -62, -203, -400, -653, -962?\nAnswer: -1327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 w when two letters picked without replacement from {c: 1, w: 1, a: 1, i: 1, s: 1, y: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -10035899?\nAnswer: -10035897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 133*a**3 + 11*a**2 - 15. Let o(m) = -135*m**3 - 10*m**2 + 15. Let l(d) = -6*c(d) - 7*o(d). Find the third derivative of l(v) wrt v.\nAnswer: 882","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**2 + 32*n + 10. Let s be -18 + (1 - 2)*8\/2. List the prime factors of d(s).\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187473.\nAnswer: 3, 11, 13, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of 4*m**6\/15 - 7*m**3\/6 + 5*m - 5. Let j(q) be the first derivative of r(q). What is the second derivative of j(w) wrt w?\nAnswer: 96*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19512*m + 19450*m - 1488 for m.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 344\/99 + -15\/11. What is the common denominator of -49 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -470*q - 9397. Give p(-20).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 198832640?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/2)*n*n*n*n\/(n*n*n**(2\/7)\/n*n))**(-15) assuming n is positive.\nAnswer: n**(-465\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14800)\/(-60)*(-42)\/(-140)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1071 and 12047.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 11 = 3*t, -3*u + 1 + 8 = -2*t. Solve -2 + 2*y**2 - u*y + 4*y + y = 0 for y.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*d**4*p**2 + 198025*d**3*p**3 + 6*d**2*p**3 + 162*d**2*p**2 + d**2*p - 137*p**2 wrt d?\nAnswer: -264*d*p**2 + 1188150*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7298 and 541282.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.05 > -8.9728?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 8 - 11)*(8*z - 8*z - 6*z) + 0*z + 3*z - 5*z.\nAnswer: 58*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + 1)\/(4\/(-12)). Solve t + m*n = 6*n - 13, 4*t + 28 = 4*n for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 1866972783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 233 - 3493\/15. Let s(p) be the first derivative of 1 - w*p**3 - 2\/5*p**2 - 2\/5*p. Factor s(h).\nAnswer: -2*(h + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 336 = 13*g. Solve 8*c = 12*c + g for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61204259 to the nearest integer?\nAnswer: 7823","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 2*u - 55. Let y be c(-9). Solve -6*p + 4*p - y = 0, 0 = -5*f - 4*p - 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5886 divided by -24\nAnswer: 981\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13 and 4.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 100 and 1600.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10526 and 2770.\nAnswer: 52630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2573 + 49b?\nAnswer: -20b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 10*r**3 + r**2 - 1. Suppose 3*y + 2 = 4*y. Suppose u - 14 = y*t + 30, 72 = -3*t + 3*u. Let i be 3\/2*t\/(-30). Calculate s(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -x**5 + 30612*x**4 + 7*x**3 + 1886370*x**2 wrt x?\nAnswer: -60*x**2 + 734688*x + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 - 21. Suppose h + 0*p - i = p, -3*h + 46 = p. What is the highest common factor of 35 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4, 1\/7, 107, -1\/3, -1, 0.11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2103885487 to the nearest integer?\nAnswer: 1281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -w**2\/7 - 6232*w\/7 - 9709456\/7 = 0.\nAnswer: -3116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 532510?\nAnswer: 2, 5, 11, 47, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 6*q**2 + 4*q - 5. Determine n(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 255 + -242. Suppose j*k - 6*k = -21. Let p(t) = 4*t**3 - 2*t**3 - 2*t + 0*t**3 - 4 - 4*t**2 - 3*t**3. Calculate p(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 410 and 594436860?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3786?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1195 divided by -2354.\nAnswer: 1195\/2354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5840516.\nAnswer: 2, 11, 132739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 104322 (base 5) to base 9\nAnswer: 5074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -69*r + 1988. Calculate l(59).\nAnswer: -2083","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5119747 and 1537?\nAnswer: 1537","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2244 + -0.1056. Which is the second smallest value? (a) p (b) 1\/4 (c) -0.5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*z + 17*z - 99 = 0. Solve -z*c = 17 - 8 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201 = -200*d + 203*d. Let i = d + 129. What is the remainder when i is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 72 = -g. Suppose 14*i - 9*i + g = 0. Let h = 20 + i. Let y(l) = l**2 - 4*l - 7. What is y(h)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 688.2633 months to years.\nAnswer: 57.355275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of m**5\/20 + 5*m**4\/4 - m**3\/6 - 11*m**2\/2 + 22*m. Let f be b(-15). Suppose -8*h = -f*h - 132. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (578*d + 37151 - 37151 + d + 0*d + d + (-1 - 1 + 0)*(-2*d + 3*d + d) - d + 0 + 0 + 3*d - d - d)*(3 + 3 - 5)*(-1 - 1 + 3) in the form u + l*d and give l.\nAnswer: 576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3892, -7431, -10588, -13357, -15732?\n\"Answer: v**3 + 185*v**2 - 4101*v + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 d when two letters picked without replacement from phjdjdlljjjlqjlph?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 36.96787 + 18870581\nAnswer: 18870617.96787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -202, -12, 4, -2, -1, 2 in ascending order.\nAnswer: -202, -12, -2, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1267 smaller than -1265?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -128 + 52 + 214 - 98.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d = 4*d + 422 - 722. Solve 4*u - 8 = -2*w, 4*u - 4*w - d = 3*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u - 2. Let w be c(-2). Let m(q) be the first derivative of 1\/2*q**2 - q - 1\/3*q**3 - 2. Determine m(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.758556 and -0.11?\nAnswer: -0.19344116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 2:05 AM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 10. Let g(l) = -4*l**2 + 3*l + 2. Let z(q) = 5*q**2 - 4*q - 3. Let n(s) = c*z(s) + 4*g(s). What is the derivative of n(p) wrt p?\nAnswer: -2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 579009 + -1?\nAnswer: 579008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -26 - g + 26. Let j be p(0). Solve 6*u - 2*u = j for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -9*t**2 - 6*t - 4. Let y(h) = -8*h**2 - 7*h - 5. Let z(u) = -4*a(u) + 3*y(u). Is z(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11337 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -526434 (base 8) to base 12.\nAnswer: -855b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -20*y**3 + 3*y**2 + 3*y. Let x be o(4). What is x rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.161, -0.3, 0.4, 23732?\nAnswer: 23732","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + x - 2. Let v(t) = 6*t**2 - 10*t + 3. Let m(i) = -5*p(i) - v(i). Give m(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 465 - 1255 - 2*n - n**4 + 3*n**2 + 0*n - 95 + n as g*n**3 + h*n + a + i*n**2 + u*n**4 and give a.\nAnswer: -885","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -75, -104, -127, -144?\nAnswer: -155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*3 - ((-5)\/(-15) + -4). Is 16 at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1580.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 1:37 AM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1658220 * 4.7.\nAnswer: 7793634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -2 (c) 6\/11 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -0.5, -0.07, 0.6, -5?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 11656992 to the nearest one hundred thousand.\nAnswer: 11700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5871? (a) 1 (b) -3 (c) -19\/6 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 x when three letters picked without replacement from {x: 4, i: 3, d: 9}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/3, -3, -888\/5, 18, 1, 0 in increasing order.\nAnswer: -888\/5, -3, 0, 1, 5\/3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -50 + 182 + 277*d**2 - d**4 - 242*d**2 with respect to d.\nAnswer: -4*d**3 + 70*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39643\/6726 - 37\/354. Let d = -94\/95 + s. Factor d*f**2 - 22\/5*f + 4\/5 + 18\/5*f**3.\nAnswer: 2*(f + 2)*(3*f - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5391627934 to the nearest integer?\nAnswer: 73428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u - 3. Let r(w) = -39 + 5*w - 13 - 17. Let j be r(13). Let q be 6\/j + (-1)\/(-2) - -1. Give t(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (7 + 152\/40 - 9)*13660\/6.\nAnswer: 2, 3, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -87.046653 rounded to 1 dp?\nAnswer: -87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 2 j, and 1 k when four letters picked without replacement from {j: 6, x: 1, k: 5, q: 4}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 3*l + 12 - 1, 5*k - 17 = 3*l for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -180 - -208. Suppose -5*h + p - 18 = 0. Suppose 2*q - 6 = -2. Calculate the greatest common factor of q and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67264648 to the power of 1\/3, to the nearest integer?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 8*g**2 - 6*g - 9. Give y(-5).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 6*z**2 + 26*z - 97. Let w be n(-7). Let v = -2 - -17. Is w bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 80 (b) 1\/7 (c) -354\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**3 - 6*j**2 + 40*j - 122. Let k be a(3). Put -10, 104, k in increasing order.\nAnswer: -10, k, 104","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1222923332 + -90.1.\nAnswer: 1222923241.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from {m: 2, v: 7}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -7. Let j be 6 + (-3 - p\/(-3)). What is the second derivative of -4*b**5 + 2*b**j + 4*b + 4*b**5 - b wrt b?\nAnswer: 40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10336*b**4 - 12016*b**2.\nAnswer: 248064*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of 6*x**3 - 181*x**2\/2 + 6*x. Is d(6) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02415706 minus 1474?\nAnswer: -1474.02415706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 13411000 to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q - 2. Let u be j(4). Let s(c) = -2 + 2 + u*c**2. Let o(i) = -i - 1. Let r(h) = -2*h - 1. Let k(p) = 2*o(p) - 2*r(p). Determine s(k(n)).\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25ba (base 14) to base 7.\nAnswer: 25223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 274 - -14. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -2 + 16 + -25 + (1 - -8)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.24 + -0.14. Let s = -0.4 + n. Put -0.4, s, 0.2 in decreasing order.\nAnswer: 0.2, s, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 - l + 3*l - 33 + 69.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, 6, -5, -133, -3, 1 in descending order.\nAnswer: 6, 1, -3, -5, -49, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x + 10*x + 64 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (0 + (13 - 19))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 496*b**4 + 28*b**3 + 8318*b wrt b.\nAnswer: 5952*b**2 + 168*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 4*q + 93, 150*q = d + 303*q - 158*q - 108 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -17*d + 2. Suppose 4*i = -3 + 15. Let q be t(i). Let s = q - -82. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 22 and 9892\/423 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 75748266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -1071883 + 1071883 - 26*z**2. Let j(d) = -71*d**2 - 2. What is j(w(k))?\nAnswer: -47996*k**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 5*d = 5, -n - d + 3 - 6 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20268.\nAnswer: 2, 3, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -20*r - 127. Let i(t) = -20*t - 122. Let b(a) = 5*g(a) - 6*i(a). Is 23 a factor of b(17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-39)\/91 - ((-95)\/35)\/((-3)\/(-6)). Solve 0 = 5*s + 5*g - l, 7*g - 4 = -2*s + 6*g for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1011111001 (base 2) to base 12\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h**3\/5 - 573*h**2\/5 - 17808*h\/5 - 128772\/5 = 0. What is h?\nAnswer: -14, 219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4452983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - 36)*(5 + -7)\/2. Let b = -73 + x. Calculate the common denominator of (6\/b)\/((-1)\/(-116)) and -80\/33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 198, 622, 1328, 2316, 3586, 5138, 6972?\n\"Answer: 141*y**2 + y + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -316, -1273, -2762, -4783, -7336?\n\"Answer: -266*s**2 - 159*s + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -313, -943, -1887, -3133, -4669, -6483, -8563?\nAnswer: -10897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-11 + -52)\/(-9) + -3. Let b = 7.222 + -0.022. Let v = -7 + b. Which is smaller: f or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -63 - -59. Let j = 4 - 3. Let r(g) = g**3 - 7*g**2 + 7*g - 2. Let w be r(6). Sort f, j, w in descending order.\nAnswer: w, j, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -9. Suppose -5*x = -2*v + 2, -3*x = -m*v - v. Calculate the remainder when ((-1155)\/5)\/7*(-1)\/3 is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*o - 155*o + 40 = -83*o for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 780.8*-2903\nAnswer: -2266662.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1265 a factor of 154977742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2257, 0, -4 in decreasing order.\nAnswer: 2257, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6.975505 and 13.\nAnswer: -90.681565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 12\/53 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/(-9))\/(12\/36).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 b when three letters picked without replacement from nrrrjrjrbnnjnr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/314 + -4003\/157. Find the common denominator of n and 3*2\/16 - (-1235)\/(-40).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.998 + 0.002. Which is the fourth smallest value? (a) -0.4 (b) t (c) 2\/7 (d) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 138 = -0*c. Let m(g) = -91*g**3 + g**2. Let l be m(-1). Calculate the highest common factor of c and l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -564\/11 or 1?\nAnswer: -564\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2927?\nAnswer: 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b, -5*a = 2*b - 6 - 19. What is the second derivative of -85*n - 31*n - 268*n**a + 162*n**5 wrt n?\nAnswer: -2120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9390 and 990?\nAnswer: 309870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -9*o + 5*o, 2*o = 2*x. Suppose -5*i + 22 = 3*s, -4*i + 0*s = 4*s - 16. Suppose 4*z = 3 + i. Solve j + x*j = -z for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l + 3*l + 6*l + (-2 + 0 + 0)*(-2*l + 5*l - 6*l) + 2*l - l - 2*l.\nAnswer: 11*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.067600054 rounded to three dps?\nAnswer: -0.068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 149*p**2 + 250*p + 14998. Calculate m(-148).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/250 and 81\/14.\nAnswer: 1750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) - 5*sqrt(99)*1)\/sqrt(9) - (3 + sqrt(176) - sqrt(11))*-1)**2.\nAnswer: -6*sqrt(11) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/24*-2*66.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(168))\/((sqrt(72) - 1*sqrt(72) - sqrt(72) - sqrt(72))\/sqrt(12)) + -1.\nAnswer: -sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196*b + 4*b - 547 - 192 = -139 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 6122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 12 = -3*d - 5*y, 4*d + 2*y + 30 = 0. Let t(n) = -n**3 - 9*n**2 + 9*n + 7. Calculate t(d).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3\/4 + -1\/4. Suppose 0*l + s*l**2 + 0 - 1\/2*l**3 = 0. What is l?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*x - 52 = -115*x. Let p(y) = -2*y**2 - 105*y - 46. Let b be p(x). Solve b*o + o + 14 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*m*y - 101445*m - 83*y - 156 wrt m?\nAnswer: 2*y - 101445","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.17 + -1.17. Let g = 3 + -3. What is the third biggest value in g, k, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -75, -29, 91, 279, 529, 835, 1191, 1591?\n\"Answer: -s**3 + 43*s**2 - 76*s - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(0 + -5 + ((sqrt(66) - (sqrt(66) + sqrt(66)*-2 + sqrt(66))*1)\/(sqrt(300)\/sqrt(2)))**2).\nAnswer: 456\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5178924 * -0.2\nAnswer: 1035784.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 684552.9 kilometers in meters?\nAnswer: 684552900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 60577, 59701, 58823, 57943, 57061, 56177?\n\"Answer: -o**2 - 873*o + 61451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73570, 73549, 73528?\nAnswer: 73507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, -28, -0.4, 5\/2, -2.5 in decreasing order.\nAnswer: 5\/2, 1, -0.4, -2.5, -5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -35*t + 31*t, -3*t - 43 = 7*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-4\/11)\/(l*l**(-2)\/l)*((l*l*l**0)\/l)**(-26\/9))\/(((l\/l**7)\/l**(-9))\/(l**(-1\/2)*l**(2\/19)\/l)) assuming l is positive.\nAnswer: l**(-21245\/3762)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-30) + 104\/330. Let t(l) = -2*l + 1 + 0 - 17. Let j be t(-7). What is the smallest value in -5, r, j?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 10762186*t. Let m(r) = -12*r**2. Calculate b(m(u)).\nAnswer: -129146232*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1725378976?\nAnswer: 2, 53918093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 474*o = 536*o - 744. What is the remainder when (84\/15)\/1*5 is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1625 and 559?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1578, -1830, -2082, -2334, -2586, -2838?\nAnswer: -3090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**5)\/h*(h\/h**(-3\/2))\/h*h**(2\/23)\/((h**(1\/6)\/h)\/h) assuming h is positive.\nAnswer: h**(581\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 14875 divided by 5\nAnswer: 2975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3ba008a (base 12) to base 7.\nAnswer: -203112241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 0.0107, 5, 1\/21, -7\/2?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q**3 + q**2 + 15*q + 23. Let z be f(-4). Suppose z*p = 104*p. Solve -4*t = 4*x - 6 - 10, 5*x - 3*t + 12 = p for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(121) + -2*sqrt(121) + sqrt(121)) + (sqrt(121)*2 - sqrt(121))*5)\/(-4*(sqrt(11) - -2*sqrt(1584) - sqrt(11))).\nAnswer: -5*sqrt(11)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2577370 a multiple of 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -47?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4754 + 4754. Sort 8, -2, n, -5 in decreasing order.\nAnswer: 8, n, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0124 - -0.012396498. Round a to 7 decimal places.\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -5 - 3*l + 14*l + 2 + 5. Let g be s(0). Solve -3*o + 4*i + 11 = 2*i, 0 = -g*o - 4*i + 2 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17551 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99809 is divided by 33261?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -49 + 553?\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2)*(65*v - 130*v - 55*v) + (-6 + 3 + 4)*(2*v + 2*v - 2*v) - 9 - 4*v + 9.\nAnswer: -242*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**3)\/((h*h**(-1\/6))\/h))**41\/(h*h\/(h*(h**(2\/11)*h)\/h)*h\/h**2)**(-3\/26) assuming h is positive.\nAnswer: h**(-64511\/858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q - 1. Let d(u) = -4*u**2 + 32*u - 32. Suppose -6 = -4*y - 2*w, -y = -0*y - w - 6. Give y*d(p) - 96*t(p).\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l + 3248 = -21*l. What is l rounded to the nearest ten?\nAnswer: -410","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -900, -901, -902?\nAnswer: -903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4427 and 950?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 4*v**2 + 6*v + 7. Let u(l) = l**2 - 8*l + 6. Let w be u(4). Let m(y) = -y**2 - y - 1. Let s(z) = w*m(z) - 2*x(z). Factor s(k).\nAnswer: 2*(k - 2)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26442416 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -5*f - 2, -2*f - 51 + 53 = 4*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -6. Let i be (-2)\/7 - (-345)\/(-42). Let f = i + 115\/14. Are f and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7423*i + 7115 - 17428*i + 7115 - 14230 in the form u + t*i and give t.\nAnswer: -24851","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 2*o + o)*(0*o + 2*o - 5*o).\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 169351059?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 - -14. Let z(r) be the first derivative of 3*r**2 - 3*r + 2. Let l be z(1). What is the nearest to 0 in g, l, -4\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29.0552056 + 29.1652. Let y = -0.11 + k. Round y to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, p: 2, q: 10}. What is prob of picking 3 q?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9520 is divided by 561.\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -190 - -189.6. Which is the nearest to 2\/3? (a) 0.07 (b) 5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 u, 1 i, and 1 z when four letters picked without replacement from {z: 1, u: 4, a: 2, i: 1, x: 3}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 21 - 9 = 0. Let v(f) = 2*f**3 - 6*f**2 - 56*f + 283. Calculate the remainder when v(5) is divided by u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/g**(-9)*g*((g\/(g\/(((g**13\/g)\/g*g)\/g*g)*g))\/g)\/g*g**(-5)*g**(-22) assuming g is positive.\nAnswer: g**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2637 - 2637. Let p(w) be the third derivative of 0*w + 5*w**2 + q*w**3 + 0 + 1\/96*w**4 + 1\/240*w**6 - 1\/96*w**5 - 1\/1680*w**7. Factor p(g).\nAnswer: -g*(g - 2)*(g - 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -86*d**2 + 1043*d - 35. Determine f(12).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191*f + 57 = 202*f + 2. Solve 3*d - 11 = 2*y, -35 + 42 = -3*y - f*d for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 3*i + 7. Let g be n(5). Let r = 9.5 + -11. Let f = 1.7 + r. Is g less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 - 6*n - 5. Let p(v) = -v**2 + 11*v + 9. Suppose -727*l = -726*l - 7. Determine l*c(q) + 4*p(q).\nAnswer: 3*q**2 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.5 + -0.5. Let x = t - -1. Let o = -39 + 39.3. What is the nearest to x in o, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**3 + 2*g**3 - 4*g**3)*((g - g + g)*(0 - 2 - 2) + 0 + 0 + 2*g).\nAnswer: 2*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10648 and 2737867?\nAnswer: 1331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/586 and 109\/18.\nAnswer: 5274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9316 - 596125\/64. Calculate the common denominator of h and -139\/6.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.6 - -15.6. Let g = -387 + 403. Let r = v - g. Which is the closest to -0.4? (a) r (b) -2\/5 (c) -6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - 2) + 1 - -5. Suppose -3*n + v*n = -40. Does -7 = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 + 1 + 1)*(-2*y + 3*y - 2*y) + 23 - 8*y - 23)*(2*y**3 - 5*y**3 - 5*y**3) as n*y**2 + x + o*y**3 + r*y**4 + c*y and give r.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/10 and 103\/16236.\nAnswer: 81180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 5*m + 245 = 0. What are the prime factors of m?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 25527, 51048, 76569, 102090?\n\"Answer: 25521*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*f = 487 + 73. Put f, 3, 2, -3 in decreasing order.\nAnswer: f, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -31525 - -41403?\nAnswer: 6545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q**2 - q - 9. Let b(r) be the third derivative of -r**5\/20 - r**4\/12 - 7*r**3\/3 + 302*r**2. Give -5*b(l) + 8*y(l).\nAnswer: -l**2 + 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(1\/154) + (82 - 83). Let f = 171 + u. Calculate the greatest common divisor of 144 and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3481482262?\nAnswer: 2, 23, 569, 133013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 19665 divided by -59\nAnswer: -19665\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of 5\/3*z**3 + 15 + 25\/2*z**2 + 0*z. Suppose m(u) = 0. Calculate u.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 533537 to the power of 1\/3, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 + 28*k + 156. Suppose 26*c = 25*c - 5*i + 45, -c = -3*i - 21. Does 24 divide r(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - (-5 + 4)) + -17. Let a = n - -42. Let l = 18 - a. Let i(u) = -u**3 - 8*u**2 - 8*u - 5. Calculate i(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -3\/14 (c) 9 (d) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3*g + 17. Let c(y) = -y**3 - 5*y**2 + 6*y - 5. Let u be c(-6). Let k be r(u). Solve 4 + k = -2*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 8*z**2 - z + 8. Let o be t(8). Let u be 3\/(-6)*o\/(-2). Solve u*a = 3*a + 12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25034112 to the power of 1\/4, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14709 and 894.1.\nAnswer: -13151316.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 5*h = -50579 + 50542, 26 = 2*u + 4*h for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11927 = -6*b + 4*i + 3957, 8 = -4*i. What are the prime factors of b?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 825863779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 - -0.6. Let b = 73.8 - 90. Let g = b + 16. What is the closest to y in -2, g, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/m**(-2\/11)*m)\/m)\/m)\/(m\/(m\/(m*((m*m**4)\/m)\/m)))*(m\/(m\/(m\/m**(-2))))\/m**(1\/3))\/((m\/(m\/(m\/((m\/m**0)\/m)))*m)**37)**6 assuming m is positive.\nAnswer: m**(-14690\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*k + 8. What is the remainder when 1835 is divided by 3 + 40 + (k - 8)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5613 + 5622. Let n(l) = -l**3 + 8*l**2 + 11*l - 12. Let x(m) = 6*m - 3. Let a be x(2). Calculate the remainder when g is divided by n(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 321640733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - -2 - 3 - 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49 + 51. Solve -3*c + 3*i + 15 = -4*c, 0 = -o*c - 4*i - 20 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 4. Suppose 3*v = 116 - 569. Let p = 157 + v. Solve d = r + 2*o - 1, 0 = -3*o - 3 + p for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -19506 + 170?\nAnswer: -19386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - 11*h - 13. Let a be i(-9). Suppose a*d - 1143 = 282. Let q = d + -194. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) -49 (c) 5 (d) -2\/415\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 21*g**2 + 145*g - 263. Give k(10).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**2 + x + 2. Let w(u) = -2*u**2 + u + 2. Give -4*w(l) + 5*z(l).\nAnswer: -2*l**2 + l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -17*r + 131. Solve 0 = h - 3, s - 5*h + 29 = r for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**2 - 12*y - 9. Let x be k(7). Let i(q) be the third derivative of -q**5\/60 + q**4\/6 - 2*q**3\/3 + 2*q**2. Give i(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -p. Suppose p = k - 3*k. Suppose k = -4*z - x + 3159995, -3949980 = -3*z - 2*z - 4*x. Round z to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y - 1. Let a(q) = -14*q - 1 + 6 + 10*q. Give 6*a(n) + 30*o(n).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2157421 (base 9) to base 13.\nAnswer: -3180ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 8:41 AM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3*h = -103. Let c = h + -22. Let k be (-18)\/c + 43\/(-9). Is k < -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-20)\/12)\/((-1)\/3))\/(27*(-375)\/(-159975)).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 16 - 3)*(-2*y + 5*y - 9*y).\nAnswer: 204*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 14 = 9. Suppose 0 = 5*z + 5*g - 10, -5*z - x*g = -7*g - 10. Factor -6*d - 6*d**2 - d**2 + 9*d**z + 0*d**2.\nAnswer: 2*d*(d - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - (-2)\/12)*3\/1. What is the nearest to 2 in t, 3, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and 3152.\nAnswer: 3152.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 - 3*a + 1. Let w be x(-4). Suppose 12*k = -4 + 40. Let c(l) = 3 + 14*l**3 - 3*l - 16*l**3 + l**k - 3*l**2. What is c(w)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33695\/114270 + 6\/(-13)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/2)\/(12\/16). Suppose p + 3*x + 15 = 0, 14 = 2*p + 5*x + 42. Let s be (-21)\/(-98)*12\/p. Which is the second smallest value? (a) -7 (b) s (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17.3 - -17.3. Sort 0.5, -1.1, v, -1\/3 in ascending order.\nAnswer: -1.1, -1\/3, v, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/5399920 and 101\/630.\nAnswer: 340194960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 14111965\nAnswer: -4\/14111965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c + 1. Let z be q(-4). Let s(d) = d**3 + 3*d**2 - d. Let w be s(-3). Let i = z + w. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 9.707998 hours?\nAnswer: 34948792.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 9*z**2 + z + 12. Let n be t(-9). Suppose 889 = 4*a - 0*k - k, 0 = -5*a + n*k + 1120. What are the prime factors of a?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4734*b**3 + 9*b**2 + 2*b**2 - 11*b**2.\nAnswer: 4734*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 15*25*28\/(-420)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*w**3 - 730*w**2 + 835*w - 150 = 0. What is w?\nAnswer: 2\/9, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.05 - 2.25. Let w = -143\/6 - -31\/3. Let i = -193\/14 - w. What is the nearest to -0.1 in i, h, 2\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10615751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - -27. Solve 0 = 3*d + d - h for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**3 - 4973*i**2 + 6536520*i - 866843856 = 0. Calculate i.\nAnswer: 149, 2412","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 16*f**2 - f - 14. Let d be o(16). What is the units digit of 422 + d\/5 - 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 3 + 45. Let s be (6\/j)\/((-12)\/(-8)). Let u(r) = -r**2 - 8*r - 3. Let z be u(-7). Put 1\/7, s, z in decreasing order.\nAnswer: z, 1\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1461545546 + 4?\nAnswer: -1461545542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**2 + 1 - 4*j**3 + 2*j + 9*j**3 - j**2. Let l be o(-1). Is (-2)\/(-4)*(l + 9 - -10) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**2 - m**2 + 2*m**2 + (-4*m**2 + 4*m - 4*m)*(2 + 1 - 2) + 0*m**2 - 3*m**2 + 2*m**2.\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 o when three letters picked without replacement from {o: 3, h: 2, a: 3, i: 3, k: 3}.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.26 - 0.04. Let i = -1.3 - m. What is the biggest value in i, -1\/4, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/147*7)\/(20\/28).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3367 + -3123?\nAnswer: -6501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 197 - 64. Suppose -10*y + 3*y = -d. Suppose 3*g - 27 + 9 = -t, 2*t + y = 5*g. Solve -k + 18 = 4*q, -t + 1 = -5*k + 2*q for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-99)\/(-462)*4\/((-48)\/(-14)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -13, -0.3, -3, 180459?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-2)*1*16\/(-96).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.452712874 to 3 dps.\nAnswer: -1.453","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -1 (c) -7\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 112 + 78. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*y = 455942 + 223114. Is 258 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 22 = -14*o. Suppose 2 - 4 = -2*u. Sort 3, u, o in decreasing order.\nAnswer: 3, o, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 + 15. Put -1, t, -3 in ascending order.\nAnswer: -3, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 2011?\nAnswer: -2002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(((-1)\/3)\/((-249)\/(-5478)))?\nAnswer: -15\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 18393\/(-3069)*86\/(-108). Let l = a + 1\/2511. Calculate the common denominator of l and (158\/(-8))\/(10\/4).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1114.999996473 + -1115. What is c rounded to seven decimal places?\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of -1\/30*z**6 + 0*z**2 + 3\/40*z**5 + 1\/12*z**4 + 0*z**3 - 9*z + 0. Factor k(x).\nAnswer: -x**2*(x - 2)*(2*x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35 and 1633765?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a**5\/2 + 331*a**4\/2 - 3501*a**3\/2 + 11357*a**2\/2 - 4847*a + 756 = 0 for a.\nAnswer: 1\/5, 1, 4, 7, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9273834 rounded to the nearest 100000?\nAnswer: 9300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 8\/57353?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2472924508?\nAnswer: 2, 107, 163, 35447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2\/3, 39, 0.\nAnswer: -2\/3, 0, 5, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/(-238))\/(-12*25\/400).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -2*a + 12. Let l = a + 31. Suppose 4*w + l = 5*w. Is 16 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 48 = 4*w. Is (-4)\/w - (-100)\/16 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 883 is divided by 37?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 88\/21 + -27\/7. Let q be -19*2\/8 - 140\/(-28). Which is the second smallest value? (a) r (b) -2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 3 + 3 = 3*t, 5*t + 3*p = 10. Let j(z) = z + 5. Let h be j(-5). Let x = h + t. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3081 (b) 3 (c) -1\/6 (d) -2 (e) -2\/5 (f) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dsjdddjjssjsjdd. What is prob of picking 1 s and 2 d?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*l + 7 = 30, 2*i = -l - 26. What is the hundreds digit of (-2)\/6*89*i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 14*h**2 + 13*h + 11. Determine n(12).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 943 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of 0*r - 1\/1512*r**8 - 2\/945*r**7 + 2\/135*r**5 + 2 - 1\/27*r**4 + 4*r**2 + 0*r**3 + 1\/180*r**6. Factor n(t).\nAnswer: -2*t*(t - 1)**2*(t + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2233688?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, w: 1, f: 2, y: 5}. What is prob of picking 2 y, 1 w, and 1 p?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 7) to base 12.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(17\/2)*r\/r**(-6\/17)*r assuming r is positive.\nAnswer: r**(369\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifty-one fifths of a gram?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.3 + 1.1. Let y = 3 - 3. Which is the nearest to i? (a) y (b) 5 (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7255, -14391, -21417, -28339, -35163, -41895, -48541, -55107?\nAnswer: -61599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 919, 926, 935, 946, 959, 974, 991?\nAnswer: 1010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-679)\/(-2)*-2 + -1. Suppose -s - 5*x + 8 = -4, x + 12 = -5*s. Let r be (1 + s - -2) + k. Round r to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k**3 - 3*k + 0*k**3 - 7*k**3 + 2*k.\nAnswer: -7*k**3 - k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4522*a = 4524*a + 18*j - 116, 0 = -5*a - 2*j + 32 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of -1\/3*x**3 + 1\/24*x**4 - 1\/60*x**5 - 1\/120*x**6 + 0 + 0*x - 2*x**2. Calculate t(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 563986 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k**2 + 26*k - 31. Let t be g(24). Let i = 910 + t. Suppose z - 2*n = 5*z - 468, n = -3*z + i. What are the prime factors of z?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 4*d - 20 = 0, -5*i + 3*d + 27 - 4 = 0. Suppose g + 285 = i*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15183?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -10743, -10561, -10377, -10191, -10003, -9813?\n\"Answer: s**2 + 179*s - 10923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-9)*(-16)\/40.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9109*w - 318279 = -1364*w + 3296*w - 1643199 for w.\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 504 and 5391568.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -3, -84, 21 in ascending order.\nAnswer: -84, -5, -4, -3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 13*w + 2 - 12*w - 6*w. Let y(p) = -5*p + 2. What is -4*t(m) + 3*y(m)?\nAnswer: 5*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -43*q**3 + 3*q**2 + 12*q + 19. Let o be (-88)\/(-33) - 28\/6. Is 9 a factor of v(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3468 - 1658. Calculate the greatest common divisor of 40 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 91889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201433 is divided by 1971?\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 40*h**2 - 3*h + 65. Calculate the least common multiple of a(-40) and 5.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iy when two letters picked without replacement from pbsippy?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 PM and 12:33 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 340?\nAnswer: -345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n**3 + n**3 + 2*n**3)*(5 + 1 - 4)*(438 - 2778 - n**2 + 1275 + 5*n).\nAnswer: 2*n**5 - 10*n**4 + 2130*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1\/4, 0.2, 1\/7, -5, 1\/3, 199714?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 - 5*q - 17. What is m(-4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 240410813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 27 = 5*v, 6 = 3*q + v - 0. Suppose l + q*l = 12. Suppose -4*j + l*r + 47 = 0, 2*r + 45 = 5*j + r. Is 7 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of q**7\/2520 + q**5\/12 + q**4\/12 + q. Let h(c) be the third derivative of i(c). List the prime factors of h(0).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 c, 1 d, and 1 z when four letters picked without replacement from {d: 2, z: 3, b: 1, c: 1, m: 7}.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ph when two letters picked without replacement from pthpttltl.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -3, 3, 0, -1, -12 in increasing order.\nAnswer: -12, -3, -1, 0, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*y**2 - 12*y**2 + 31*y**2 - 8*y**2 - 29*y as l*y**2 + m + d*y and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -2. Let v = -10 + 5. Do v and j have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(sqrt(720) + -1*sqrt(720) + sqrt(720)))**2.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2836 is divided by 36?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 6:55 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-9))\/((6\/(-2))\/1)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 82 + -18. Suppose 4*h + j = 4*q, h - 15 = -5*q + 47. Let d(k) = -k**3 + 14*k**2 - 13*k + 6. Let z be d(q). Solve f - 1 = -z for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 - -23.3. Let l = 239\/7 + -3599\/105. What is the biggest value in l, -5\/2, 0.2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 357079?\nAnswer: 357079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 t when three letters picked without replacement from {t: 4, d: 4, q: 9, o: 2}.\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*sqrt(1377)*3 + (sqrt(170) + sqrt(170) + -3*sqrt(170)*-2)\/(-2*sqrt(640)))**2.\nAnswer: 47753\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -11 (b) -2 (c) -26 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 - 2 - (0 + -8) and 22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**2 - 1421*t + 231483. Calculate k(253).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d - 11 - 2*d**2 - 3*d**3 + 10 + 4*d**3 - 11*d**4 to the form f*d**4 + y*d + i*d**3 + l*d**2 + c and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-2470)\/120)\/19*63\/(-12) and 95\/17064.\nAnswer: 34128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = 2*u. Let w = -68 - -63.1. Let r = 5 + w. Which is the nearest to r? (a) u (b) 3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 70 = -170. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7179 - -7215. Let a = 196 - -451. Calculate the remainder when a is divided by k.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2000 is divided by 34?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250 is divided by 71?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 102761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1821, -4523, -8129, -12645, -18077, -24431?\nAnswer: -31713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 49*h**2*k**2*l*w - h**2*k**2 + 1586*h**2*l - 107*h*w + 7*h + 4*k**2*l + k**2 wrt h?\nAnswer: 98*k**2*l*w - 2*k**2 + 3172*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 45955 divided by -505\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*b - 5716025 = -5718075 for b.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + (-10)\/(-5) + (-70)\/(-10). Let x(o) be the third derivative of o**4\/8 - o**3\/3 + o**2. Determine x(y).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2409832 and 5448.\nAnswer: 1816","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -54 less than -718\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -28*x - 1373. Let b be c(-49). Let g(v) = v**2 + 3*v - 4. Let u be g(-4). Let f = 0 - u. What is the second biggest value in 3, -0.3, f, b?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/3 or 215\/36?\nAnswer: 215\/36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 248524.47 months in centuries?\nAnswer: 207.103725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n - 2. Let a be z(4). What is the common denominator of -23\/4 and (-46)\/4*a\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 2*q**2 + 2*q + 2. Let p be r(0). Suppose 0 = -7*s + p*s + 15. Suppose 0 = s*m + m + 4600000. Round m to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 3*f - 10, -195*f + 200*f - 12 = 3*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*r + 4*i, -4*r + 2 = -0*r + i. Suppose 8 = c - r*c. Let j(y) = -y**3 + 9*y**2 - 3*y + 11. Is j(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 7. Suppose -4 = 2*p + z*q - 0, 4*p + 36 = 3*q. Let b be -1 + 1 + p\/(-6). Solve 3*a + 10 = -l + 2, a = -b for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15138 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-15) + 0 - 11\/(-5). Sort -4, -2, i.\nAnswer: -4, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3866*u**5 - u - 19.\nAnswer: 77320*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((16\/(-3))\/(-4))\/((-44)\/198)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1433 minus 110?\nAnswer: -1543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -4. Calculate the remainder when 368\/(-32)*(-2)\/n is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.135193 and -1.3.\nAnswer: -1.164807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, e: 7, g: 3, q: 6}. Give prob of sequence et.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 586803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 - 26. Let s = t + 2. Solve 0*h = -3*h + 3*m, -4*m = -s*h - 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -4) + (-1 - 0) + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1082, 1078, 1070, 1058?\nAnswer: 1042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18908, 18906, 18904, 18902, 18900?\nAnswer: 18898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -12*v + 1. Determine l(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 4*k - 34. Let p = -103\/3 - k. Let s = -6 - -44\/7. What is the nearest to p in -1\/3, -0.4, s?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - y. Let l = -138 - -142. Suppose -b = -3*v - 18, -l*b - 4*v = -16 + 24. What is j(b)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6684 - 6677. Which is the biggest value? (a) -5 (b) v (c) -3\/11 (d) 0.5 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -78452 or -76366?\nAnswer: -76366","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1064283 (base 9) in base 15?\nAnswer: b50e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 245000004 - -10?\nAnswer: 245000014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -1, -211 in decreasing order.\nAnswer: -1, -12, -211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 2*c**2 - 3. Let h be z(5). Let i = -86 - h. Round i to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29085 times 0.7?\nAnswer: -20359.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.22 + -2.724. What is i rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 793 + 287 = 0. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3655922 and 134.\nAnswer: 3655922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -45?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 267954944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9a20 + 4?\nAnswer: 9a24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 - 18.00016. What is h rounded to 5 decimal places?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63 and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2132 divided by 5369?\nAnswer: 164\/413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3809 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -19730 less than -6.7442?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5922 and 296382?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 75855521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 15. Suppose -x*l = -22*l - 700. Calculate the common denominator of (18\/(-40))\/((192\/l)\/4) and -44\/7.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39 + 46 + -91 + -47?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -96 - -98. Find the third derivative of -17*k**2 + 72*k**z + 72*k**5 - 25*k**2 - 17*k**2 wrt k.\nAnswer: 4320*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 3 - 10\/16?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56, -3, -32.\nAnswer: -32, -3, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-4)*(1 - 4). Suppose 4*a + 2*r = -2, -3*r = 5 - 2. Suppose -2*p + 5*p - 9 = a. Which is bigger: p or u?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213839 is divided by 578?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 383, 381, 377, 371, 363, 353?\n\"Answer: -x**2 + x + 383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2223*v**2 + 3685746*v + 19896.\nAnswer: 3*(v + 1658)*(741*v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4*(-1)\/2*-2. Let l = q - 0. Solve l*k + k = -5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3683 - -3687. Solve -f*x = 4, 14 = 4*b + 2*x - 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88 is divided by 87.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-277)\/(-4) + (-5)\/20. Suppose 0 = -4*q + 27 + r. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95 (base 12) to base 11.\nAnswer: a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*z**3 + 447*z**3 - 8 + 234*z**3 + 8.\nAnswer: 699*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63408 is divided by 21133.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2280521*i + 3410761.\nAnswer: 2280521","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/15, 0.03, -2, 4\/37, 109?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -3230*o**5\/11 - 12879322*o**4\/11 + 696068*o**3 + 30965464*o**2\/11 + 10496432*o\/11 + 63808\/11 = 0?\nAnswer: -3988, -1, -2\/5, -2\/323, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 4:55 AM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0.2 (b) -31.3 (c) 27 (d) 3\/5 (e) 1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1112963636431902*r - r**3 - 1112963636431902*r.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2799 - (-18 - -10) - -5?\nAnswer: 2, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -899*h**2 + 5957494*h - 5957494*h as m*h**2 + n*h + s and give m.\nAnswer: -899","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 556.5 from 13492.\nAnswer: 12935.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/1116663 and -28\/3.\nAnswer: 1116663","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, p: 5, r: 1, l: 4, v: 2}. Give prob of picking 1 v and 2 p.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r*r**20*r*r)\/r*r*r*r**(-7)*r)\/(r**(-4)*(r\/(r*r**(4\/5)))\/r) assuming r is positive.\nAnswer: r**(124\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 418347 + 1.32.\nAnswer: 418348.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t - 63 + 4*t - t - t**2. Let q be j(0). Let i = 114 + q. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g + 1. Let h(l) = 2*l + 3. Let k(i) = 6*f(i) - 2*h(i). Let u = 3 - 1. Let b(j) = u*j - 2*j - 2*j**2. What is b(k(w))?\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-24)\/(-9) - 3)*21. Let f be (q\/(-7))\/(2\/4). Suppose d + 60 = 2*z, -f*z = -z + 5*d - 41. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1953, 4050, 6147, 8244, 10341?\n\"Answer: 2097*k - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + 0. Let a = 24 + -20. Let q = p - a. Does 8 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 240916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -96104 and 1.\nAnswer: -96103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -52, -159, -306, -493, -720, -987, -1294?\n\"Answer: -20*o**2 - 47*o + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d + 1 - 5 + 3. Let r be o(4). Differentiate -6 - 3*l**3 + 2 + r wrt l.\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*o - 60 = 112*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 328 = 5*l + 8. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 3. Suppose -3*r - j + 6 = j, i*j - 12 = -5*r. Suppose 12 = 4*a - r*a. Solve a*u = -l - 14, u - 22 = -l + 6*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -3*s - 43, -3*s = 3*j + 75 - 72. Solve -4*m = j*q + 4, -2*m - 4 = -2*q - 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -28*l - 3. Let u(q) = -644*q - 70. Give 3*u(x) - 70*y(x).\nAnswer: 28*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 5*t**2 - 11. Let g(w) = -w**2 + 2. Let v(s) = s - 10. Let n be v(8). Let b(r) = n*l(r) - 11*g(r). Let q(u) = 9*u**2 + 1. Determine b(q(i)).\nAnswer: 81*i**4 + 18*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i - 2. Let t be c(2). Let y be 1*(t - -1) + -2. Let o = 2 + y. What is the highest common factor of 6 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z - c + 6 = -7*z, z - 13 = 2*c. Suppose -453 - 3116 = -4*j + z*d, -20 = 4*d. What is the hundreds digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1665423 years to months.\nAnswer: 1.9985076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-12)\/g)**(-29\/3)*((g*g\/(g**13\/g))\/g)**(3\/8))**(2\/141) assuming g is positive.\nAnswer: g**(895\/564)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 177863500*b**3 - 87207360 wrt b?\nAnswer: 533590500*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -885*y = 3432 - 45912 for y.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -5*o. Suppose -4*x - 4*y + 7 = -1, -y = 2*x - 6. Let f(j) = 7 - j**2 + x - 11. What is f(d(r))?\nAnswer: -25*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 4*v - 3, -5*q - 5*v + 1 = -9. What is the smallest common multiple of q and 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4094.016465 - 4094. Round k to 4 decimal places.\nAnswer: 0.0165","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**8)**(1\/56)\/(u**3*u**(4\/3)) assuming u is positive.\nAnswer: u**(-88\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -357. Let y(a) = 223. Let k(v) = 5*b(v) + 8*y(v). Suppose -5*h = 10 - 30. Let z(j) = -3*j - 3. Calculate h*k(w) - z(w).\nAnswer: 3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qxqgxqozoqzqohqoxqhx. Give prob of sequence qzg.\nAnswer: 7\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -4*x - 6, x + 21 = -5*z + 3. What is the second biggest value in -0.3, 2\/3, x, 3\/4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 + 3)\/((-5)\/5). What are the prime factors of (414 - (-4 + l)) + 3?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 minus -117085.10957?\nAnswer: 117085.03957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1985.7604 to 1 dp.\nAnswer: 1985.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and -7780694.\nAnswer: -7780694.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*m**2 + 11*m**2 + 12*m**2 + 0*m**2.\nAnswer: 15*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -3) + -7 + 6 + 4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1088\/102 - (-1)\/((-3)\/2). Solve 5*y - 5 = -x for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**2 + 118*q. Suppose -d + 38*d = 0. Let w(c) = 3*c + d*c + 7*c - 12*c. What is t(w(y))?\nAnswer: -8*y**2 - 236*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o. Let w(q) = -6*q + 10. Let r be w(6). Let m(z) = 4*z - 3. Let u(p) = 17*p - 13. Let x(v) = r*m(v) + 6*u(v). Determine x(h(c)).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 j when two letters picked without replacement from jqqjjjjqqqqqqjvqqjqq?\nAnswer: 42\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1729331 is divided by 19877.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*a - 78*a**2 - 79*a**2 + 158*a**2)*(4*a**3 + 24*a**3 + 5*a**3).\nAnswer: 33*a**5 + 462*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160494 = -3644*i + 1318*i for i.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 9. Let d be -7 + 10\/5 - r*-1. Let b = d - -30. Solve 5*o + n - 4*n - 30 = 0, 5*n + b = o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/5 + 175612932*x\/5 + 7709975471409156\/5.\nAnswer: (x + 87806466)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10211031704724\/215 - 47493044789. Let w = -125931 + i. Let f = w - 2\/43. Which is bigger: -1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*y + 5*k, -4 = -5*y + 3*y - k. Put 3, y, -2 in ascending order.\nAnswer: -2, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + 0 + 951505*-1. Let n = g + 2151504. What is n rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000135848 to 7 decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 3*w**2 - 13*w + 8. Determine q(-8).\nAnswer: 432","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -1.04, -0.9, -2 in ascending order.\nAnswer: -2, -1.04, -0.9, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/56*121\/((-15609)\/2064)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 57*k*z**2 + 184*k + 4*z**3 - 2 with respect to z.\nAnswer: 114*k*z + 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 6:35 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 0 = 2. Calculate the greatest common factor of n and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-38)\/(-38))\/(14\/(-6))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -87, 872 in decreasing order.\nAnswer: 872, 0, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d2 + c1?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 389632.17 rounded to the nearest 10000?\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 657973 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -15515 rounded to the nearest 1000?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = b + 2. Suppose 5*z + 5*a + 1 = 21, z - 5*a - 10 = 0. Let p(h) = -h + 6. Calculate the remainder when b is divided by p(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 1, -3*d - 5 = -4*s - 21. List the prime factors of (d\/6)\/(10\/255).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304794 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3466, -4317, -5178, -6055, -6954?\n\"Answer: -z**3 + z**2 - 847*z - 2619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1219 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0318939 decades to millennia.\nAnswer: 0.000318939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108, -300, -614, -1050, -1608?\nAnswer: -2288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9858727 is divided by 27?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -25000 rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 + 18*u + 18. Let a(b) = 2*b**2 + 17*b + 17. Let t(j) = -2*a(j) + 3*f(j). Let g be t(21). What is the second smallest value in 11, g, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 - 4 + 5)*(n - 7*n + n)*(2*n**2 - 2*n**2 + 5*n**2) - 4*n + 4*n - n**3 - 4 to q*n**3 + i + c*n + o*n**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5570?\nAnswer: 2, 5, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 2*h - 7*h - 27, 2*b - 5*h = 7. Let i(a) = -a**2 - 3*a - 5. What is i(b)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -4.6. Let j = s + 0.1. Let p = j - -1.5. Which is the smallest value? (a) p (b) -1\/5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44\/719 - -543\/2876. Which is smaller: d or 0.64?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 0 + ((-216)\/(-9))\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 849 - ba?\nAnswer: 76d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -46*u**3 - 322*u**2 + 322*u + 644. Let h(s) = -s**3 + s**2 - s - 2. Calculate -644*h(x) - 2*p(x).\nAnswer: 736*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a - 17*a + 5*o = -421, 4*a = 5*o + 847. Put a, 2, -3, -4 in descending order.\nAnswer: a, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/12)\/(((-322)\/5313)\/(6\/(-22))).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 9) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**2 - r**2 + 0*r**2 + (2*r + 0*r + 0*r)*(-3*r + r + r) + 2*r**2 + 2*r**2 - 3*r**2 + r + 9*r**2 - 930 + 3*r + 929.\nAnswer: 6*r**2 + 4*r - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*i - 310 - 2687 = -276*i for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r**3 + 10*r**2 + 7*r + 6. Let y(z) = z**3 - 9*z**2 - 6*z - 5. Determine -5*k(h) - 6*y(h).\nAnswer: 4*h**3 + 4*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -304 - -143. Let l = 525 + w. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from dhdhddhd?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-2))\/(12\/(-12))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 151 and -0.5.\nAnswer: -75.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*k - 302*k**2 + 140*k**2 + 161*k**2 + 103*k - 3 - 20*k.\nAnswer: -k**2 + 121*k - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 - -28. Let j(z) = -z + 25. Let n be j(v). Calculate the highest common divisor of 175 and n.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14844202660 rounded to the nearest 1000000?\nAnswer: -14844000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34 + -16. Let o = 13 - c. Let x be ((-4)\/(-6))\/(50\/15). What is the nearest to -1 in o, x, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 + -69 + 110 - (1 + -16)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 3*o + 224, 298 = 3*y + 5*o - 0*o. Suppose 5*n - 8*n - 59 = -q, -2*n - y = -2*q. Calculate the remainder when q is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -725*z + 200 = -376*z - 369*z for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 36. Suppose 2*y - 22 + 5 = -c, -3*c + v = -y. Let r be (-75900006)\/(-33) - 2\/c. What is r rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 8*t**2 + t - 4. Let s be f(-2). Let x = 17 - s. Let o(p) = -7*p - 21. What is the remainder when o(x) is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(((x*x**1\/x)\/x)\/x*x)\/x)\/x)**4*(x\/(x\/x**(2\/9))*x)**(-9\/5)*(x*x**(-1\/4)*x)**(-2\/43)\/(x**(-1))**(1\/13) assuming x is positive.\nAnswer: x**(-34683\/5590)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25658 is divided by 1969?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 258.306756 rounded to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -7. Suppose -f = y*f - 20. Let u(s) = s**3 - 3*s**2 - s - 5. What are the prime factors of u(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - (4 - -2) - -1. Let w(b) = 2*b**2 - 4*b - 3. Calculate w(p).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 110390 = -262*w + 264*w, 2*t + 220738 = 4*w. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 7330\/30 + (-72)\/(-27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g - 15. Let v(c) = 1. Let h(z) = -n(z) + 5*v(z). Let i be h(9). What is the greatest common divisor of i and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.004, -7, -0.2 in decreasing order.\nAnswer: -0.004, -0.2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a milligram in micrograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000007439 rounded to seven dps?\nAnswer: 0.0000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 9*l - 1. Let y(k) = 4*k - 3*k + 11 - 11. Suppose -g + 4*g + 2 = 5*p, g - 4*p + 3 = 0. Let n(i) = 7*i - 1. Let u be n(g). Calculate u*y(a) - v(a).\nAnswer: -3*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mnzo when four letters picked without replacement from {o: 2, h: 2, z: 1, i: 1, m: 5, n: 5}.\nAnswer: 5\/4368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.2454 times 30\nAnswer: 7.362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*j**4 - 194986*j**2 - 135*j + 19257 wrt j?\nAnswer: -204*j**2 - 389972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(2057) + -1)*1*-5)**2 + -1 + -4 + 3.\nAnswer: -550*sqrt(17) + 51450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37286917?\nAnswer: 41, 909437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nssnssns. Give prob of sequence ns.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16.99999888 + -17. What is b rounded to 7 dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 326211 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/12 + (-4265)\/(-150) + -9. Suppose -176*q**2 - 32\/5 + 1072\/5*q**3 + x*q**5 - 546\/5*q**4 + 288\/5*q = 0. Calculate q.\nAnswer: 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/((-1)\/1)*(-30)\/75.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9c2 (base 14) to base 9\nAnswer: 2578","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14052 - -14176.57. Round h to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/890 and -3\/445.\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 - 20 - (-1 + 0 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 110 by -3034732.\nAnswer: -55\/1517366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 - 1. Let b(z) be the second derivative of -z**4\/2 - 9*z**2\/2 + 94*z + 11. Let d be (-12)\/(-7) + (-4)\/(-14). Give d*b(v) - 18*p(v).\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 147*g + 14. Let b be w(11). Suppose -3*t = -4*t + b. Suppose t + 639 = -a. Round a to the nearest one hundred.\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4*u = -10171, -24612 + 4306 = -2*i - u. What are the prime factors of i?\nAnswer: 3, 5, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 278 * 1.\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (((-7)\/(-3))\/(31\/62))\/((-4)\/24)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-75)\/(-1800) + (-3125)\/120?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-432)\/10)\/((-9243)\/(-5135)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -555 - -556. Solve 27 = 5*r - 3*s, -3*r + 4 + u = s for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 2 + -4*(sqrt(475) + 2 - (3 + sqrt(19) + 2)))**2.\nAnswer: -448*sqrt(19) + 5060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/60 of a day?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -3203?\nAnswer: 3210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 25527662299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 3, 243409774, -1 in increasing order.\nAnswer: -4, -3, -1, 3, 243409774","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 719 >= -109\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1713 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/6773956 and -73\/420831.\nAnswer: 1402208892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -10. Let f(b) = -14*b - 6*b + 2 + b. Is 17 a factor of f(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1132*g + 416*g + 9153742 - 1446718 = 0. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/4 of a century?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 - 9. Suppose -7*n = -n - m. Suppose 0*b - 4 = -n*b. Solve -q - 3 = b for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33 - -21. Let v = g - -31. Suppose -2*o + 51 = v. What is the highest common divisor of o and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 3*o - 6, o - 2*o + 2*q - 3 = 0. Suppose -c + o*c + 5*m - 26 = 0, 2*c + 3*m = 22. Suppose -3*k = -32 + c. Solve k = -3*u + u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45 divided by -500813\nAnswer: 45\/500813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/80 and 69\/2744.\nAnswer: 27440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -480632 + 21.4.\nAnswer: -480610.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00052553701 to 5 dps.\nAnswer: -0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 442 is divided by 33?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*d + 570 + 583 = 24*d + 937 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7701536 nanoseconds in milliseconds?\nAnswer: 0.0000007701536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19065027?\nAnswer: 3, 37, 171757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.01 - 0.06. Let c = u + 0.05. Let z = 0 - 0. What is the closest to c in z, 2, -2\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of 87*i**4 + 2*i + 13. Let g be q(1). Suppose 5*n - g = 15. What are the prime factors of n?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*f + 106 + 14 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22218 is divided by 220.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-50)*(-2550)\/680.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/((sqrt(72) - sqrt(72)*-1) + sqrt(72)).\nAnswer: sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 3*w = -87, 4*w - 96 = -5*u + 47. Let b(l) = l**3 + 3*l**2 - 4*l + 3. Calculate the remainder when u is divided by b(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 41, 170, 421, 824, 1409, 2206, 3245?\n\"Answer: 5*q**3 + 31*q**2 + q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 5*j**3\/3 - 15025*j**2\/3 - 7179610*j\/3 + 7224640 = 0?\nAnswer: -422, 3, 3424","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 - -553. Let x = -402 + d. Does 11 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -454*x + 22. Let s be w(-4). Suppose 17*t - 7227 = -s. What are the prime factors of t?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -26674 - -51143. List the prime factors of b.\nAnswer: 24469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 144622?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*w = -14*w - 2*x + 20, 0 = w + 5*x - 34 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*z + 29*z + 0*z**2 + 59*z - z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -527228*h**3*u**2 - 3*h**3*u + 2*h**2*u - 127*h**2 - 34*h*u - 4*h wrt u?\nAnswer: -1054456*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**2 - 4*j**2 + 2*j**2 - 175*j.\nAnswer: -3*j**2 - 175*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of -5*x**2 - 12. Let d(w) = -w**2. Give d(k(i)).\nAnswer: -100*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -4637695?\nAnswer: 3\/4637695","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (208 - 24 - 108)*(1486 - 1486 - 112*v) to y*v + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4260 and 120?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*x - 4*c + 537 = 96*x + 121, -10 = -2*c for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/8)\/(((-36)\/(-16))\/9). Calculate the highest common divisor of 183 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33586 is divided by 71?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = a - 6. Is 12 a factor of 497\/35 - a\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oogo when four letters picked without replacement from {g: 1, o: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*c**3 - 35*c**3 + 73*c**3 - 26*c**3.\nAnswer: -14*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3b5644a + -2?\nAnswer: -3b56450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.1757469 plus 2.945?\nAnswer: 0.7692531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 9:58 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 2621 divide 421447113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5391, -5343, -5295, -5247?\nAnswer: -5199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 25*v**5\/7 + 397*v**4\/7 + 911*v**3\/7 - 397*v**2\/7 - 936*v\/7 = 0. What is v?\nAnswer: -13, -72\/25, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223488 = -2989*j + 30944 - 187130 - 32808 for j.\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27913 - 27901.503. Let i = -0.003 - g. Let d = 11 + i. Which is the second biggest value? (a) -2 (b) d (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aklqlmldkllaka. What is prob of picking 1 l and 1 m?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -9, -14, -21?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m - 5*m - 22*m**2 - 29*m**2 + 40*m**2.\nAnswer: -11*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*g + 282*g + 125*g - 19*g + 130*g in the form y*g + m and give y.\nAnswer: 490","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -3*y**3 - 1160337*y**2 - 112197915960*y + 112199076300 = 0.\nAnswer: -193390, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -8*i**2 + 3*i + 6. Let a be s(6). Let x(l) = l**3 - 48*l**2 + 14*l - 113. Let r be x(48). Let y = r + a. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 3*g + 112, -g - 32 = 20*l - 16*l. Suppose -2*o + 3 = o. Is o\/(2*(-2)\/g) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 10 (b) -3\/4 (c) -0.1 (d) 12\/13 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + 12*r - 19. Let w be k(14). Let c be (w\/25)\/(1\/(-10)*2). Let q = -53 - c. Which is smaller: 2 or q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20172 divided by -492?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160077164.\nAnswer: 2, 13, 443, 6949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21*(-4)\/90*(-114)\/(-133).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 9*x - 4. Let k(n) = -19*n + 7. Let j(l) = 4*k(l) + 7*p(l). Give j(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*l + 75630 = -17*l. Suppose -55*c + 49*c + l = 0. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -1.5.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 1430237030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/20, 3\/14, 3\/7, -0.6, 2.3 in decreasing order.\nAnswer: 2.3, 3\/7, 3\/14, -1\/20, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1351 - 1344. Solve 10*c - t*c = -15 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 10 - (4 - 3 - (-1 + 5))) + 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*d**3 - 6400*d**2 + 103965*d + 369360 = 0. What is d?\nAnswer: -1296, -3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8.1 + -8.09555. Round g to 4 dps.\nAnswer: 0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -336219 and -0.3?\nAnswer: 336218.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, -5, 800 in decreasing order.\nAnswer: 800, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18 is divided by (-46)\/(-10) + 9\/(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 - 6*m - 4. Calculate the remainder when 12 is divided by t(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**3 - 112. Let i(r) = r**3 + 56. Let d(z) = 5*i(z) + 2*k(z). Let n(f) be the first derivative of d(f). Let m(b) = 41*b. What is n(m(u))?\nAnswer: 5043*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -17 - (-20 + 3874\/1274). Which is the second biggest value? (a) -0.3 (b) v (c) -126\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((828\/30)\/2)\/((-6)\/(-20)). Calculate the highest common factor of 1886 and y.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 147 and 1521.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2254.5347 times -0.08\nAnswer: -180.362776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 36224001 to the power of 1\/2, to the nearest integer?\nAnswer: 6019","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*i - 3677 - 1889 = -93*i for i.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.24 and -0.1.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (0 - -4) - -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100001001000000 - 100110111?\nAnswer: -1100001101110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -9245*z + 499257. Determine s(54).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 378?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*v + 30 = -91*v. Let b(l) = -l + 7. Give b(v).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32275409 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1698 + -1703. Sort -72, 2, z, 4.\nAnswer: -72, z, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 1\/26, 3, -2302, 1\/4?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 4632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21175 and 44660.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 153 - 142. Suppose -55487 = -g*p - 18010. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 AM and 8:19 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from ewemweeweewwm.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.005516, 133, -4, -2\/11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from aetaetteaaaeet.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1441654 smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*y**2 + y**2 - 13553582 + 13553582.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 4 = 22. Find the second derivative of 2*l**2 - 5*l**2 - d*l + 0*l + 10*l wrt l.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 37 = 4*p, 1131*y - p = 1127*y - 23 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - -347.63.\nAnswer: 347.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 300*f + 284 + 268 = 324*f for f.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 597123914?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*v + y = -27*v + 41*v - y, 2*v = 4*y + 20 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -706, -2781, -6240, -11083?\n\"Answer: -692*b**2 + b - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 n when two letters picked without replacement from nznqzzzqzq?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2614249?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 5*a**3 - 3*a**2 + a - 3. Let q(b) = 14*b**3 - 8*b**2 + 2*b - 8. What is 3*q(y) - 8*z(y)?\nAnswer: 2*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 530692 is divided by 132645?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 15) to base 6\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -159*s**2. Let h(l) = -l. Calculate j(h(v)).\nAnswer: -159*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8261, 8264, 8267, 8270, 8273, 8276?\nAnswer: 8279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 10 = -5*r. Let l(g) = -35*g**2 - 3*g + 79*g**2 - 43*g**2 - 2*g + 7*g + 2. What is l(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - (10 - 0 - 0). Suppose -8*a = -3*a + 2*f + 159, -2*a - 66 = 2*f. Let t = w - a. What are the prime factors of t?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 40\/23, 39.187, 19?\nAnswer: 40\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17.216 + 120.31. Let l = w + -103. Round l to 2 decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 126*f - 180*f - 107*f to the form p*f + b and give p.\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -205.84 to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 2*i + z, -5*i + 5 = 104*z - 99*z for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {n: 1, r: 2, k: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hdddrgh. What is prob of picking 1 d, 1 h, and 1 g?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18483)\/(-3030) - (-4)\/10?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 800 (b) -3\/5 (c) 5 (d) 1956\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 375 and 375?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*p - y - 35, -5*p - 50 = 2*y. What is the common denominator of (-59)\/p*10\/15 and -93\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*k + 62 = 5*d, -4*k - 80 = 4*d. Let j = -9 - k. Let w(r) = -22*r + 6. Let p be w(-3). What is the highest common factor of j and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1630 and 0.2.\nAnswer: 1630.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 3*n - 10, -n - n + 12 = 2*f. Suppose 58 = 5*t - 3*c, 17 = t + c - f. Calculate the smallest common multiple of (12\/8)\/(3\/44) and t.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*12\/108*9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1054 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + h + 1. Let b be s(-1). Let d = b - -6. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219 is divided by 21?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-p + 3 - 3)*(p - 2*p + 0*p) + 2*p**2 - 1 + 1)*(-p + 2 - 2)*(31 + 15 + 23).\nAnswer: -207*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3 = -2*d + 15, -d = -2*b + 12. Let a = -1814 - -1815. Let i = b - a. Solve 0 = 2*n + 2 + i for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (-28 - (1 - 1 - (15 - 3))).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 7 = -2*k, -o - 4*k - 8 = 1. Let w = -1677 + 1653. What is the nearest to 2\/5 in w, o, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44, -5, 5, 4 in ascending order.\nAnswer: -44, -5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.416 - -0.084. Put s, -0.1, -0.032 in decreasing order.\nAnswer: s, -0.032, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, n: 9, s: 3, i: 3, k: 2}. What is prob of picking 2 n and 1 s?\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**2 - 14*j - 30. Let n(z) = 5*z**2 - 25*z - 60. Let x(d) = 5*b(d) - 3*n(d). Factor x(c).\nAnswer: -5*(c - 3)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-10 + 34 - -21).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1.3191003 - 6196\nAnswer: -6194.6808997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of s**4\/12 - 8*s**3\/3 + 45*s**2\/2 + 19*s - 1. List the prime factors of h(20).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*w + 524 - 6749 = -130*w + 471 for w.\nAnswer: 72","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 xrrxxmrxrmmmmmr?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 6234?\nAnswer: -622b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*x**2)*(2 - 20 - 37).\nAnswer: -110*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/60)\/((-1117)\/318345)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -65*m + 15*m + 16*m + 15*m - 17*m**2 + 14*m. Let d(j) = 7*j**2 + 2*j. Let i(q) = 5*d(q) + 2*z(q). Let o(x) = 2*x**2 - 2*x. Give i(o(l)).\nAnswer: 4*l**4 - 8*l**3 + 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 16*o**2 - o + 25. Suppose -w + 15 = -1. Let p be u(w). Suppose 0 = 17*l - 16*l - p. Is l a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-403 - -13)\/((0 - (-82209)\/41100) + -2). What is t rounded to the nearest one hundred thousand?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(432)*4)**2 - sqrt(432) - sqrt(33)\/(sqrt(11) - 2*sqrt(11)*-2).\nAnswer: 419*sqrt(3)\/5 + 6913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d - 33. Let p be k(-9). What is the tens digit of (1 + 267\/p)\/(1\/(-5))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206 is divided by 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**2 + 3573*g = 0.\nAnswer: 0, 1191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of 7*d**4\/24 - 23*d**3\/3 + 20*d**2. Calculate the remainder when p(10) is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2. Let k be b(0). Let z(j) = -j**2 + 13*j - 3. Let t be z(0). Let q = k - t. Solve -2*m = 3*x - x - 14, -q*x - 4*m = -23 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 4*c + 12 = 0. Suppose -a + 2 + 0 = 0. Suppose 28 = a*m - 4*s - 180, -4*s = -m + 100. What is the greatest common factor of c and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 508 (b) -7 (c) 2\/11 (d) 53\/3 (e) 3 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 3)*(280 - 280 + 270*c**3) + (-1 + 2*c + 1)*(-2*c**2 + 3*c - 3*c).\nAnswer: 266*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -1) + -1 + (-24 - (-27 - -18))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 312929587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 13202 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in 173726, 44, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.026 - 0.026. Put g, -2\/5, 5, 0.3 in ascending order.\nAnswer: -2\/5, 0.3, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 534*3.\nAnswer: 1602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 5\/((-10)\/(-8)). Factor -2*s**2 + 0*s**4 + 2*s**5 - 2*s**3 - 2*s**f + 4*s**4.\nAnswer: 2*s**2*(s - 1)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 751 + -258. Does 17 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1, -1\/5, -53831, -1\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/46431 and 13\/198387.\nAnswer: 2182257","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1809)\/(-15) + -6*(-3)\/45. Let i = -116 + l. Suppose 0 = 4*z + 5*k + 2, z = -2*z + 2*k + 10. Is i at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j, 47*n = 45*n + 5*j - 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by (-4 - (0 + -1)) + 35 + -1?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - 4*w**2 - 5*w + 2. Let p be a(5). Suppose 0 = -p*y - 4*n + 50, -n - 50 = -2*y + 3*n. Is 23 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -158. Factor 45*b**3 - 12*b**4 + 52*b**2 - 60 + 7*b**4 - 187*b**2 + i*b.\nAnswer: -5*(b - 4)*(b - 3)*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 58\/3*k**3 + 57 + 1\/3*k**4 - 94*k + 52\/3*k**2.\nAnswer: (k - 1)**2*(k + 3)*(k + 57)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29.59379 centuries to years.\nAnswer: 2959.379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 300 divided by -5769\nAnswer: -100\/1923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1007 is divided by 113.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14759 + 17960. List the prime factors of s.\nAnswer: 3, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8836.85 + 1083879.85. Let l = 1075108.99928 - n. Let c = l - 66. Round c to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 286039?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4845 times -0.4?\nAnswer: -1938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/15*0)\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1591007, -1590997, -1590973, -1590929, -1590859, -1590757?\n\"Answer: n**3 + n**2 - 1591009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*2*(-2)\/(2 - 0). Let s be (a\/1)\/(-3*2\/(-3)). Let q(y) = -6*y - 147. Let h be q(-25). Put h, s, -43 in decreasing order.\nAnswer: h, s, -43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -3 + (19 + -11 - 107)?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9266 divided by 226.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = 3*x - 24. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44 and 152.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a09a4 + 443?\nAnswer: -1a0561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1103 - 1098. Let k be (1 - -5)*(-10 - 5). Let i be (8\/h)\/(k\/(-75)). Which is the closest to -1\/3? (a) -2\/5 (b) -2\/7 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t - 9. Let d be h(0). Calculate the remainder when (d - -102)\/(6\/4) is divided by 35*(32\/20 - 1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -1731639, -151 in ascending order.\nAnswer: -1731639, -151, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -1\/60*f**5 - 25\/6*f**3 + 0 + 125\/6*f**2 + 5\/12*f**4 - 72*f. Let u(o) = 0. Calculate o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35250?\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (48\/(-15))\/((-2)\/5). Let j(x) = x + 10. Is j(w) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of -5*o**3\/6 - o**2 - 108*o. Let a(w) = -w. Give a(k(v)).\nAnswer: 5*v + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -30158.170798 and 10?\nAnswer: 30168.170798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four sevenths of a week?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + 12 - (-113 + 21)?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -173675, -173717, -173779, -173855, -173939?\nAnswer: -174025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1047 * 7.\nAnswer: 7329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 6*s + 2. Suppose -6*f - 22 = -4*f. Let h be r(f). Suppose -2*m + 171 + 179 = 4*a, -m + h = -5*a. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 441 - 375 + 2*r**3 + 5*r - r**3 - 12*r**2. Let a be k(11). Solve -3*x = 3*f - 12, -4*x + 9*x - f - 26 = a for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.26 in -56, -2\/5, 0.5, 0, 22?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/4 (b) -5 (c) 378 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42 - 22. Suppose 5*w = -15 - x. Suppose -t - 5*h + 8 = 0, 2*h - 18 = 3*t + 3*h. Is w smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-112 - 106 + 742*v + 218)*(2 + 20 - 1)*(0*v + v + 0*v) to u*v**2 + l + t*v and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 66166 (base 8) in base 6?\nAnswer: 332314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 144\/13 + 2*c**2 - 172\/13*c + 2\/13*c**3.\nAnswer: 2*(c - 4)*(c - 1)*(c + 18)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*v**2 + 11*v**2 + v**2 + 7 - 4*v**2 - 7 - 3 + 3 + 2*v**2 + (-2 - 1 + 5)*(3*v**2 - v**2 - 4*v**2) - v**2 - 3 + 3 + (2*v + 2*v - 2*v)*(3*v - 4*v + 0*v).\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c + 13. Let o be a(-4). Let y = o - 21. Are -5 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p - 146. Calculate m(-3).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 120 and 390.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10514 - -126919\/12. Let r = 149\/4 - z. Let g = 223\/10 + -39\/2. Calculate the common denominator of r and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1110)\/(-2190)*13724\/188?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + x - 2)*(-157*x**2 - 156*x**2 + 334*x**2).\nAnswer: 21*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -2*z + 192, 12*d - 13*d = 4*z - 409. Calculate the remainder when z is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*30\/195*26\/8.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 58913 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 57 = 92 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*a = 135*a - 210. What is the least common multiple of a and 243?\nAnswer: 1701","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of 2*c**7\/105 + 69*c**6\/10 - 839*c**5\/15 + 351*c**4\/2 - 844*c**3\/3 - 7*c**2 + 14. Factor t(g).\nAnswer: 4*(g - 2)*(g - 1)**2*(g + 211)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 25825, 25853, 25881, 25909, 25937?\n\"Answer: 28*j + 25797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -136524790.94 + 62.2?\nAnswer: -136524728.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2735714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 11:42 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 49*r**2 - 16*r**3 - 598*r + 78*r + 26239 - 28267 + 15*r**3.\nAnswer: -(r - 26)**2*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 1 = -x. Let h(p) = p**3 - 2*p**2 - 3*p - 1. Let y be h(-1). Let a be 8\/(-28) + y\/((-21)\/552). Solve x*r = 4*g + a, -3 = 2*g + 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -10*m - 76. Let g be k(-10). Suppose -2*t - t = d + 8, 2*t + g = 4*d. Sort 5, d, -2, -22 in increasing order.\nAnswer: -22, -2, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*l + 217 = -60 + 39 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 5 + sqrt(72)*-2)*4)**2*3 + -4.\nAnswer: -1152*sqrt(2) + 13868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 564985 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16031 * -0.5.\nAnswer: 8015.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22*((-150)\/(-90))\/((-5)\/15).\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/15356 and 79\/76780.\nAnswer: 76780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - (-2 + 75\/27). Let j = -2 - 2. What is the third smallest value in g, -1\/2, j?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 3*u**2 - u. Let y be h(-3). What is the third derivative of 3*z**6 - 58 + 120 - 62 + 82*z**2 - 25*z**y wrt z?\nAnswer: 360*z**3 - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 2 + 0)*(0 - 1 + 0) + 0 + 2 - 1 + 26 + 19 - 33)*(y + 3*y - 5*y + (-2 + 1 + 0)*(-y + y + y)).\nAnswer: -24*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -4. Let u = d - 12. Which is the closest to 1\/3? (a) 1\/3 (b) 2\/9 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -8, -5\/88701?\nAnswer: -5\/88701","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 - 6*b**2 + 5*b + 5. Let z be ((-1)\/1)\/(3\/(-15)). Let l be p(z). Let a(w) = w**3 - 5*w**2 + 8*w - 3. Is a(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 35 - 7 = 0. Let v = b + 23. What are the prime factors of ((-6)\/v - 0)*-3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 2451, 133 in decreasing order.\nAnswer: 2451, 133, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2530432 by 39538.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0691 - 0.9309. What is the fourth biggest value in 7, w, 0.5, 2\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 6 = 0, -3*h - 2 = -2*u + 10. Suppose 0*r - q = r, 12 = -u*q. Let s(i) = 4 - 2*i - r. Let d(p) = -3*p. Calculate s(d(y)).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (50\/(-2) + 0)*-1. Let y = 14 + -12. Suppose 2*k + 2*o = 24, -y*k + 7*k + o = 52. Solve 0*m + 5*m = 3*c + k, 0 = -5*c + n for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/11 and 68\/801.\nAnswer: 8811","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of -7*f**6\/30 + 3*f**5\/10 + 19*f**2. Find the third derivative of w(y) wrt y.\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1128 - 25*r**2 + 1121 - 2*r**3 - 21*r - 2250 as q*r**2 + b*r**3 + i*r + o and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -19 + 6*b + 35 - 18 in the form c*b + m and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by 494\nAnswer: 8\/247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 4*d - 12, 18*m = 15*m + 5*d + 7. What is the third derivative of -78*k**2 + 26*k**6 + 57*k + m*k**4 - 18*k**6 + 81*k**2 wrt k?\nAnswer: 960*k**3 + 96*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 4\/7, -6.\nAnswer: -6, -5, -2, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/(23296\/160))\/(5\/12)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 395 and 48901.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*d + 4*d + 3*d + 3*d to c + n*d and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that m**2 - 17404*m + 121779 = 0.\nAnswer: 7, 17397","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/85)*l)\/l)\/l**(-5) assuming l is positive.\nAnswer: l**(427\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13759*r**4 - r**2 - 1483*r wrt r?\nAnswer: -330216*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r**2 - 6957978*r = 0.\nAnswer: -2319326, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - 35*r**2 + 33*r + 15. Determine c(34).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5\/10)\/(3\/25320). Does 27 divide (-2)\/(-9) + l\/45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 6 = 4. Suppose z + c = 2*z - 3, -d*z + 4*c + 8 = 0. What are the prime factors of -2*z\/(-8)*58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6625?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*l - 939804 + 85461 = 0. What are the prime factors of l?\nAnswer: 3, 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.372304 to 2 dps.\nAnswer: 1.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 4, -69, 0 in increasing order.\nAnswer: -69, -5, -4, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2675779.\nAnswer: 67, 39937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/3*45\/6. Let g = -9.64 - 3.56. Let j = 13 + g. Which is the nearest to j? (a) p (b) -0.5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/3*(-1 - (-50)\/65). Let a = 8 + -13. What is the third smallest value in 1, l, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (45\/675)\/((-4)\/6*(-225)\/300)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/(-8))\/(56\/(-364))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*0.35.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 1:38 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**2 - d - 8*d + 9*d. Let s(t) = -5*t. Determine s(r(x)).\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 + 1 - (-99 - -108)) + 18.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5434.078 weeks to days.\nAnswer: 38038.546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*m + 6*m - 3082. What is the remainder when 1\/(2\/(-4)) + (m - 2) is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 4*s. Suppose 4*j - 3*j - 10 = 2*g, 5*g = 5*j - 35. Suppose j*l + 2 + 18 = 0. Sort -2, l, s.\nAnswer: l, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 36388399*q**3 - 16*q**2 - 306955*q wrt q?\nAnswer: 218330394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -120255083.997332 - -120254115. Let r = g + 969. What is r rounded to 4 dps?\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(363) + sqrt(15)\/(sqrt(15)\/sqrt(3)).\nAnswer: -1 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j**2 + 11777*j**3 - 5*j**2.\nAnswer: 11777*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-102)\/(-28)*(-9716)\/(-2082)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1433 - 789. Is 23 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) -2\/7 (b) -1 (c) 2\/3 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g**5\/2 + 10*g**4 + 105*g**3 + 90*g**2 - 405*g\/2 = 0. What is g?\nAnswer: -3, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10.89 - 11. Let w = 0.09 - k. Which is the nearest to w? (a) 1\/3 (b) -1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*r = 25*r - 31*r + 330 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -23303301111 (base 4) to base 8\nAnswer: -13636125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a8 - -75511?\nAnswer: 756b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 8 = -l - 4*f, 0 = 2*f - 4. Solve 5*a = -3*h - 14, l = 5*h + a - 2*a - 14 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -19*c**8\/14 - 3*c**4\/4 + c**2 - 4*c + 1. Find the third derivative of m(i) wrt i.\nAnswer: -9120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -3*c**4\/2 - 1421*c**3\/2 - 5313*c**2\/4 - 531*c + 6147. Suppose j(g) = 0. Calculate g.\nAnswer: -354, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3*i + 9 + 1 = 0, 0 = x + 2*i - 5. Let v be ((x - -1) + 1)\/(-1). Suppose -2*b + 12 = -2*g, 0*b - 5*g = 3*b - 2. Put 3, b, v in decreasing order.\nAnswer: b, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5965437028 to the nearest integer?\nAnswer: 1814","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -830*r - 802*r + 1 - 1 + 83*r to the form p + z*r and give z.\nAnswer: -1549","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 7) + -6 + 184 + -114.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3091\/2 or -102?\nAnswer: -102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/8)\/(-1*20\/16)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 437.2305ml in litres?\nAnswer: 0.4372305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -5) + 1 + -9 + 122 + -73.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/(-27)*15\/20\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 10:05 AM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1987*r + 1991*r - 8. Determine d, given that -3\/4*d**3 - 3\/2*d**r + 3*d + 6 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**24*d\/(d*d**(-4\/17)))\/(d**(-23)*d\/(d**(-2\/9)*d)))**(3\/34) assuming d is positive.\nAnswer: d**(7193\/1734)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, 1, -8, -5\/4, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4674)\/(-20) - 6\/(-20). Let o = 232 - v. Which is the biggest value? (a) o (b) 3.5 (c) -1 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1632809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 895, 3750, 8503, 15160, 23727?\n\"Answer: k**3 + 943*k**2 + 19*k - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 5*f + 8644 = -f, k - 2181 = 4*f. Suppose 4*z = k + 643. Is 26 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + -1330?\nAnswer: -1322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -5984.24?\nAnswer: 11968.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/15077?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -871, -1737, -2603, -3469, -4335, -5201?\nAnswer: -6067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6365\/45828*(13\/10 - 1). Let d(w) be the third derivative of 0*w - 14*w**2 - 2\/3*w**3 + 0 + s*w**4. What is d(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11171 - 11170. Sort f, -1378, -5, 5 in ascending order.\nAnswer: -1378, -5, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8607 = -16*p + 29487. Suppose 5*f - 1311 = -2*u, -2*f + 3*f = 2*u - p. List the prime factors of u.\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1937*d**2 + 1937*d**2 + 211*d**5 + (3*d**2 + d**2 - d**2)*(7*d**3 - 3*d**3 - 3*d**3).\nAnswer: 214*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j - 23 = -j - 4*g, -4*j + g = 10 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x + x**2 + 5*x)*(983*x + 41053 - 41055 - 187*x).\nAnswer: 796*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 8*p**2 - 49*p - 922. Determine y(-8).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**2\/7 + 3756*g\/7 - 1175628\/7 = 0. Calculate g.\nAnswer: 626","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = z - 34, 0 = -0*g - g - 5*z + 14. Let h be (-1 + -2)*56\/g. Is 5 a factor of 6\/(-10) - h\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -186, 2\/7, 11, 3\/8 in descending order.\nAnswer: 11, 3\/8, 2\/7, -186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 24 = 7*b. Let l(w) = w**2 - 7*w + 6. Let k be l(b). Solve -2*x + 1 + 5 = k for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 1:33 AM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -41*f**2*o**3*p**3 - 6*f**2*o**3 - 5*f**2*o**2*p**3 + 16*o**3*p**2 + o**3*p wrt p?\nAnswer: -246*f**2*o**3 - 30*f**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3 (b) 5 (c) 12 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 79 - 75. Suppose 351 = p*f - 937. What are the prime factors of f?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 6:12 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 232329359?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(-4)*-3)\/((-396)\/(-96)). Let j = -8 + 6. Which is the biggest value? (a) -5 (b) w (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1523475?\nAnswer: 3, 5, 37, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 4*h = 28, -5*z - 7*h + 35 = -12*h. Find c, given that -4*c**2 - 11\/4*c**4 + z + c - 31\/4*c**3 = 0.\nAnswer: -2, -1, 0, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (3*-2*sqrt(2736)*2*-1 - ((1*-1*sqrt(2736) - sqrt(2736)) + -5 + 0)))**2.\nAnswer: 2352*sqrt(19) + 536305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 + 15 = 3*z - 19 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - 5*w**2 + 3*w - 5. Give z(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -66248*v**2 - v + 45033 wrt v?\nAnswer: -132496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, p: 7}. What is prob of picking 2 q and 1 p?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*196\/(-735))\/((-3)\/(-5*96)).\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*y + 751090 = 54*y + 746866 for y.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/5 (b) 57\/2 (c) 1\/3 (d) -4 (e) -5 (f) -101\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12*g - 54*g + 17*g)*(4 + 0*g**2 + 2*g**2 - 5) to c*g + i + f*g**2 + d*g**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.35 + -0.05. Suppose 0 = -5*n + 2 - 7. Let t = -2 - n. Which is greater: t or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 11*k**2 - 11 + 32 - 3*k + 13*k**2 + 11*k. Let c be q(-4). Suppose 5*o + 52 = 4*j + c, -3*j = 3*o - 171. Does 20 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 7*m**2 + 12*m - 5. Let r be i(8). What are the prime factors of (1 + r)\/(1 - 0)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.4 - -5.7. What is the second biggest value in 4\/7, -0.4, -2\/7, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1021758 divided by -6\nAnswer: -170293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 54 + -215\/4. Let n = -139\/204 - -1\/68. Which is the nearest to n? (a) -0.5 (b) 0 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6860.9992 + 6878. Let f = 16.67 + 0.33. Let q = r - f. What is q rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5606 - -10048. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1486*g + 741*g + 124*g**3 + 4*g**2 + 745*g.\nAnswer: 124*g**3 + 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/65, 1\/2158, -5, 16 in descending order.\nAnswer: 16, 1\/2158, -2\/65, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (-2)\/(-3) + 2280\/220?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**3 - 2*a + 108*a**2 - a**3 + 4*a**5 - a - 111*a**2 wrt a.\nAnswer: 240*a**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37528542 + 37528539.00000016. Let c = u + 3. What is c rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = 7*f - 20*f. Solve 6 = f*d + 4*v, 14 = -0*d - 4*d + 2*v for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 902208 is divided by 4195.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 707 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -862 + 551 = 115*z + 1874 for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 703 + -1407\/2. Put c, -29, -1\/10 in decreasing order.\nAnswer: -1\/10, c, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -299 - 303 + 5*d**3 - 313 - 305 + 1224.\nAnswer: 5*d**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8293 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t + 1888 - 348 = 0. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.44 + 5. Let w = -0.16 - -0.2. Let v = z + w. What is the third smallest value in -0.3, 0.5, v?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {y: 2, o: 1, x: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*n + 199*n - 62*n + 309*n**2 + 374*n**2 - 70*n.\nAnswer: 683*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 k when three letters picked without replacement from ttssitltslttlik?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 8) in base 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -69, -148, -225, -300?\n\"Answer: o**2 - 82*o + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -89\nAnswer: -6\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*j = 462 + 176. Solve -57 = -7*o - j for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11568198 is divided by 3856066?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169388*g = 5*v - 169387*g - 33, g + 15 = 3*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 708942 and 77958?\nAnswer: 151004646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/5 (b) -6\/11 (c) -8 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 5:52 AM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7361 is divided by 104?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 720\/(-88) + 8 + 20\/(-11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.61 - 58.31. Let n = u + 5.7. Let d = -2 + n. Which is smaller: 1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2136 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of -b**5\/210 + b**4\/4 + 22*b**3\/21 - 139*b**2. What is g in o(g) = 0?\nAnswer: -1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o**3 + 154*o**2 - 152*o + 414. Give c(-78).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**2 - d**2 + 4505 - 4*d**2 - 2*d**2.\nAnswer: -5*d**2 + 4505","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 68570 divided by 5?\nAnswer: 13714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3871 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-12))\/((-32)\/24 + 10).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.439 rounded to 1 dp?\nAnswer: -4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -324 - -328. Suppose -4*k = 2*w - 8, 2*w = 4*k - 0*w - 24. Let u be (2\/6)\/(k\/6). Which is the third biggest value? (a) -3\/5 (b) u (c) r (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 11*b**2 + b - 21. Let p = -25 + 35. What is the tens digit of a(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*u = -2*u - 0*u - 4*u + 1188 for u.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 12) to base 15\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**4 + 419844*o**3 - 9*o**2 - 1259526*o + 839688 = 0. What is o?\nAnswer: -139948, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 0.018, -2\/711?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 58 and 3132.\nAnswer: 3132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.0524533 - 0.062\nAnswer: -0.1144533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 + 0)*((6 - 2 - 2)*(2*a**3 + 0*a + 0*a) - 6 + 17*a**3 + 6) to the form h + w*a**2 + t*a + r*a**3 and give r.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -3*g + 2*g, -3*l - 3*g = 0. Let m(o) be the second derivative of -o + 1\/90*o**5 - 1\/9*o**3 + 0*o**4 + l - 2\/9*o**2. Find v, given that m(v) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1068 + -3?\nAnswer: -1070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4605464 + -10?\nAnswer: 4605454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -5, 3\/2, 1\/5, -0.4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1857*h = -1170*h + 6074 - 24236 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c**22*c)\/c)\/(c*c\/((c\/(c**(-1\/20)\/c)*c)\/c*c)*c*c*c))\/(c*c\/c**(-5))**4)**27 assuming c is positive.\nAnswer: c**(-4293\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 30 = 4*i. Let u be (-36755059)\/(-3) + 10\/i. Let r = u + -8551687. What is r rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of 1\/6*q**3 + 1\/12*q**4 + 0*q - 21 - 1\/60*q**5 + 2*q**2. Give p(6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (-16)\/(-4) + 459\/(-10 + 27).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81595 + -13688?\nAnswer: 67907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*d**2 - d**2 - 8*d**2 + (-1 + 1 + 2*d)*(-32 - 129*d - 31 + 63) to the form r*d**2 + a + b*d and give r.\nAnswer: -274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 8:06 PM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -409452 times 13\nAnswer: -5322876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 58 and 156304606?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 11, 1, -46 in increasing order.\nAnswer: -46, 1, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.76 and -0.53.\nAnswer: -0.4028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from grujzreu. Give prob of picking 1 j, 1 e, and 1 u.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 140291*v - 316017 wrt v.\nAnswer: 140291","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (26\/(-13))\/((1\/(-3))\/((-1045)\/(-570)))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 p when two letters picked without replacement from lpnffnf?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -98a899 - -40?\nAnswer: -98a859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -1010100111?\nAnswer: 1010100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 1. Let n(b) = b**2 - 6. Let v(y) = -n(y) - 5*t(y). Factor v(w).\nAnswer: -(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + (-4 - 0)\/1. Is b at most 2\/85?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 6) to base 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*o**3*s**2 + 2*o**2 - 593*o*s**2 + 3776*s**2 wrt o?\nAnswer: -9*o**2*s**2 + 4*o - 593*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 1752*j**3 - 11*j**2 - 8*j + 82. Let p be o(6). Round p to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618449464 rounded to the nearest 1000000?\nAnswer: 618000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + (-21 - 1)*(-2)\/(-4). Sort a, -1\/4, -4 in decreasing order.\nAnswer: -1\/4, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 758284?\nAnswer: 2, 293, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 0*d**2 - d + 4*d + d**2 - 3 - d. Let o be a(-3). Suppose o = 3*x + x + 4*f, 5*f = -x - 16. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -333*i**3 - 6*i**2 + 3*i. Let f(l) = -665*l**3 - 10*l**2 + 5*l. Calculate -3*f(j) + 5*q(j).\nAnswer: 330*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -36898923921.\nAnswer: 36898923925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 669 = 3*p - 123, o - 2*p = 264. Suppose 2*f = x - 2*x + 56, o = 4*x - 2*f. Let z = x + -59. Calculate the highest common divisor of z and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*r**2 + r**2 - 6*r**2)*(573 - 573 - 599*r) to the form v*r**2 + c + z*r + j*r**3 and give j.\nAnswer: 1198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(112\/(-6))*-4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -4*b**3 + b**2 - 2*b + 30. Let j be k(0). What is the highest common divisor of j and 160?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than 32994775895074?\nAnswer: 32994775895074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4, 73, 156, 245, 340, 441?\n\"Answer: 3*u**2 + 68*u - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ajrarravrvaraaarr. What is prob of picking 3 a and 1 v?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 520*g + 51. Is x(10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, j: 1, p: 1, u: 1, f: 1}. What is prob of sequence cjp?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -4. Suppose 0 = 3*j - 6, 5*a + l = -0*a - 4*j. Sort 2, -3, a.\nAnswer: -3, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of c**3*y**4 - 478*c**3 + 64*c**2 - 142137*c*y**4 - c + 1 wrt y.\nAnswer: 4*c**3*y**3 - 568548*c*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 s, 1 h, and 1 m when four letters picked without replacement from {m: 1, i: 1, n: 1, s: 1, h: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -231030112?\nAnswer: -231030112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 5*q - 1057 + 327, 4*m + 440 = 3*q. Let u be (13 - -1 - -3) + -1. Calculate the highest common divisor of u and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -3*t**3 + 1. Let c be s(1). Let o be (-2)\/c*-11 - 1. What is the units digit of 3\/o - 13\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 1) + -1 + (-152 - (-30 + -135))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -8149318, -16298631, -24447942, -32597251?\n\"Answer: r**2 - 8149316*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 - h - 8. Let f be g(-2). Let s be f + 4\/(-12)*0\/(-1). Is (-2156)\/(-5) + (s - -6)\/(-20) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/u**(-9))*u**(1\/11)\/u)**(-29) assuming u is positive.\nAnswer: u**(3161\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 737 is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1069 = -108*k + 109*k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of w**2 + 1. Let k be a(3). Let q = 74 + -75. Sort 0, q, k in descending order.\nAnswer: k, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 11.899 and -9466?\nAnswer: 9477.899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -3. Let j = 0.2 + -0.2. Let q = j - -0.1. What is the second smallest value in q, 4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 83*y**5 - 441268*y**3 + 546*y**2 + 25*y + 114.\nAnswer: 4980*y**2 - 2647608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1015*p - 1015*p - 21*p**3.\nAnswer: -21*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (385*d - 748*d + 430*d)*(1 + 1 - 6) + (-4*d + d + 2*d)*(-4 + 3 + 2) - 4 + 4 - d.\nAnswer: -270*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 + -203124441440?\nAnswer: -203124441423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x + 2123 = -2071. Let l = -277 - x. What is the units digit of (-2)\/2*(-1*l + -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 1, 2564, 5\/7?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d**3 - 702*d**2 - 9388578*d + 9389270 = 0. What is d?\nAnswer: -935, 1, 5021\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 22402.\nAnswer: -1\/11201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -27, -213, -545, -1017, -1623, -2357, -3213?\n\"Answer: s**3 - 79*s**2 + 44*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-161)\/(-21) - 8)\/((-1)\/(-9)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 76217 - 48046. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - g**2 + 1. Let r(x) = -20*x**3 - 41*x**2 - 2. Let d(z) = -2*h(z) - r(z). Find the third derivative of d(b) wrt b.\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3*b + 2 = 0. Find the third derivative of -4*x**b - 2*x**4 + 4*x**2 + 5*x**2 + 5*x**4 wrt x.\nAnswer: 72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2850 and -4486 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 878*a = 928*a + 135, -3*a = h + 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12650 and 1600?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 3*n = 3*g + n, 0 = -4*n for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 841.\nAnswer: 1\/841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -8, -1 in descending order.\nAnswer: -1, -3, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*p**3 + 4*p**2 + 10226*p - 311512 wrt p?\nAnswer: -6*p**2 + 8*p + 10226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -115 and -257.5?\nAnswer: 29612.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177368?\nAnswer: 2, 22171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15197?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1121011120 + -2110?\nAnswer: -1121021000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185074 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5830 and 2779744?\nAnswer: 1166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*u - 1. Suppose 6 = c + u. Which is bigger: c or 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j**2 - 6303*j - 54. Determine f(0).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2 = 2*y + 22, -2*y = 2*v + 16. Let f be 855\/21 - v\/14. Suppose -2*u + f = -w, 2*u - 40 - 11 = -w. What is the remainder when u is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 91*u**3 - 535*u**2 - 3475001 wrt u?\nAnswer: 273*u**2 - 1070*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 r when three letters picked without replacement from {z: 2, r: 2, e: 1, d: 8}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 9.5, -5, 5\/22, -1\/7, -0.11?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-6)*((-23)\/(-4) - 6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*i - 4 - 7*i - 428*i**2 - 427*i**2 + 857*i**2 as d*i + q*i**2 + s and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + s**2 + 3*s + 1. Let w(h) = -h. Let o(x) = -3*w(x) - z(x). Let m be o(2). Suppose 0 = 12*v - 4*v + 11*v. Solve v = n - m*n + 6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32921737 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/6, 0, 9, 438\/7, -47?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 29\/2 of a century?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 5*f = 138000. Round f to the nearest one thousand.\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34 + -687825.805\nAnswer: -687791.805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 + 237*x + 3006. What is m(-12)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 6. Let y be (-430)\/(-60) + -7 - (-18511)\/(-30). Let v = y - -617. What is the third biggest value in r, 2\/9, -1\/5, v?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 20*i. Let y(u) = 3*u. What is w(y(a))?\nAnswer: 60*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -7. Suppose g + 7*g - 552 = i. List the prime factors of g.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101934 is divided by 181.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3*c - 35. Let m(k) = -4*k - 53. Let n(f) = -5*m(f) + 7*u(f). Calculate the remainder when n(0) is divided by ((-10)\/(-15))\/((-4)\/(-42)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 10276938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*p + 40 = 0. Suppose -5*y = -15, -2*z + 10 = 4*y - 2. Suppose b - 30 = 2*x, z = -b - 3*x + 10. What is the remainder when b is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**3\/15 - 1286*r**2\/5 - 538098*r\/5 + 81629262\/5 = 0 for r.\nAnswer: -1023, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40158.\nAnswer: 2, 3, 23, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(1\/2))**(-2\/53)*(c*c*(c\/c**(2\/5)*c)\/c)\/c**1 assuming c is positive.\nAnswer: c**(419\/265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37 + 45. Calculate the lowest common multiple of b and 104.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - r - 104. Determine x(0).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1 + (-93)\/(-12) + 9\/36 is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of 1\/20*m**5 - 1\/6*m**3 + 0 - m**2 - 1\/10*m**6 - 10*m + 5\/12*m**4. Solve q(c) = 0.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1339 a factor of 468577694?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {o: 9, d: 2, n: 7}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 882200 times -24\nAnswer: -21172800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-87 + 37 + 44)*(-2 + 2 - 2*x) + 0 - 4*x + 0 + (-2 + x + 2)*(1 - 6 + 3) + 1 + x - 1 - 2.\nAnswer: 7*x - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n + 3. Let c(m) = 210*m - 133. Let s(h) = c(h) + 3*w(h). What is the derivative of s(k) wrt k?\nAnswer: 213","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - g + g + (-1 + 0 - 1)*(-g + 0*g + 0*g) + 2 + 2*g - 2 + 0*g + g - 3*g)*(4 - 2 + 2)*(3 - 2*g - 4 + 0).\nAnswer: -40*g**2 - 20*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 + 4 + 1)*(2*i - i + 2*i)*(55 + 53 + 46) in the form w + z*i and give z.\nAnswer: 6006","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 245 divided by 2.\nAnswer: 245\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -45*a + 60*a - 1950. Suppose -2*r = -10, a = -b + 2*b + 5*r. Does 5 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1405, -1501, -1671, -1921, -2257, -2685?\n\"Answer: -h**3 - 31*h**2 + 4*h - 1377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -14*z**2 + 22*z + 22. Let o(v) = 2*v**2 - 3*v - 3. Let w(x) = -6*l(x) - 44*o(x). Let q(f) = -3*f**2. Give q(w(h)).\nAnswer: -48*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9762841 milligrams to grams.\nAnswer: 0.0009762841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 571, 566, 561, 556, 551?\n\"Answer: -5*t + 576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*g**2*m**2 + 5776*g**2*m - 33*g**2 - 24*g*m - 11898*m**2 wrt g.\nAnswer: 8*m**2 + 11552*m - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1304 - -9747. List the prime factors of k.\nAnswer: 8443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 0.2, -0.04, -1\/5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -246310 = 37*o - 838308 - 822068. What is the greatest common factor of o and 388?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.03, 0.4, -7\/4, -2, 6\/11, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 113531 and 15829.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2. Let k(x) = 724373741*x. Calculate y(k(j)).\nAnswer: -524717316650335081*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/78*(14 - (-174)\/(-12)).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -98*h - 290, 4*t + 7*h + h = 4*h - 196 for t.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j + 5. Let p(i) = 1. Let q(d) = f(d) - 5*p(d). Let l(k) = 3*k - 1 + 1. Give q(l(h)).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 9) in base 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/(1296\/(-224))*1\/(-2) - -1.\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 16*a - 6. Let r be b(5). Suppose 6*i = 8*i - r. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 746, -4 in descending order.\nAnswer: 746, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - 3 - -4 - -2. Suppose -55 = -3*q - 5*w, 0*q + a*w + 35 = 5*q. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 28?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2530 and 385.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bzzb. Give prob of picking 2 b.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10376651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -9065443 less than -28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 106, 29 in decreasing order.\nAnswer: 106, 29, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 10*b - 56. Suppose -2*r - 24 = -5*r. Let z = r + b. Is z a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 30*q + 31*q + 244 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 9:04 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.2, -0.1, -7 in increasing order.\nAnswer: -7, -2, -0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 9:35 PM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -5*r**4 + 175*r**3 - 1830*r**2 + 5380*r - 4760 = 0.\nAnswer: 2, 14, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 10 + 18 = 0. Let p(u) = -u**2 - 8*u - 5. Let s be p(k). Let j(y) = -y**3 + 4*y**2 - 4*y + 3. Let v be j(3). Is v < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 239518 less than or equal to 239507?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 + 1 - (-9 + 19 + -1))\/(-40)?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1152053 a multiple of 210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 2 - 3)*(1 - 3 + 1)*(118 + 93 + 128)*(6*q + q**2 - 6*q - 6) as c*q**2 + x + z*q and give c.\nAnswer: -678","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 22049 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 48556 rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 751146352?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 5. Let z(l) = 2*l**3 - 3*l**2 - 7. Let k be z(3). Suppose -7*r + 12*r = -k. Is q at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1526 and -70084?\nAnswer: -106948184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 2325 - 1725. Calculate the remainder when q is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35a953 (base 14) in base 7?\nAnswer: -21411233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -4934*u - 19863. Calculate q(-4).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a decade in months?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -23153 + -20?\nAnswer: -23173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.971 + 1.029. Sort -1\/6, 0, k, -7.\nAnswer: -7, -1\/6, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*b**2 - 152*b**2 + 5 - 7.\nAnswer: -94*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44 + 56. Is l + 462 + (-5)\/1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0968 to 2 decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of t**3\/6 + t**2 + 5*t. Let c be b(0). Suppose 0 = -2*o - 2*o + c*i + 158, 0 = 3*o + 2*i - 115. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3770?\nAnswer: 2, 5, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32668 is divided by 324.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (35200\/(-25))\/(72\/42 + -2). Calculate the greatest common divisor of 168 and p.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 656\/131 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 3. Suppose v + 4 = i. Let t(r) = 3 + 0*r + 2 - i + r. Let m(n) = n + 3. Calculate -m(y) + 3*t(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in 48, 3535, -4, 1\/8, -2, -0.5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 25335 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -31 - 48398\nAnswer: -48429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 63238507 times -9\nAnswer: -569146563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1334.799863192 + -1334.8. Round d to 6 dps.\nAnswer: -0.000137","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 670 and 40468.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3416 divided by 244\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - p - 16, p + 12 = 3*i - i. Let y = -2 + 1. Let a = i + y. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 593.7 + -594. What is the smallest value in s, 1\/2, -3\/4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*a + 4. Let i(o) = o**3 - 9*o**2 - 2*o + 15. Let x be i(9). Let u be 2\/6*x + 6 - 4. Sort 3, a, u in descending order.\nAnswer: 3, u, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*x + 4 = -2*v - 45*x, 0 = 4*x + 8 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)*1*-1)\/(sqrt(245)*2).\nAnswer: -sqrt(13)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 680347?\nAnswer: 680347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/1827078 and -67\/116622?\nAnswer: 5481234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1.48752 milligrams?\nAnswer: 1487.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8429051*-0.09.\nAnswer: 758614.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 53 - 49 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 6 + (0 - (9 - 2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 2*z + 219 = 216, -3*h - 11 = -4*z for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 160 and 2345870?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100149548 is divided by 107?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36) - -2*sqrt(576))\/sqrt(12))**2.\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -4*n**2. Let r be p(-1). Calculate the remainder when (-44)\/12*(r + 1) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*f + 102*f = 55*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 22*g**2 - 23*g + 11. Let v be m(-23). Suppose -v - 17 = -4*u. Suppose 5*b = b + 44. What is the remainder when b is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27396.41 - -27172. Round z to the nearest 10.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 (base 7) to base 16\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 251 + -352. Suppose 4*b + 65 = 5*r, -10 = 6*b - 4*b + 2*r. Calculate the remainder when 5\/b*n + (-2)\/(-4) is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -189647 + 94825 - 248*m + 94822.\nAnswer: -248*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 3*s**4 - 3*s**3 + 3*s**2 + 6*s. Let j(w) = -3*w**4 + 2*w**3 - 2*w**2 - 6*w. Let f(y) = -3*j(y) - 2*x(y). Find the second derivative of f(v) wrt v.\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7.562456 hours?\nAnswer: 27224.8416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 5*u - 4 = 1, -3*u + 5 = -y. Let l(m) = 18*m**3 + 2*m**2 - m. List the prime factors of l(y).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*c**2 + 0*c**2 - c**2)*(483 + 898 + 1268)*(c + c - 3*c) as k*c + r*c**2 + a + y*c**3 and give y.\nAnswer: 13245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 2)*(41 - 23 - 139)*((-38*d + 24*d - 54*d)*(-d**2 + d**2 - 2*d**2) - 1 - 2*d**3 + 1).\nAnswer: 32428*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2625 - 2624.95999. Let f = 0.04 - x. Round f to 6 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 17 + 1 = 0. Which is the smallest value? (a) k (b) 0.2 (c) 3 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 - -420?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11111 (base 2) in base 3?\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/75 and 34\/105.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -210*a**3*d**3 + 3*a**3*d + 7*a**2*d**2 + 13*a*d**3 + 9*a*d**2 wrt a?\nAnswer: -1260*d**3 + 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*a*f**2 + 200946*a*f*l - a*l + 69*f**2*l + 45657*f**2 + l wrt a?\nAnswer: -4*f**2 + 200946*f*l - l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 = -252*v + 264*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bmrrbmmrrmbmmmbmaam. What is prob of picking 1 m and 2 b?\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*1206.6609.\nAnswer: -1206.6609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29680 and 1792?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 96 = 3*j. Let g(h) = h**3 - 6*h**2 - 4*h - 3. Let u be g(7). What is the lowest common multiple of u\/(-10)*60\/(-18) and j?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15629, -15657, -15695, -15749, -15825, -15929, -16067?\nAnswer: -16245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 50 times 20\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 58285, 116536, 174787, 233038, 291289?\n\"Answer: 58251*l + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 625376 is divided by 44658.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3. Let z(i) = i**2 + 4. Let d(o) = -4*k(o) + 3*z(o). Let t(h) = -4*h**2. Calculate d(t(q)).\nAnswer: 48*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612)\/((sqrt(108) + -2*sqrt(108))\/sqrt(9)))\/((2*(sqrt(243) - sqrt(243)*-1) - sqrt(243)) + sqrt(243)).\nAnswer: -sqrt(17)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 41764764 a multiple of 141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -70, 57, 3, 7298 in decreasing order.\nAnswer: 7298, 57, 3, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + b**2 - 6*b - 8. Let k be d(-6). Suppose 2*w + 2*w - k = 0. List the prime factors of w.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(44)\/sqrt(4)*2 + (sqrt(330)\/sqrt(6)*-2)\/sqrt(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3141476224 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 167*a**6 + a**3*n - a**2*n - 59*a**2 - 4 wrt a?\nAnswer: 20040*a**3 + 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 2, 3, -2 in decreasing order.\nAnswer: 3, 2, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -3\/29, -3, -13781 in descending order.\nAnswer: 2, -3\/29, -3, -5, -13781","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m + m + 4*h - 18, -h = -2*m + 1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 79104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 235\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6878, -6889, -6906, -6929, -6958?\n\"Answer: -3*x**2 - 2*x - 6873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -492\/119 <= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 13*o - 260. Let k be v(24). Solve -k*n + 44 = 7*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 32735*h + 32298*h + 5 - 11958*h.\nAnswer: 53075*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12414 + -12379. Solve 0 = 5*b, l*g - 8 = 31*g - 4*b for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 11594*z - 11594*z + 5*z**2. Let j(n) = -3*n - 9. Calculate h(j(v)).\nAnswer: 45*v**2 + 270*v + 405","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, 0, 2, 5 in ascending order.\nAnswer: -1, 0, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 105544271.7us in weeks?\nAnswer: 0.00017451103125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1800.25454 - -1800. Round u to 3 dps.\nAnswer: -0.255","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -299361 (base 12) to base 11\nAnswer: -4391a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2562559 to the power of 1\/2, to the nearest integer?\nAnswer: 1601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-16 + (-768)\/(-60))\/((-2)\/165) and 312.\nAnswer: 3432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of 4*f**3\/3 + 3*f**2\/2 + f + 8. Let r be b(-1). What is the tens digit of -4 + -4 + 67 + r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 0*j + 0*j)*(3 - 7 + 2)*(1 - 1 - 7).\nAnswer: 28*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 5967?\nAnswer: 29835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -1630*j - 1385634. Determine q(-850).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/24 and (5 - (-71)\/(-9)) + 4*1.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -686 + 2613. Let o be 4\/(-22) + z\/11. Let l = -35 - -60. Calculate the highest common divisor of o and l.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8640 and 216?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k - 276 - 31 + 79 = 0. Let i(v) = 4*v + 4*v - 7*v - 22. Give i(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*5\/12*(-70119)\/233730\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.08 - -19.48. Let w = -17.3974 + g. What is w rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**4 + 93748*m**3 - 93742*m**3 - 5 - 61*m**2 + 4 in the form g*m**3 + r*m + y + z*m**4 + c*m**2 and give c.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3*m. Let w(i) = -7032*i**2. Determine w(t(r)).\nAnswer: -63288*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 435860588 to the nearest integer?\nAnswer: 758","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 78\/14 + (-40)\/70. Suppose -3*n = -4*n - 5*f - 14, -3*n + m*f = -18. Solve 0*i - n = i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 19\nAnswer: -9.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 328060, 656328, 984596?\nAnswer: 1312864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 91.96 - 94. Round w to one dp.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1326798 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 224 = 223?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1164 or 656\/5?\nAnswer: 1164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -z. Let l = 6 - z. Solve -c - f = 1, 15 = -f + l*f for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -123 or 101\/5?\nAnswer: 101\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 87883.6 > 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*r + 0 - 140 = 0 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u**3\/4 + 7363*u**2\/2 + 18711*u\/4 - 16711\/2 = 0. Calculate u.\nAnswer: -34\/15, 1, 983","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 2 + 0)*4. Suppose 3*q - 2*q - 4*s = -12, 0 = -v*q - s - 31. Let p(t) = t + 8. Let i be p(q). Solve i*f = -3*f - 12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53479519?\nAnswer: 151, 354169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -278d (base 15) in base 12?\nAnswer: -4a8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 18180?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -94241*u**2*x**2 + 39887*u*x**2 + u*x wrt u.\nAnswer: -188482*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -962455487 * 1\nAnswer: -962455487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4049 + 9b0?\nAnswer: 4a19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -0*j + 40. What is the remainder when j is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102464 is divided by 1828.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - -8457362.\nAnswer: 8457362.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*j - 71*j + 4*j in the form l + v*j and give v.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 718*j - 66. What is the tens digit of t(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -353*c**3 + 8*c**2 + 195*c + 22. Let o(h) = 118*h**3 - 3*h**2 - 65*h - 8. Let g(u) = -8*o(u) - 3*z(u). Find the second derivative of g(a) wrt a.\nAnswer: 690*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1676.\nAnswer: 2, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 692 = -70*f, -20*f = 2*w - 21*f - 14 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 3:41 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 12 = 10. Differentiate -1 + 1 - v + 29*k**3 wrt k.\nAnswer: 87*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1089, -2390, -3905, -5634, -7577?\n\"Answer: -107*u**2 - 980*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/3)*n**7*n**1\/n**(-3))**(-10\/9) assuming n is positive.\nAnswer: n**(-310\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3*t - 10. Suppose -4*x - 9 - 1 = 2*c, 4*c = -5*x - 20. Let a be k(c). Suppose -3*n + 2*g = -75, 0 = -a*n + 4*g + 49 + 76. Is n a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 8:22 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1509596095.\nAnswer: 5, 7, 67, 643751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*11\/22*(-14)\/(-48) + 4472\/71552?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 d, 1 r, and 1 j when four letters picked without replacement from jddajdgdggdjadiddrjj?\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 32, 0.5, -21, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/3 + (-32)\/6. Let r = -0.4 - 0. Let k = 5.1748 + -4.6748. Which is the closest to 0? (a) y (b) r (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 3\/223, 2, -162 in increasing order.\nAnswer: -162, 3\/223, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a milligram in micrograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -479 + 885. Let v = t + -406.000000475. What is v rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 2 v, and 1 m when four letters picked without replacement from mttvvvmmttv?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/624 and 5 + 1407\/(-70) - -13?\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 11 = 11. Suppose 4 = r - 4*n, -8 = 3*r - 2*n - z. Let l be (r - 46\/3)\/((-4)\/18). What is the greatest common factor of l and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, v: 1, x: 2, i: 2, p: 1}. What is prob of picking 1 v, 1 x, 1 i, and 1 p?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-48))\/(4\/6)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 39*q**2 + 45*q - 82. Let l be n(40). Calculate the highest common divisor of l and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(72) + sqrt(72)*-3 + sqrt(72) + -3*sqrt(72)*5)**2*-1.\nAnswer: -18432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 148a5f (base 16) in base 3?\nAnswer: 2112101120011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1044648, -58\/13, -1\/2?\nAnswer: -58\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m + 5. Let r(c) = -c**3 - 4*c - 10. Let w be r(-2). Give l(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3056940 and 6120.\nAnswer: 6113880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -2*i + 18*y - 15*y, i + 21 = 4*y for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o - 2*o + 2*o**3 + 2 - 2 + 3*o**3 + 323*o**3 + 17*o**3 - 84*o**3 + (1 - 4 + 1)*(-3*o**3 + o**3 + 4*o**3).\nAnswer: 257*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 38906 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-36)*(-1)\/(-4)*2.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 a factor of 13032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6582926 (base 11) to base 2.\nAnswer: 101100000101001011001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(567) - sqrt(567)*-2) + sqrt(567))*-2.\nAnswer: -72*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 113 + 113. Does 13 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.815973ng to kilograms.\nAnswer: 0.000000000005815973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(225)\/(sqrt(125) + (sqrt(125)*2 + sqrt(125) - sqrt(125))))**2.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15567 is divided by 7742?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 3*g - 16 - 143, 0 = -g + 2*z + 50. Is 7 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.969 + 3.069. What is the closest to w in 0.33, -2\/7, -4, 4?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = 7*n - 6500000. What is n rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 6272*o + 77. Is y(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - r + 2268 = -1582, 5808 = 3*b - 4*r. Which is bigger: 1929 or b?\nAnswer: 1929","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 2*w = -10. Let m = 44.1 + -46. Let h = m + 1.8. Which is the third smallest value? (a) w (b) h (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -48*z**2 + 17*z - 17. Let q(y) = 17*y**2 - 6*y + 6. Let i(h) = 6*b(h) + 17*q(h). Let g(a) be the first derivative of -8*a**3 - 1. What is g(i(s))?\nAnswer: -24*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/21, 71, 5\/14, -0.1 in descending order.\nAnswer: 71, 5\/14, 2\/21, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of w**5\/60 - w**2. Suppose q(b) = 0. Calculate b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -72*f**4 + 3*f + 2 - 5*f**4 + 18*f + 1 + 2*f**3 - 6 in the form l*f + y + d*f**3 + n*f**2 + t*f**4 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 1. Let z = 118 + -142.2. Let h = z - -24. What is the second smallest value in -2\/5, t, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 9*o + 117. Let n(m) = 3*m. What is b(n(c))?\nAnswer: 27*c + 117","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 446072\/40 + ((-72)\/30)\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*(2*(0 - 1) + 3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 144*w - 149*w + 22, 0 = -5*w - g + 13. Sort 5, 336, w, -2 in descending order.\nAnswer: 336, 5, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 13 (b) -1 (c) -1\/1058 (d) 1\/6 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 61717\/21 + -2939. Which is the fourth biggest value? (a) -2\/9 (b) 2 (c) z (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 5:59 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u + 1. Let z be c(-5). Let k = 9 - z. Suppose -k*t = -13 - 8. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 3*o**2 - 5*o + 4. Let u be h(4). Let r = 64 + u. Suppose r = 5*c - c. Is c a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -123*u**2 - 183*u - 303. What is the derivative of x(q) wrt q?\nAnswer: -246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0146363 and 0.1.\nAnswer: -0.00146363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, m: 1, h: 1, s: 1, r: 1}. Give prob of picking 1 m, 1 h, and 1 j.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of -j**4\/12 - 19*j**3\/6 - 7*j**2 + 2325*j. Determine r(-17).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -300 + 302. Let h(r) = 17*r**3 - 2*r**2 - 2. What is the remainder when h(c) is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1318746.\nAnswer: 2, 3, 11, 13, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1643*s - 1614*s + 1058 = 275 for s.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*c = 19*c - 20, -b + 0*b = -2*c + 13 + 3 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3399, 0.02, -7\/6 in descending order.\nAnswer: 0.02, -7\/6, -3399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1500, -1597, -1864, -2385, -3244, -4525, -6312?\n\"Answer: -14*a**3 - a**2 + 4*a - 1489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 - 16) + (-4 - 0) + -7 + -2 - -9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**2 + 16*j**4 + 11*j**4 - 28*j**4 - 10*j**2 + 2 to y*j**2 + t*j + g*j**3 + x + q*j**4 and give y.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = 4*g + g + 2*d, -48 = -4*g - d. Suppose 124 + g = 3*i. Let b = -29 + i. What is the remainder when 29 is divided by b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in -2\/3, 3, -25, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of -c**5\/20 - 8*c**2 - 12*c + 2. Let q(u) be the first derivative of -3*u**2\/2 - 2. Calculate b(q(a)).\nAnswer: -27*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2 + 10510*b - 27615025.\nAnswer: -(b - 5255)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 26\/155 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 111000010011001011 (base 2) to base 16\nAnswer: 384cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2413375 (base 11) to base 8\nAnswer: -20027505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*(-762)\/(-54) - 9\/27. Let u be 1 + (63 - 0) + -1. What is the greatest common factor of t and u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191760 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 559869 is divided by 81.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 6, 3, -11, 10 in descending order.\nAnswer: 10, 6, 5, 3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.6417441 rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*v + 10000 - 4504 = 1892 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of o**7\/525 + o**6\/300 - o**5\/150 - o**4\/60 - o**2 + 15*o. Suppose b(a) = 0. Calculate a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of -d**5\/30 + 17*d**2. Let n(p) = -2*p. Give n(v(l)).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2041*h - 30321. Determine w(14).\nAnswer: -1747","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104028?\nAnswer: 2, 3, 8669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16962, 33857, 50752, 67647, 84542, 101437?\nAnswer: 118332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56544 by 228.\nAnswer: -248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 406381355?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, z: 3}. What is prob of picking 1 y and 1 z?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 262*a. Let h(l) = -38*l**2 + 30. Calculate x(h(g)).\nAnswer: -9956*g**2 + 7860","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 6, p: 2, o: 3, c: 3, n: 1}. Give prob of picking 1 p and 1 w.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1.33+599.2\nAnswer: 597.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c. Let q(y) = 2*y**2. Let f(l) = l**2. Let x(v) = -3*f(v) + 2*q(v). Determine s(x(i)).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77 + 73 = 11*c + 202 + 168 for c.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a minute in seconds?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a centimeter in micrometers?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011110011 - 11101?\nAnswer: 100011010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8244 and 6366?\nAnswer: 8746884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u - 6. Let i be n(-4). Suppose -z = 7*k - 2*k - 115, 0 = -2*k + i*z + 34. Is k a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-43 + 5)\/(1320\/(-1980))\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 12*l + 11. Let g(c) = -c - 1. Let b(x) = 5*g(x) + j(x). Let a be b(4). Let q = a - 12. List the prime factors of q.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kookokkkkokkkkkkoo. Give prob of picking 3 o and 1 k.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 13\/(-52) + 54\/(-8). Suppose 0 = 4*s + 4*c - 10 + 14, 5*s = 5*c + 25. Which is greater: s or g?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 5. Let i(f) = -143 + 4*f + 72 - 3*f - 2*f + 71. Let r(j) = -j**2 + 9*j + 2. Give q*r(u) - 18*i(u).\nAnswer: 2*u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3738607*q**5 + 14937474*q wrt q.\nAnswer: -74772140*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 198040277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a centimeter in millimeters?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(51)\/sqrt(3) + -3)**2 + 5)*-2 - (2*sqrt(153)*6)\/(5*sqrt(9)*-1).\nAnswer: -62 + 72*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 10638413 and -1313.\nAnswer: 10637100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j - 4 + 4)*(0 + 0 + j).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/2992 and 47\/19536?\nAnswer: 332112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2834784 and 36.\nAnswer: 2834784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -4*z**3 - 8*z**2 - 2127*z - 12718. Calculate n(-6).\nAnswer: 620","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/6*(87\/4)\/(-29)*-6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33985 + 33984.999940121. Round h to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 4c7?\nAnswer: 4c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(624)\/(sqrt(60)\/sqrt(5)).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*f - 480 + 522. Let m(x) = -x**2 + x. Let d be m(1). Solve d = f*l - 11*l - 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/11)\/w**(-4)*w**(-2\/9)\/((w\/(w\/(w**(3\/10)\/w)))\/w))**(-12\/7) assuming w is positive.\nAnswer: w**(-11206\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3*u - 48. Let m be l(-26). Solve -2*i - m = 5*s, s = -4*s - 5*i - 45 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5*j - 4. Let h = 39 - 31. Calculate the remainder when v(h) is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1384854 + 1560443.\nAnswer: 175589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -9253, -7609, -5971, -4339, -2713?\n\"Answer: -3*g**2 + 1653*g - 10903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/20 - (0 + 1\/28)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -53*i + 8 + 45 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -318 by -106.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 27777 - -a0b?\nAnswer: 28586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -7*u**2 - 4. Let w(a) = -10*a**2 - 6. Suppose -v = 2*v - 15. Suppose 0 = -v*h - 9 - 16. What is h*w(g) + 7*p(g)?\nAnswer: g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -44.8 - -44.8. Suppose -n - n + 10 = 0. Which is the nearest to 2\/25? (a) z (b) -0.2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 195? (a) -3.6 (b) 4 (c) 21 (d) 2 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 833683.\nAnswer: 31, 26893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/795 and -1\/33?\nAnswer: 8745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + 1. Suppose 4*c - 24 = -3*r, c - q*r + 17 = -0*r. Solve 4 = c*t - 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28\/27 - 17\/270. What is the common denominator of -89\/12 and j?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 104*w**3 + w**2 - 1. Suppose 4*m = -5*r + 13, 4*m = 5*r + 4 - 1. Let b be z(m). Suppose 5*u = -3*k + 800, 6*k = 5*u + 2*k - b. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 14 = z - 2*l, l = 4. Let o(n) = -n**3 - 4*n**2 + 4*n - 5. Let g be o(-5). Suppose 0 = d + 1 - 2. Put z, d, g in ascending order.\nAnswer: g, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 937744*m**2*q**2*s - 59*m**2*q*s - 2*m**2*s - 3*m*q**2*s + 472*m*q**2 - 9*m*s + q**2*s + 15*q*s - 1 wrt m?\nAnswer: 1875488*q**2*s - 118*q*s - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 291 = -36810*l + 36815*l - 64*w, 0 = 8*l - 3*w - 68 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2353*m = 4927*m - 2471*m. Solve 26\/7*a**4 + m + 8\/7*a**5 + 2\/7*a + 30\/7*a**3 + 2*a**2 = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110010 + -10100?\nAnswer: 11110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -81*t + 28*t - 92*t + 23*t - 75*t + (-3 - 2 + 2)*(3*t - 3*t + t) to the form b + k*t and give k.\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 42 + 26. What is the third derivative of -9*i**2 - h*i**6 - 1605 + 1605 wrt i?\nAnswer: -2040*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2773*g**3 + 4*g**2 - 3*g + 3. What is the units digit of x(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10886376766 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2066*f - 6648 + 35572 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 240\/(-104)*24\/(-96)*4\nAnswer: 30\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.02 + -3. Let t = d - -0.08. Sort 3, t, -0.1 in increasing order.\nAnswer: -0.1, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -2*o + 7*z + 418, -o - 4*z = -203. Suppose -a + 115 = 3*r - 96, 0 = 3*r - 3*a - o. What is the greatest common divisor of 28 and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 24647 (b) 7 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 36403 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -13*i**3 - 15*i**2 - 11*i + 47. Let y(z) = 7*z**3 + 8*z**2 + 6*z - 23. Give 6*s(r) + 11*y(r).\nAnswer: -r**3 - 2*r**2 + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -3, -2, 4, 39 in descending order.\nAnswer: 39, 4, -2\/3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of -f**6\/120 - f**5\/20 + 5*f**4\/24 + f**3 + 3*f**2. Calculate h(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20881*f + 80651*f + 30857*f.\nAnswer: 90627*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 1:48 AM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 6*v + 2 + 7 - v**3 - 8*v**2 + 2*v**3. Let j be -3 + 10*2 + 10 + -12. Let u be 56\/(-12)*j\/(-10). Give g(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 9, f: 9}. Give prob of picking 2 f.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/7 + 18*y**2\/7 + 108*y\/7 + 216\/7.\nAnswer: (y + 6)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -146*y - 872. Let f be n(-6). Solve -v + f*h = -4*v - 10, -v - 3*h = 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**12\/o**(-3\/25)*o**(-31)*o**(-1\/8)\/o assuming o is positive.\nAnswer: o**(-4001\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 6, -5, -2.\nAnswer: -5, -2, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**(-17)*k))\/k**0)\/(k**(-2\/19)\/k*k*k**(-8\/9)) assuming k is positive.\nAnswer: k**(2906\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 851 and -303176478.\nAnswer: -303175627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.4 (b) 36 (c) -1 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.95 - -6. Let j = m - -0.45. Suppose -g - 15 = -16. Sort j, g, 4 in decreasing order.\nAnswer: 4, g, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 983212?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2072444 is divided by 168.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -1\/4 (c) -0.4 (d) -50\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrrl when four letters picked without replacement from rylyryryy?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 2*z - 1. Let s = z - -10. Calculate the remainder when s is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4789251, -4789245, -4789239, -4789233, -4789227?\n\"Answer: 6*n - 4789257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24313 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 13 + (-4 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -y**8\/336 + 7*y**4\/24 + y**3 - 3. Let q(p) be the third derivative of t(p). Differentiate q(v) with respect to v.\nAnswer: -20*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - 1. Let p be l(-1). Suppose p = 4*v + 12, v + v + 84 = 3*c. Suppose -3*u + 4 + c = 0. What is the remainder when 29 is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4e9ec0 (base 15) in base 13?\nAnswer: a2467a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (325\/(-975))\/(3\/27).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*u - 4*u - 12*u)*(2 - 1 + 1)*(-2 - 3 + 3)*(26 + 35 - 23) as w + a*u and give a.\nAnswer: 1520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*h + 494*h - 11266 - 7789 = 39*h for h.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 72975887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20337 is divided by 226?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -53 + (-417 - -453).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 20 = -3*h. Suppose h*y = 10*y. Solve 3*k + 3*b = 0, -k - 15 = -y*k - 4*b for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28 or -7\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8320)\/(-12) - 32\/24)*-1. Let h = 692 + l. Solve -4*f - 3*q - 4 = 0, h*f + f + 2 = -q for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32*-0.2.\nAnswer: 6.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by 6.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-90)\/75)\/((-20)\/(-600))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 1953*k - 134. Let x(y) = 1954*y - 101. What is -3*r(l) + 4*x(l)?\nAnswer: 1957*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.7*0.008\nAnswer: -0.0056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 - 5 + 3)*((1 - 2 + 3)*(-14*c + 5 - 5) + 0*c + 2*c - c) in the form h*c + n and give h.\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -49 + 213. Suppose -y = -i + 15. What are the prime factors of i?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 8*t**2 - 14*t + 53. Calculate the remainder when r(6) is divided by 88.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62968 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 862.9118cm?\nAnswer: 8629118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of 173 + 13\/6*r**3 + 2*r**2 + 2*r + 203\/12*r**4. Find the second derivative of o(b) wrt b.\nAnswer: 406","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.7, 7, -1.7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1657708.\nAnswer: 2, 13, 71, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2882721599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -3*b**2 + 4*b - 46. Let z(q) = 14*q + 16*q - 29*q. Let u(d) = -c(d) + 3*z(d). What is the second derivative of u(x) wrt x?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sns when three letters picked without replacement from nsnsnssssnsn.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3963 (b) -0.1 (c) 0 (d) -4\/5 (e) 5 (f) 2 (g) -6\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0*((-5)\/3 + 2). Let f be ((-54)\/(-45))\/(2\/5). Let h = f + n. Solve c + h*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 4*u - 19, 0*u + u - 9 = -4*l. Solve -4*p - 5*h + 14 + 3 = 0, h = l for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**9*v**(1\/5))**27 assuming v is positive.\nAnswer: v**(1242\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4 - -1) + -4)\/(-2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -60, -55?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 33, -4, -2, 11 in decreasing order.\nAnswer: 33, 11, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/3 of a hour?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(7))*-4 + 1 + -5 - ((-4*sqrt(567) - sqrt(567)) + 0 + -2).\nAnswer: -2 + 41*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 20\/3*(85\/(-10) - -7)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 0 = -i - 2, -1 = 4*i - 3*s for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a minute in milliseconds?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 44.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123784174?\nAnswer: 2, 17, 3640711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 416?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - 26 - 1 - 7.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.086 and -62.\nAnswer: -62.086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a. Let o(u) = u + 5. Let k be o(-4). Let j(m) = -m - 1 + 3*m + k. What is l(j(i))?\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -2\/13 (c) 1\/2 (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -52 + 6?\nAnswer: -4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -140*n + 1014 - 1325 - 465 - 2024 for n.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (20 + 0)*6\/15. Suppose -2*f + f - 14 = 0. Let i = g - f. Does 11 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*y + 564 = 118*y + 65*y for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 121*z + 218. What is the units digit of b(23)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -794, -1579, -2364?\n\"Answer: -785*w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, k: 2, h: 1, p: 1, r: 1, l: 1}. What is prob of picking 1 p and 1 e?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/23473 and 1\/1144.\nAnswer: 26853112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*d - 2650 = 98*d + a, 3*d - 3*a = -1590. What is d rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5530 (base 13) to base 10.\nAnswer: 11869","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -5*c - 0*c + 27, -3*s = 4*c - 26 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 2679*c**2 + 26*c - 24*c - 91*c**4 - 2675*c**2 to the form q*c**2 + l + i*c + t*c**4 + y*c**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.5 + 0.6. Let l = 369.458 - 0.458. Let g = l - 370. What is the nearest to -2\/3 in g, -1\/4, x?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -7*c**6\/3 - 10*c**3\/3 - 4. What is the third derivative of g(a) wrt a?\nAnswer: -840*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 14 = -11. Suppose -h*x + 20 = -5*p, 4*p + 13 = 3*x + 2*p. Solve 2*y - 10 = -2*o, 10*o - x*o - 5 = 5*y for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -4.2\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -16. Let y be (-4)\/22 - t\/(-11). Let z(k) = k + 12. Let u be z(-8). Solve -g + u = -y for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of ((-216)\/(-10))\/(6\/20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -22\/3, 2\/17, 81.882 in increasing order.\nAnswer: -22\/3, 2\/17, 81.882","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + 3*v + 3. Let h be w(-3). Let k(b) be the first derivative of 2*b + 4 - 1\/2*b**2. What is k(h)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 135\/(-6)*(-40)\/(-90).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -2.1. Let r = 14 + -10. Let g = 2\/103 + 305\/206. Which is the closest to u? (a) g (b) r (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -474 * 3\nAnswer: -1422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/58275 and -139\/1820?\nAnswer: 3030300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27*1122\/2754*(-7)\/((-77)\/30)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -70 - -349\/5. Let f = -594\/7 + 85. Let l = 503 + -499. Which is the third biggest value? (a) f (b) v (c) l (d) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -19*y. Let k(t) = t. Determine 4*k(q) + z(q).\nAnswer: -15*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of 9 + 0*s**2 + s + 1\/48*s**4 + 0*s**3. What is k in a(k) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r + 1 + r + r**2 - 6*r. Let c be n(5). Let t = -1465\/9 - -163. Put c, t, 0 in ascending order.\nAnswer: c, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*p**2 - 4520*p - 75684 = 0. What is p?\nAnswer: -1113, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 12 = -9*c, 3*o - 3*c - 6 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/2*14948\/185. Let t = -183 - m. What is the remainder when 68 is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -236*q + 232*q + 96. Suppose -q*g - 21*g + 450 = 0. Calculate the highest common divisor of g and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 185 + -17. Let p(t) be the first derivative of 5*t**2\/2 - 6*t + 8. Let b be p(6). What is the greatest common divisor of b and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llnl when four letters picked without replacement from {c: 2, n: 6, l: 5}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zbk when three letters picked without replacement from {b: 5, k: 6, j: 3, z: 2, g: 2}?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8 + 12 - 78*k - 2 + (-1 + 3 + 0)*(0*k - 2*k + 4*k).\nAnswer: -74*k + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v + 4431 + 1959 = 0. Calculate the smallest common multiple of v and 2982.\nAnswer: 2982","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19526849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 196605 + -33a?\nAnswer: 196276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -5*j + 5*w, 3*j + w = -2 + 15. Suppose 92 = j*q - 2*d + 5*d, -3*q - d + 52 = 0. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of -19*y**6\/5 + 7*y**5\/20 + 2034*y**2 + 32*y - 61. Differentiate x(s) with respect to s.\nAnswer: -456*s**3 + 21*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -20, -29, -40, -53?\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(21)\/(sqrt(7) + sqrt(700) + 1*sqrt(700)))**2.\nAnswer: -587\/147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3*p**2 - 3*p. Let x(j) = -j**3 + j**2 + j. Let v = 1116 + -1118. What is v*f(s) - 6*x(s)?\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -118 - (-203 - (-73 + -45)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -155670, -311459, -467372, -623409, -779570, -935855?\n\"Answer: -62*k**2 - 155603*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 14*t**2 - 18*t + 70. Suppose -3*a = 5*p - 34, -2*a + 9*p + 28 = 7*p. Let g be n(a). Solve -3*d - 3*f - 21 = 0, 3*d + 6 = g*d - 2*f for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 10 - 5. Suppose 2*o - 9 = 5*o. Suppose 3*b - 13 = -4*u, 458*b = 5*u + 457*b + 17. Sort q, u, o, 3 in decreasing order.\nAnswer: 3, q, u, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 513667?\nAnswer: 7, 11, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10659*p + 10869*p - 1470 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-1))\/(7500\/(-198750))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -4.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 368764627?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.92115*0.2.\nAnswer: -0.38423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + h)*(0*h + 20*h**4 + 2*h - 2*h**4).\nAnswer: 18*h**5 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v**4\/3 + 3715*v**3\/3 - 3730*v**2 + 20*v\/3 + 14920\/3 = 0 for v.\nAnswer: -746, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 5*p = 83, -254*n + p = -258*n + 87. Suppose -2*m + 12 = 2*m. Suppose 3*v = u - n, -2*v = 3*u - m*v - 34. Does 2 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 116350225 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence znd when three letters picked without replacement from {z: 1, d: 1, n: 1, q: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/3016 and -39\/32.\nAnswer: 12064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 23944027 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j - 7 + 7 = 0. Let g(w) = -w**3 + w**2 - 3*w - 20. Let z be g(j). List the prime factors of (-6192)\/z + 16\/(-10) + 2.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49333?\nAnswer: 49333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of 223*k**3\/3 + 1247*k**2 + 2*k - 1761. Find the second derivative of w(i) wrt i.\nAnswer: 446","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -2 - 8. Let y be (14\/35)\/((-1)\/x). Find the third derivative of 3*v**2 + 4 - 2*v**3 - y - v**3 wrt v.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -14*w - 90. Let b(c) = 26*c + 193. Let o(x) = 3*b(x) + 7*y(x). Calculate o(-4).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/(-16) - 12\/(-48).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 6686*y**2 + 5*y - 915. Let z(r) = 220636*r**2 + 164*r - 30196. Let p(u) = 328*t(u) - 10*z(u). Find the first derivative of p(a) wrt a.\nAnswer: -26704*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j - j + 3*j)*(1 - 3 + 0)*(-85*j + 244*j - 88*j) to the form k*j**2 + s*j + v and give k.\nAnswer: -568","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 8*r - 1. Suppose 545*n = 549*n + 8. Determine s(n).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 84.9187686 to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 9*i - 10. Let w be b(7). Suppose w*s = 3*r - 24, s - 41 + 14 = -2*r. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + 6*i + 3. Let k be o(-2). Let m = 10 + k. Suppose 4*s - 1 = -5*q + 1, -m*s + 19 = -2*q. Solve -v = s - 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of 2*n**5\/15 + 20*n**4\/3 + 76*n**3\/3 + 112*n**2\/3 + 74*n\/3 + 648. Solve c(k) = 0 for k.\nAnswer: -37, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 293304 and 4488.\nAnswer: 4986168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21190*d**2*g**2*k - 2*d**2*g - 2*d**2 - d*g**2*k + d*g**2 - 17358*d*g*k - d*g - 2*d*k wrt d.\nAnswer: 42380*g**2*k - 4*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (306\/45)\/17*-25?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0050287 to four dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.08 + -92.92. Let h = q + 89.8. Let l = h + 8.2. What is the third biggest value in 4, l, 0.3, -14?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2037*z. Let t(u) = u**2 + 110*u. What is f(t(n))?\nAnswer: -2037*n**2 - 224070*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115764?\nAnswer: 2, 3, 11, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 18 = 4*g + i, 0 = -3*g + 5*i + 7. Suppose 0 = r + 2*r. Suppose 5*q = g*z + 179 - 31, r = -2*z + 6. Is q a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 4*c + 237, 3*y - 918 = -y - c. Let g = 451 - y. Let u be 4\/14 - g\/42. Put 3, 4, u in ascending order.\nAnswer: u, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 11:46 AM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3557*f + 5111. List the prime factors of d(7).\nAnswer: 2, 5, 3001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 u when three letters picked without replacement from {l: 1, u: 12}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 63497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 9:26 PM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 6*z**2 - z - 8. Let s(i) = -2*i**3 + 6*i**2 - i - 9. Let n(t) = -3*h(t) + 2*s(t). Let k be n(-6). Solve k - 15 = -3*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 13\/5 of a micrometer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1389 + 2464*c + 1356 - 2745 to the form j*c + n and give j.\nAnswer: 2464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/1321 - -7940\/9247. Find t such that 0 + 6\/7*t**5 + r*t**2 + 0*t - 6\/7*t**4 - 6\/7*t**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 13250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - 9*i**2 + 9*i - 3. Let j(s) = 2*s**2 + 4*s + 2. Let c be j(-3). Let m be y(c). Find the second derivative of 2*g**m - 4*g + 5*g - 3*g**5 wrt g.\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -22814, -26945, -31076?\n\"Answer: -4131*q - 18683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 216776 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212476?\nAnswer: 2, 11, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by -13450972?\nAnswer: -11\/13450972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12165*v**2 + 12169*v - 4 = 0. Calculate v.\nAnswer: 4\/12165, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 - 19. Which is the smallest value? (a) z (b) -1 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 5*d**2. Let b(c) = -c - 4041. Calculate t(b(w)).\nAnswer: 5*w**2 + 40410*w + 81648405","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 11*i**2 - 5*i + 10. What is o(2)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3*k = -4*h + 205, 5*h + k - 263 = 0. Suppose 4 = 2*n, -2*n + 72 = 2*g - h. Is 15 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 9*x**4 - 78*x**3 + 191*x**2 - 70*x - 46. Let u(l) = l**2 + l + 1. Let o(f) = q(f) - 2*u(f). Factor o(j).\nAnswer: 3*(j - 4)**2*(j - 1)*(3*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.838 + -3.845892. What is a rounded to four dps?\nAnswer: -0.0079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3843)\/(-108))\/(-61))\/((-1)\/4)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 9:54 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8491.9990562 + -8492. What is v rounded to 5 dps?\nAnswer: -0.00094","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1488352364.\nAnswer: 2, 787, 472793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = -3*a - 136. Let q = -2 + a. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -56ac - 0?\nAnswer: -56ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 170146, 170079, 170012, 169945, 169878, 169811?\n\"Answer: -67*d + 170213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.010145 to three dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 1. Suppose q = 3*q - 34. Suppose -5*n = q + 18. Let k(t) = t**2 + 6*t - 6. Let s be k(n). Let l(d) = 3*d**2 - d. Give s*l(y) - 2*g(y).\nAnswer: y**2 - y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*p**2 + 7*p**2 + 38*p**2.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -45.1 - -53. Let g = -8 + l. Suppose 0 = u - 4*u - 15. Which is the second biggest value? (a) u (b) 1\/6 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 2461200?\nAnswer: 2461200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (16\/24)\/(2\/12 + 0). Suppose -p = -3*l - 1, 3*p = p - v. Let k be (-2 - (-1 - 5))\/l. Sort k, 1, -3, 0 in increasing order.\nAnswer: k, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 30512 - 2?\nAnswer: 30510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4764 divided by -1191.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 0 - (-400 + (-4 - (-4 - -2))) is divided by 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-535*a + 129*a - 864*a)*(1 - 2*a - 1) to the form z*a**2 + q + r*a and give z.\nAnswer: 2540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002219 to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -12928, -12927, -12926?\n\"Answer: m - 12929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.39 - -0.11. Let z = 5.4 + -1.4. Put p, -4, z in descending order.\nAnswer: z, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 9:06 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*f**2 - 3 + 2*f - 17*f**2 + 2 - 9*f**2 to y*f + j*f**2 + h and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 25 = -5*g, -h + 5098*g + 11 = 5096*g for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 73304339 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002684947623 rounded to four dps?\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 33814 + 125786. What is h rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189494 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4725*c**4 + 60*c**3 + 12247*c**2 + 33 wrt c.\nAnswer: -113400*c + 360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, v: 6, c: 1, m: 1}. What is prob of picking 1 c and 1 m?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -141, -244, -347, -450, -553, -656?\nAnswer: -759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -36756.443 rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/60*(-4)\/10.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6010*b = 5978*b + 1067200. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 5) in base 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**4 + 0*i**4 + i**4)*(0*i + 4*i - 3*i) - 2*i**5 + 43*i - 2*i**2 + 2 - 81*i + 35*i.\nAnswer: -4*i**5 - 2*i**2 - 3*i + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/9)\/(46\/207). Solve -5*l + x + 45 = 6*x, v*l - 28 = -4*x for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -64 - -106. Let u(r) = -r**3 - 5*r**2 + 6*r + 3. Let a be u(-6). What is the second derivative of 2*z**2 + 8*z**a - 2*z**2 + 36*z - o*z wrt z?\nAnswer: 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -64245 in increasing order.\nAnswer: -64245, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 819.8739 millennia to years.\nAnswer: 819873.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1*45\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of 2*n**5\/5 - n**3\/3 + n**2 + 9*n. Let z be 2 - 3 - (-9)\/3. Let a(x) = -3*x**2 + x**2 - x**z + 2*x**2. What is a(y(j))?\nAnswer: -576*j**4 + 96*j**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-88946)\/(-572) - 134)*((-4)\/(-6))\/(1\/(-3)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006317 rounded to 6 decimal places?\nAnswer: -0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h + 3467 = -7393. List the prime factors of h.\nAnswer: 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44 - 45 + 18*y - 42 + 193 - 42.\nAnswer: 18*y + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-24)*-2 - 296\/(-48). Let d be (4 - 4)\/(t\/3). Factor d*h - h**3 - 1\/2 + 3\/2*h**2.\nAnswer: -(h - 1)**2*(2*h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(325) + sqrt(325) + -2) + 1 + sqrt(325) + -2 + 4)**2.\nAnswer: -1650*sqrt(13) + 39550","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 - 2*i**2 - i**2)*(697 + 52*i**3 - 697) + (1 + 2 - 4)*(i**4 - 2*i**5 - i**4).\nAnswer: -50*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**5 - 2379*u**4 + 262029*u**3 - 7689465*u**2 - 7953876*u = 0 for u.\nAnswer: -1, 0, 63, 668","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 85.999426 - 86. What is k rounded to five decimal places?\nAnswer: -0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/8087325 and -179\/120?\nAnswer: 64698600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = 2*m - 20, -3*k + 7*m + 7049 = 7065 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7944 and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 18. Let f = 14 - m. Solve f*z = 3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-6 + 0 - (6 + -10))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) -0.5 (b) -1\/6 (c) 0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9814 + -499. What is the thousands digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - 17*r - 6. Let k be m(-12). Suppose 0*i - k = -2*i. What is the remainder when 105 is divided by i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31475 - 7825 = 1075*r for r.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 104509460 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - y**2 - y - 3286. Let d be h(0). Let m be d\/4 + (-8)\/16. Let w = m - -2445. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11211211 (base 3) in base 13?\nAnswer: 17b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14010411 is divided by 3502594.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 - -23 - ((-9 - 4) + 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0713 + -9.9287. Sort 2, -4, 0.3, y in ascending order.\nAnswer: y, -4, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 4:16 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(1300) + sqrt(1300) + 1*(-4 + sqrt(1300)))*-4 + -3 + 3*(sqrt(1300) + (4*sqrt(1300) - sqrt(1300))) + sqrt(1300) + 3))**2.\nAnswer: 8000*sqrt(13) + 38900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 8bd0 (base 15) to base 3\nAnswer: 1111200220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 14.3, 0.5, -0.8, 0.18, 0, -6\/37?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -18*q**2 + 4*q - 4. Let k be (6\/8 - 0) + (-37)\/(5032\/(-170)). Let a(r) = -6*r**2 + r - 1. What is k*o(p) - 7*a(p)?\nAnswer: 6*p**2 + p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 732 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2462?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (52\/(-12) - -4)*((-7)\/(-7) - 8)\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 78 - 5\/((-10)\/6). Suppose -4*z + 3*r + 34 = -o, 60 = 3*z + 3*r. Factor z*w**3 - 20*w**2 - 2 - 10*w**4 - 5*w**3 + 6*w + 4*w + w**5 + w**5.\nAnswer: 2*(w - 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15925*y**2 - 2158 + 2158 + 15922*y**2.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10*(-13125)\/(-40) + 1. Let s = p + -3299. Let t = s - -17. Which is the nearest to t? (a) 0.6 (b) 2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17939\/9 - 1991. Let z = 3002 - 29983\/10. What is the common denominator of u and z?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v - 661970*v**3 + 4*v - 4*v.\nAnswer: -661970*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 divided by 101665?\nAnswer: 82\/101665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 158.2805 rounded to 1 dp?\nAnswer: 158.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a second in microseconds?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 104093083 to the power of 1\/3, to the nearest integer?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7746a8 (base 14) in base 7?\nAnswer: 46250601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 412645 divided by 5.\nAnswer: 82529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 33720 divided by -3?\nAnswer: -11240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24)\/(sqrt(6)\/sqrt(3)))\/(sqrt(27)*6))\/((sqrt(288)*4)\/(sqrt(9) - ((sqrt(81)*-2)\/sqrt(9) + sqrt(9)))).\nAnswer: sqrt(2)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**1)**12\/(h**(-3)\/(((h**(-8)\/h)\/h)\/h*h)))**(3\/11) assuming h is positive.\nAnswer: h**(15\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.4 - 19.2. Let v = -12.794 - m. What is v rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-21) + 33\/(-7). Let r = x - -13. Suppose -5*z = -16 - 9. What is the remainder when r is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 + 17 - 40)*(82 + 66 - 37)*(-6*p + 2*p + 2*p).\nAnswer: 888*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 108 - 105 - (2 + 8 - 3) - 18.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**6)\/(d*d**(4\/5)\/d))**(-1\/3)*d*d\/(d*d**(-2\/11))*d**(-1\/14)*d*d**(-4)*d**(-1)*d assuming d is positive.\nAnswer: d**(101\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (176\/806 - 20\/(-1430)*-11) + 18178\/4619. Determine n so that 1\/8*n**y + 9\/2 + 15\/2*n + 13\/8*n**2 - 5\/4*n**3 = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 + -16. Suppose 3*t + t = -76. Find the common denominator of 2 and t\/10 + l + -8.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v - 3*v = 11*v. Suppose -5*x - 2*u + 91 = v, u = 4*x + 5*u - 68. Is x a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.59 and -2.\nAnswer: -0.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 23*q**2 - 7*q - 5. Let z be s(-4). Let j = -76 + z. What is the highest common divisor of j and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w - 115 + 135 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -326*y + 71*y - 188*y - 47*y.\nAnswer: -490*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 889\/537 - -2\/179. Let u = 5 + -16. Let m = u - -13. Which is the biggest value? (a) m (b) 0.02 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2250)\/20*(-44)\/(-66)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6912\/7 - 3\/7*u**2 + 288\/7*u = 0 for u.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from wwwhwwwwhwwhwwwwww.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156417959.\nAnswer: 631, 247889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2127557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -13*d**3 + 298*d**2 + 61*d + 99. Let x(t) = 4*t**3 - 94*t**2 - 20*t - 33. Let l(u) = 5*n(u) + 16*x(u). What is l(-13)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 2 (b) -0.2 (c) 2\/17 (d) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14 or 2?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 18286.546 rounded to the nearest 10?\nAnswer: 18290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4235 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/2*(0 - 4\/36).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 71 + 3. List the prime factors of y.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2. Let o(k) = -4*k - 2. Let b(h) = -5*h - 3. Suppose 3*n = -4 - 5. Let m(d) = n*o(d) + 2*b(d). Determine q(m(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/1 - (-1 - 0). Suppose -6*z + 990 = -2*z - h*l, -z + 242 = 5*l. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 6:38 AM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 193*q**2 + 183*q + 52. List the prime factors of r(15).\nAnswer: 2, 11, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 129.77 + 2.23. Let i = u + -132.69. Let m = -0.31 + i. Is 0.06 less than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 201942270 and 270?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 30*z**2 + 2*z - 2. Let f(x) = -4*x**2 - 7*x + 10. Let p be f(1). Let r(d) = d**2 + d - 1. Determine p*g(a) + 2*r(a).\nAnswer: -28*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28308 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 35 - 16b3b?\nAnswer: -16b06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 6*o + 17. Let k be j(-2). Let y be (-8)\/(-4) + 3691*5539. Suppose -90255549 - y = k*n. What is n rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 317 is divided by 121.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 4*r = 0, 0 = d - 2*r - 2 + 6. Is (d - 185\/10)*-4 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b - 32. Let p be h(17). Suppose 0 = -v - j + 6*j - 5, -3 = -v + j. Let t(a) = -a**3 + 0*a**3 + 4 + 6 - 3 - v*a**p + a. What is t(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 2 + 18\/(-1). Suppose 5*f + 380 = -7*f + 200. Is f less than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -3, 68, -1.\nAnswer: -3, -1, 1, 3, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41789, 55767, 69745, 83723?\nAnswer: 97701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 4*t. Let v(a) = -8*a**2 - 5*a - 8. Give v(k(c)).\nAnswer: -128*c**2 - 20*c - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*y + 6. Suppose -5*p - 29 = -2*b, 5*b + p = 28 + 85. What is the smallest common multiple of b and -66*((-10)\/y + 3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -246\/19 - -1684\/133. What is the second smallest value in -2\/3, -3, z, -0.065?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 7*a + 6 + 4)*(1 + 0 + 2) - 2*a + 4*a - 3*a + a - 5 + 5 + (2 + 0 - 3)*(3*a - a - 3*a) + 2*a - 3 + 3 + a + a + 0*a to p + r*a and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a millennium in months?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28428 + -28426. Let o = 1 + 1. Solve -o + 4 = g*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h - 5. Let s be 2 + -15 - 2\/(-2). What is q(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 165 = -u - 195, -4*m - 24 = 3*u. Which is the nearest to 5? (a) -12\/31 (b) u (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + (-1 + -14)\/765)*9?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14596891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + o**2 - o + 1. Determine n(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9391.78mm in micrometers?\nAnswer: 9391780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*h + 0*h - h)*(2*h + h - h) + (-2*h - h + 2*h)*(-21*h + 53*h + 27*h)*(-23 - 20 - 3) to the form f + c*h**2 + q*h and give c.\nAnswer: 2712","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -4*q - 12. Let d be b(-4). Suppose -85 = -4*c - o, -3*o = d*c - 13 - 66. Is (398 + -1)*66\/c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f - 5, -146 = -207968*h + 207964*h - 6*f for h.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 s when three letters picked without replacement from sjasf.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3527?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -60, -104, -160, -234, -332, -460?\n\"Answer: -n**3 - 37*n - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -141028890 rounded to the nearest 100000?\nAnswer: -141000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/(-4))\/(4\/(-288)). Suppose 3*o + 21 = g. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -59 - -142. Suppose r + 70 = 3*u. Does 34 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1198*i - 622*i - 650*i in the form q*i + b and give q.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 3*d - 31, 0 = 3*l + 2*d + 2*d - 36. Suppose -6*r - 98 = -l*r. Let z = -31 + r. Calculate the highest common factor of 6 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19639.1601ns in weeks?\nAnswer: 0.00000000003247215625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*r - 90*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-236)\/(-590))\/((-6)\/35).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2612020 (base 7) to base 13.\nAnswer: -bb546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to 1\/435?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.7 + -1.5. Let q = 3.2 + b. Sort 13, q, 2.\nAnswer: q, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1007 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: Let d = -2277532177750485.10000083 - -2277533085260855.8. Let m = d + -907510366. Let f = m + -4.7. Round f to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -51 - -151\/3. What is the nearest to -0.3 in 0, q, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j**2 - j**2 + j**2)*(-29*j - 125*j + 38*j).\nAnswer: -464*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2. Let t(a) = 13*a**2 + 1. Calculate 28*l(z) - 4*t(z).\nAnswer: -24*z**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 629.\nAnswer: 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/4 + 26\/(-4). What is the tens digit of (-4 - -2)*(1 + u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 462937?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of 0*c + 2\/3*c**3 + 3\/2*c**2 - 5. Let r be q(-2). Solve -r*y - 4*f = -2 - 2, -3 = 3*y + 3*f for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1752)\/(-4) - (11 - 5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 2 = -12. Suppose -3*x - 5*i = -1368 - 3222, l*x - 3079 = 3*i. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -56, -111, -166, -221?\n\"Answer: -55*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 divided by -13?\nAnswer: -77\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2 + -3*sqrt(1377)) + 0)**2.\nAnswer: -3888*sqrt(17) + 446292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 36223661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -49380 or -49382?\nAnswer: -49382","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 185034?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - 23 - (69 + -89).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 4)*(4*o + 3*o - 6*o) + (4 - 1 - 4)*(-2*o - 2 + 2).\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29 - -31. Let j = 5 - 3. Solve c*m - 4*m - 4*t = -j, m - 5*t = -6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43569\/6160 + -537\/80. What is the common denominator of g and 12\/7?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - o - 2. Let p be (1 + 9)\/(2 - 1). Suppose -4*s + p = -2*s. Is 18 a factor of v(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21454 and 160274.\nAnswer: 1262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-10) + 17\/5. Suppose -2*j = -r - 3. Suppose -3*s - j*i = -i - 30, -2*s + 5*i = -20. Does 6 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -78.011 + -1.689. Let r = -10.7 - n. Let z = r - 69.5. Which is the biggest value? (a) z (b) 0.3 (c) 0.03 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + k - 5. Let v be l(-4). Let m = 43.77 - 47.77. Which is the third biggest value? (a) 2\/5 (b) m (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4226, 4226, 4228, 4232, 4238?\nAnswer: 4246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/(-1980) + (-8)\/(-132)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - 0 - (1 - (-27 - -38))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 376\/(-2820)*35\/(-4).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q + 2*q + 4*q + (1 - 1 + 1)*(3*q - q - q) + (1 - 1 - 2)*(1 - 1 + 2*q))*(-22*q - q + 12*q) as t*q + k + p*q**2 and give p.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3*h - 42. Let s be r(3). Let l be (1\/(1 - -2))\/(s\/(-297)). What is the greatest common factor of 3 and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 19\/1*(-6)\/(-2). Suppose 7 - x = -5*h. Suppose 0 = -4*w + 22 + 18. Calculate the smallest common multiple of h and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 94116 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 + 18*a + 40. Give k(17).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1080\/(-2805))\/((-300)\/1100)*(-2)\/(-6).\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 340 - 6054 - 13191 = 0. Is 6 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 980.398l in millilitres?\nAnswer: 980398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 6071*u**2 + 346050*u + 158. Give f(-57).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 184128389 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 51\/310919 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 584598 = 5*s, -4*p - 1283811 - 1054581 = -3*s. Let n = -4670227\/8 - p. Let a = -817 + n. What is the common denominator of a and 34\/5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-12 + -1 - -12)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1133 + -10?\nAnswer: -1143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/98*-2*-7*7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -16, -31, -68, -139, -256, -431, -676?\n\"Answer: -2*m**3 + m**2 - 4*m - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 58, 116, 174?\n\"Answer: 58*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -362.9144 - 0.0856. Let b = u - -362.5. What is the third biggest value in -5, b, 0.32?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 12 - 8 = 0. Let x = -11\/12 - 7\/12. Sort t, 4\/5, x, 2 in descending order.\nAnswer: t, 2, 4\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8) + sqrt(8) + sqrt(128)*-1 + sqrt(8))\/(sqrt(576)*5)*-6)**2.\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 532010 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.4, 64, -11823?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.26, -2\/11, -1\/3, -0.29, -0.3, 1.1, 0.04?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-61)\/2745 - 2\/(-9). Let q(r) be the first derivative of 15 + 1\/20*r**4 - 1\/5*r**3 + 0*r + s*r**2. What is k in q(k) = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164017 is divided by 1519?\nAnswer: 1484","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*v**3 + 3 + 52*v**3 - 3.\nAnswer: 40*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 283888401 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 806 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 9000?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 377.036 hours?\nAnswer: 1357329600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -2\/21 (b) -0.1 (c) -8 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 15 = y - 19, 5*y + i + 7 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 6*d - 34. Let c(m) = -m + 10. Calculate the remainder when v(6) is divided by c(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 12. Suppose 4*g - g - b - 14 = 0, 4*b = -5*g + 29. What is the second derivative of s*j**g + 0*j**5 - j**5 - 2*j wrt j?\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 213 + -194. Suppose 48 = -3*q + b*q. Suppose 2*o + 0*o = 0. Solve o*h - h = q for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 5*m - 4. Solve -3*s - m*r = s - 10, -s + 5*r = 14 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-129)\/12 - (-19732752)\/1832640?\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 1. Let i = w - 4. Let n = -1881 + 1881. Sort i, 3, n in descending order.\nAnswer: 3, n, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 take away 1.8936?\nAnswer: -29.8936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -648107 or -396?\nAnswer: -396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*b + 1855 = 8*b + 2207 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/10)*(p**(-2)*p)\/p)**(-21)*((p\/((p*p\/(p*p**(3\/4)))\/p*p))\/p*p**3)\/(p**(-2\/11)\/(p\/p**7)) assuming p is positive.\nAnswer: p**(9027\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0\/8*((-5)\/(-2))\/(-5)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xs when two letters picked without replacement from {t: 1, x: 4, e: 1, c: 1, s: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5338 - 1259. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 29*t**2 + 2*t - 2. Let v(h) = 4 + 5 - 1626*h - 29*h**2 - 6 + 1623*h. Determine 3*d(a) + 2*v(a).\nAnswer: 29*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6585 + 6749. Which is the fourth biggest value? (a) 2\/7 (b) -5 (c) -4 (d) l (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000009372 to 7 dps.\nAnswer: -0.0000094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q + 0*q**3 - 4*q**2 + 4*q**2 - 7*q**3. Let s be w(1). Let r = 26 + s. Calculate the remainder when 39 is divided by r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 divided by 49?\nAnswer: -47\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 20 = 5*d. Suppose -3*m + 9*i + 14 = d*i, m + 3*i = -14. Which is the second smallest value? (a) 1 (b) m (c) 2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -13 (b) 0.3 (c) 2 (d) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3 and -0.06061.\nAnswer: -0.36061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2 - 861*o - 9900.\nAnswer: -3*(o + 12)*(o + 275)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 2:03 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-3)\/(-18)*(2 + -16))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -183*n**2*s**3 - 228135*n**2 + 9737*n*s**3 - 848*n*s**2 wrt n?\nAnswer: -366*s**3 - 456270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 2199.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-15)*x\/((x\/x**(-3))\/x))\/(x*x**(-2\/13))**5)**(10\/17) assuming x is positive.\nAnswer: x**(-2760\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-a**2 - 3*a**2 - 4*a**2)*(-9*a**2 + a**2 + 4*a**2 + 2) to the form s*a**2 + j*a + p*a**4 + t*a**3 + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 51. Let l = o - -32.9. Let r = l + 1.1. Which is the closest to 0? (a) r (b) 0.5 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + l**4 + 0*l)*(67 + 4414 + 1302 + 271 + 3759).\nAnswer: 9813*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q. Let o(h) = -8*h - 23. Let v(r) = 6*j(r) - o(r). Let t be v(-10). Sort -6, t, 0 in decreasing order.\nAnswer: t, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5813?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5992899 to the nearest integer?\nAnswer: 2448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5423947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 364 is divided by 102.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 301 + -5. What is the remainder when y is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 225 and 6563475?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 0, -39, -102, -195, -324, -495?\nAnswer: -714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/578 and 145\/59448.\nAnswer: 17180472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**2\/d)**(-16))**(1\/33)*(((d**(-2\/37)*d)\/d)\/d*d*d**(-5)*d)**(-38) assuming d is positive.\nAnswer: d**(187508\/1221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100001011 + 1110111?\nAnswer: -100010010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-132))\/(9\/(-54)) + 202\/22.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75000 and 14550.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 184 and 253?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170349307 is divided by 28.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -3*g - 36. What is the remainder when 3\/(-12) + (-651)\/g is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33)\/(-27) + (-10)\/270*6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 11*w**2 - 11*w - 7. Let c(a) = 5*a**2 - 5*a - 4. Let p(g) = 9*c(g) - 4*v(g). Suppose 1 = 4*k - 47. What is the remainder when p(6) is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 106 and 5777?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xu when two letters picked without replacement from xxusxzxuzuxx.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 187*a. Let n(r) = -2*r**2. Determine n(p(g)).\nAnswer: -69938*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-81)\/84 + 1 - (-2)\/(-7)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -152, -264, -376, -488?\nAnswer: -600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -5143?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bkkboohobk. What is prob of picking 2 k?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -8*g + 4, -15*r - 10*r + 12 = -22*r - g + 7*g for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2569645853 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((18\/(-12))\/((-120)\/(-20)))\/((-49)\/(-112))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**2. Let y(a) be the second derivative of a**4\/4 - 11*a. What is y(z(t))?\nAnswer: 12*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 1708*n = 1709*n - 6, 1 + 14 = 8*i + 5*n for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3301\/(-4)*46\/529. Let s = k - -72. Find the common denominator of s and -55\/4.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 10 = -0*n. Let r be 3\/6*n*-2. Let c = -30611 + 704051\/23. What is the nearest to r in -1, -0.4, c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3482960779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -35269.\nAnswer: 141076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 13*j = -131841. What is the hundreds digit of j\/(-12) + (-12)\/(-64)*4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -12 + 1ae7514?\nAnswer: 1ae7502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 29, 51, 69, 83, 93, 99?\n\"Answer: -2*v**2 + 28*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x - 4 = -76*m + 73*m - 1, -m = -7*x + 4*x + 14 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v + 36*v - 2*v + 20 - 3*v - 20 + 3*v + 2*v - 4*v - 2*v - 2*v + 2*v + (-1 - 2 + 4)*(5 - 5 - v) + 3*v - 2*v + v.\nAnswer: 33*v","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Is 11399114 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -26 from 2031.\nAnswer: 2057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, -12, 4\/7, -5934\/13?\nAnswer: -5934\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 11 = -2*f, -2*m - 213*f + 14 = -209*f. Sort -2, 4, 119, m in descending order.\nAnswer: 119, 4, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8255 + 0.07.\nAnswer: -8254.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 4*t - 8*t. Which is smaller: t or 0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/12*0)\/(-2). Suppose 197 + 43 = 2*j + 4*r, 2*j + 3*r - 235 = i. What is the highest common factor of 44 and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 11 + 7. Find the third derivative of 16*q + 2*q**2 + 2*q**i - 16*q wrt q.\nAnswer: 240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/(-5))\/(12\/(-20)). Solve h = w*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 337610 divided by -14\nAnswer: -24115","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 - 5 - 2*-1. Let q be 1893723\/322938 - h - -1. Let t = q - 2\/4893. Calculate the common denominator of -25\/18 and t.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - -18 - 10)*3\/2. Let o(j) = -j**2 + 18*j - 27. Let n be o(u). What is the greatest common factor of 5 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/387629 and -95\/11528.\nAnswer: 3101032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-88) + (-6)\/(-10) + 2106\/(-2160)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -17*q + 5730. Let y(i) = 9*i**2. Give o(y(v)).\nAnswer: -153*v**2 + 5730","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, -3, -0.4, -5, -1468?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1544*k + 12 = 1545*k. Suppose 4 = -3*i + 2*i, 0 = 4*v + 5*i - 52. Calculate the lowest common multiple of v and k.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 194*d**2 - 650*d**2 - 3)*((-6 + 0 + 4)*(2*d - d - 2*d) - 2*d - 2*d + 0*d).\nAnswer: 1688*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 74474 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d**2 - 30. Let s(y) = 3*y**2 - 37. Determine 5*r(o) - 6*s(o).\nAnswer: -3*o**2 + 72","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 885 and 19765.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and -2 + -1 - 1 - -14?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t + 293 = 888. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2057, 2053, 2039, 2009, 1957?\nAnswer: 1877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2418156 and 90.04.\nAnswer: 89.7981844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26178 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20083828?\nAnswer: 2, 5020957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 7*c**5\/4 - 19*c**4\/4 - 111*c**3\/4 - 149*c**2\/4 - 19*c - 3 = 0.\nAnswer: -1, -2\/7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of 5*q**3\/3 + q**2 - 9*q. Let o be b(13). What is the units digit of (o\/36)\/(2\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**3 + 3*n**2 - 3*n**2)*(299 + 18 - 168 + 5*n).\nAnswer: -5*n**4 - 149*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 93 - ((2 - 1) + -2). Suppose 5*t + 5*a - i + 4 = 0, t - 5*a = 6. What is the highest common divisor of t and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u + 203551 = -378. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 3*f + 4, -16 = 2*w - 7*w - 3*f. Solve 127*a + w = 129*a, -4*v - 2*a = 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 7*m**2 + 122*m + 53. Suppose 729*d - 261*d = -7956. Determine q(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -27, -0.32, 2\/13, -2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of 89*k**8\/168 + k**7\/105 - 227*k**5\/20 - 135*k**2. What is the third derivative of d(w) wrt w?\nAnswer: 10680*w**2 + 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(450) + 1 + -1 + -1 + sqrt(450) + 1)**2.\nAnswer: 1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 4*r**2 - 6*r + 2. Let w be f(-5). Suppose 2*c = -2*c + w. Is c a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 83*l + 1588. Is 29 a factor of d(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 25*k**5 - 395*k**4 - 3746*k**3 + 7580*k**2 - 4168*k + 704 = 0.\nAnswer: -8, 2\/5, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*r - 5757 + 124 = 2331 - 598 for r.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/3 (b) -8 (c) 0.4 (d) -0.2 (e) 6.25 (f) 1 (g) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**2 - 3*h + 6. Let x be p(-4). Let o be 7\/x - 3\/(-6). Let d = 87 - 91. Which is the closest to o? (a) -2\/7 (b) d (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 12*j**2 + j + 98. What is h(-13)?\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 56 = t, 353*h - 350*h = -3*t - 48 for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1)*f)**(-40)\/((f*f**(-3\/7)\/f)\/(f\/(f*f**(-2\/17)*f))) assuming f is positive.\nAnswer: f**(-54\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 - 15 + 7*l in the form x + o*l and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 0, 5*t - 7 + 1 = -k. Suppose 3*z + 47 = 4*v, -k*z = -v - 3*z + 5. Calculate the highest common divisor of v and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/7 + (-6)\/(-7). Suppose -3*g = -g, -4*t - 3*g = 16. What is the biggest value in q, -3\/2, t?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1687359300 and 2211.\nAnswer: -1687357089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 11*-20507.8\nAnswer: -225585.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35)\/(-2205)*42*1\/(-15)?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7637 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -17483201 - -5?\nAnswer: -17483196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6360 divided by -5\nAnswer: -1272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -101*a - 755. Let u(y) = 37*y + 251. Calculate -3*m(w) - 8*u(w).\nAnswer: 7*w + 257","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90518209.\nAnswer: 90518209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24*u**3 - 7*u**3 + 3*u**4 + 31*u**3 - 31 with respect to u.\nAnswer: 12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18406571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 30 = 5*n, 5*b = 2*b - 3*n + 24 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (51\/18)\/(-17)*-4*(-30)\/(-90).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4411165 divided by -401015?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 12:54 AM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 1794*y**2 + 92*y - 92. Let m(g) be the second derivative of -97*g**4\/12 - 5*g**3\/6 + 5*g**2\/2 - 4055*g. What is -92*m(j) - 5*u(j)?\nAnswer: -46*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rbjr when four letters picked without replacement from {r: 11, b: 1, j: 7}.\nAnswer: 385\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -112 - -279. Is 20 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, 30, 107, 240, 447, 746, 1155?\nAnswer: 1692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -215 - -234. What is the remainder when 50 is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(5\/3)*v\/(v**(-1)\/v))**(-3\/11)*(v\/(v**0*v*v)*v**(-7))**(-33) assuming v is positive.\nAnswer: v**(2897\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 5:41 AM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 7. Suppose b*k - k = 0. Suppose -u = -l - l - 9, -4*u - l + 54 = k. Calculate the highest common factor of u and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.51 + 24.51. Let d = i - 6. Let o = d - 19.1. Round o to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2647\/7 + -377. Factor 4*f - 4\/7*f**4 - 36\/7*f**2 + 20\/7*f**3 - b.\nAnswer: -4*(f - 2)*(f - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3*l = -43, 13 = 4*n - 5*l - 24. Suppose 0 = -n*i + 16 + 166. Let r = -17 - -43. What is the remainder when r is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 715 (base 9) to base 10\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 45*n + 21. Let i(r) = 11*r + 5. Let s = 1070 - 1091. What is s*i(y) + 5*p(y)?\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6099, -12134, -18153, -24156, -30143?\nAnswer: -36114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*17\/85*(-1)\/2*-1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10121121 (base 3) to base 15\nAnswer: baa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 228*g - 412. Give j(0).\nAnswer: -412","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4*x - 12 = -z, 5*z + 5*x = 45. Let m be (1 - 3)\/(2\/7). Let y = m + 11. Solve y*f = -2*k + 18, -z*f = 5*k - 3*f for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 39082887 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -2) + -2 - 4 - 9\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -78*u**2 - 24*u**2 - 52*u**2 to the form g + y*u**2 + w*u and give y.\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 5, 5, 3, -1?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*5\/(-510)*4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2*m = 0. Suppose 0 = 4*d - m*d. Suppose d = -a - 0*a - 1, -3*h + 57 = 3*a. Does 20 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 4*b - 2003 - 224, -2236 = -h + 5*b. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1672793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 100024 and 128.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {g: 2, q: 7, w: 5}.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 - 8*w - 3. Let d be q(-6). Let y(i) = -i + d - i - 4. Let g be 1*-9*196\/(-441). Give y(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*c**3 + 307*c**2 - 307*c**2 - 2 + 2*c**4 in the form k*c**4 + j*c**3 + d*c + r + m*c**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away 5037?\nAnswer: -5042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*a**2 - 335*a**2 - 73*a**2 - 297*a**2.\nAnswer: -786*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-16)\/(-20)*106\/(-8) and -31\/27?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/18 - (-44)\/9. Suppose -2*c + 168 = l*c. Let i(w) = w**2 + 240. Let t be i(0). What is the greatest common factor of c and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*r**2 - r**2 + 0*r**2)*(-1 + 1 - r) + 2*r**3 + r - r as x + v*r**2 + m*r**3 + t*r and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.4 - 0.2. Let h = -0.7 - d. Let t be (2\/(-36))\/((-2)\/8). What is the smallest value in t, h, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2 = -3*c. Suppose -c*o + 12 = -5*o. Let i = o + 13. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t + 10. Let s be d(-11). Let z be (-3)\/s - (5 + -7). Solve 2*q + 2 = 2*u, 2*u - z*u + 4*q + 1 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r + 4*r - 52. Suppose -5*u + 22 = -r. What is the lowest common multiple of (3*2)\/(8*24\/256) and u?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of -r**6\/120 - r**4\/12 + r**3\/3 - 2*r**2. Let y = 2 + 0. Calculate h(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -385 + 385. Let h = 3 - 7. Let c = -4 - h. Is c < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1118107?\nAnswer: 17, 89, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 758124 and 648?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 10:37 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -505, -4\/3, -4, 2\/5, 0.1 in descending order.\nAnswer: 2\/5, 0.1, -4\/3, -4, -505","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -684949.64*-0.3\nAnswer: 205484.892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 2*p, -b - 5*p = -9*p + 20. Let o = b - -27. Let y(k) = 11*k**3 + 2*k**2 - 4*k + 3. What is the remainder when y(2) is divided by o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 4*z**2 + z + 1. Let k = 81 + -84. What is the remainder when 34 is divided by f(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 155, 165, 171, 173, 171, 165, 155?\n\"Answer: -2*s**2 + 16*s + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 110116 - -3?\nAnswer: 110122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1009653060?\nAnswer: 2, 3, 5, 13, 47, 27541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + 11*v - 5. Let r be o(-12). Suppose -n + 7 = -r. Is n a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79.104348 minutes to days.\nAnswer: 0.054933575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -27 - 1. Let w(j) = 3 - 3 + j**2 + 5 - t*j. Give w(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3448364362 to the power of 1\/2, to the nearest integer?\nAnswer: 58723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 t when two letters picked without replacement from cgctpgcpggpgjg?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -184538998*c**2 - 2743624*c + 13?\nAnswer: -369077996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*(-3)\/63*3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -207\nAnswer: -62.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 10}. What is prob of sequence uuuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3789 - 220*d**3 + 218*d**3 + 20*d**2 + 3789.\nAnswer: -2*d**3 + 20*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79.8*-2113.5.\nAnswer: -168657.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -264*z**3 - 14*z + 14. Let d(c) = -88*c**3 - 5*c + 5. What is 14*d(x) - 5*n(x)?\nAnswer: 88*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (3015 + 2961 - 298 + 283)*(-5*o + 6*o - 3*o)*(5 - 2 - 2) as m + c*o and give c.\nAnswer: -11922","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 3*b - 16, m = 2*b - 4*m - 17. What is the greatest common factor of 3 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -2*a - 2*n, -a + 6*n + 3524 = 3546 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294670 is divided by 50.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 5*x**2. Let n(f) = -13*f**2 + 4*f - 4. Let h(r) = 208*r**2 - 65*r + 65. Let c(j) = -4*h(j) - 65*n(j). What is m(c(t))?\nAnswer: 845*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/72)\/((-14)\/54).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of l**8\/480 - l**5\/6 - l**4\/12 + 11*l**2. Let j(r) be the second derivative of y(r). What is the derivative of j(n) wrt n?\nAnswer: 42*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17427*j**3 - 15*j**4 + 17435*j**3 - j + 17*j**4 + 4*j**2 + 1 in the form h + p*j**2 + k*j**4 + u*j + l*j**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 9939250 to the nearest 100000.\nAnswer: 9900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (46\/4)\/(3\/6). Suppose 5*l = 4*h + y, -h = 2*h + l + 3. Sort 1, h, -5 in descending order.\nAnswer: 1, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8299 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*f - 2*f - 2*f**3 - 14*f**2 - 2*f + 8*f**2.\nAnswer: -2*f*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine thirds of a week in hours?\nAnswer: 1624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -8.1. What is the nearest to 2 in 3, 0.4, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -276268*z + 124. Let p be w(-7). Round p to the nearest 100000.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -6*b. Let n(m) = 169421*m. Give i(n(p)).\nAnswer: -1016526*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4*t**2 - 3 + 7)*(-t**3 + 2*t**2 - 2*t**2).\nAnswer: -4*t**5 - 2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -975196 = -50*d - 42*d - 983476 for d.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f**3 - 4*f**3 + 3*f**3 - 7558 - 136*f**3 + 7558 + (1 + 1 - 4)*(-4*f + 4*f + f**3) to the form p*f + s + l*f**3 + q*f**2 and give l.\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 22*x**2 + 18*x + 35. What is u(21)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1068 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 413 + -307. What is the remainder when z is divided by 53?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 381 divide 4693158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 6*f + 3. Let g(n) = 3*n**2 + 24*n - 22. Let b be g(-9). Determine s(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - -19)\/(14\/4). Suppose -2*b + 13 = -1. Are j and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3156412213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/12)\/(4\/(-6)). Let i = 0 + v. Let x be (i - (-2)\/3)*-6. Sort x, 4, 5 in ascending order.\nAnswer: x, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 29 - 36 - (0 + -19). Is ((-2257)\/(-122))\/(1\/d*1) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21307.9198 + -21309. What is h rounded to one decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/16*(-2282)\/(-815))\/(4\/((-64)\/(-10)))?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*l = -6, -2*l - 15 = 2*h + 3*l. Suppose 5*v - 21 - 2 = q, h = -3*q - 5*v + 31. Suppose q*b + 0*b = 72. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 499, 2, 4256 in decreasing order.\nAnswer: 4256, 499, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.27453 - -1.27453. What is the nearest to q in 2\/7, -2, -75, 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**5\/7 + 18*x**4\/7 + 46*x**3\/7 + 2*x**2 - 48*x\/7 - 32\/7 = 0. What is x?\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 - -1 - (-5 + 5). Solve 22 = z + 4*f, -4*z - 22 = -l*f - 5 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1 - 2)*(6 - (-1495)\/(-270)) and 12\/16*412\/(-78).\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 27 + 7 = -3*k, -36 = 4*k - 3*a. Let b be (-2)\/2 - (k - -3). Find the third derivative of 3*j**6 - 5*j**6 + 2*j**2 - 3*j**b wrt j.\nAnswer: -240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in 0.1, -0.5, -7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 75\/(-400) - 33\/(-48).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2618 a factor of 622392848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - w = 117, -4*m + 5*w + 174 = 93. What is the greatest common factor of m and 300?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - -3. Suppose 0 = a*x + 9 + 1. Which is greater: -3 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001448 to four decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 55098187 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1262 (base 8) to base 16\nAnswer: -2b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -44665794*5\nAnswer: -223328970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -247 or -249?\nAnswer: -249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n - 1. Let z(a) = -a**2 + 4*a - 1. Suppose 9*p - 10*p = 4. Let o(x) = p*m(x) + z(x). What is the derivative of o(b) wrt b?\nAnswer: -2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 40 = 5*v, 0*v = -2*o - 4*v - 30 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 + 53 = 5*u. Suppose 5*d = -2 - 3. Which is the closest to 1? (a) u (b) d (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 + 22. Let l = 2 + k. Put -6, l, -1\/5 in descending order.\nAnswer: l, -1\/5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1033188*w**2 - 516931*w**2 - w**3 - 516257*w**2.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -s + 5*s + h, 4*s = 2*h. Solve -s = 2*t - 2*r, 0 = 5*t - 4*r - 0*r + 7 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 96\/215 + -2\/43. Let j = -63 - -69. Sort j, p, -4 in descending order.\nAnswer: j, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 2*o - 4 = 1, 0 = -j - 2*o - 9. Suppose x + 3 = 1. Let z be (j - x)\/(3\/3). Let i(u) = -u**2 + u. What is i(z)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1156 divided by 4\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 3*w**2 + 2. Let z be k(2). Let c be z\/81 + (-29)\/(-9). What is the third derivative of 3*h - c*h + 15*h**2 + 2*h**2 + 18*h**4 wrt h?\nAnswer: 432*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/3 + 650\/660 and 9\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*4\/(-24)*3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**2 + n**2 + 2*n**2 + (-n + 3 - 3)*(4*n + 2*n - 3*n) + (-2*n**2 + 6*n**2 + 3*n**2)*(3 + 3 - 1) + (-1 + 1 - 3)*(-2*n**2 - 4*n**2 + 5*n**2).\nAnswer: 36*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -267630 divided by -2433.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1553117 and 4902.\nAnswer: 817","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 358, 675, 960, 1213, 1434, 1623?\nAnswer: 1780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 2*g**2 + g + 20. What is the hundreds digit of x(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24922388*w**6 + 11276*w**2 + 22 wrt w.\nAnswer: -2990686560*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -51, -38, 1, 66, 157?\nAnswer: 274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 j when two letters picked without replacement from {e: 3, q: 1, d: 3, y: 2, j: 3, o: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 3:56 AM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62875 is divided by 146?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - 23 - (1*-6 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 538215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - -53) + -28 - -3.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -31*l - 57. Is r(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttttutu. What is prob of picking 2 u?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1 (b) 0.05 (c) 1\/4 (d) -4 (e) 0.08 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, r: 1}. What is prob of picking 1 z and 1 r?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 16*z**2 - 14*z - 11. Let l be u(15). Let p be l\/(-18) - (-3)\/((-135)\/(-19)). Which is the third smallest value? (a) 0.02 (b) -5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 0*u**2 - 2*u - 2*u + 1 + u**3 - u + 4*u**2. Let y be q(-5). Suppose 3*r + y = 13. Calculate the least common multiple of 10 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3558, 3556, 3554, 3552, 3550, 3548?\n\"Answer: -2*t + 3560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40 - 25. Let p be ((-18)\/10)\/(2\/(-10)). Solve -4*n = -p*n + y for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -119 - -194. Let i = 53 - x. Is (-2217)\/(-33) - (-4)\/i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -98 - -36. Let n = r - -58. What is the closest to 1\/4 in 4, n, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -u, 5*u + 90 - 31 = 2*n. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 487*p**2 - 55*p - 58. What is k(-2)?\nAnswer: 2000","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 361152564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 29546 to the power of 1\/2, to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 82 + -6b4c3?\nAnswer: -6b441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q - 45*q = -9*q - 504 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 3939.785 meters?\nAnswer: 3.939785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3 - 15*w**2.\nAnswer: 5*w**2*(w - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of 2*i**3\/3 - 20*i**2\/9 + 8*i\/9 - 4. Factor q(x).\nAnswer: 2*(x - 2)*(9*x - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(5*sqrt(19) + 2 + (sqrt(19) - -3*-1*sqrt(19)) + 0) + -1)**2.\nAnswer: 36*sqrt(19) + 693","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 273a + -1?\nAnswer: 2739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 3260445?\nAnswer: -3260442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 18002542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4494, 8958, 13414, 17868, 22326, 26794, 31278, 35784?\n\"Answer: n**3 - 10*n**2 + 4487*n + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 420 and 1995.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 10:30 PM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/11, -17, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -170956465*v**5 - 387210121*v**2.\nAnswer: -10257387900*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 178, 173, 168, 163, 158, 153?\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -291631 divided by -19.\nAnswer: 15349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 3*b + 7*q - 233, 4*b - 312 = -5*q. Let w = b - 83. Solve 2*o + 4*g + 6 = 3*g, w = 4*o - 3*g + 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 1) + -3 + 6 + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 2*v**2 + 3*v - 2. Let t be s(2). Let l be 2\/(-3)*66\/t. Is -12 less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3*p**2. Let n(b) = 3*b. Let r(m) = -5*m + 4. Let s(t) = -6*n(t) - 3*r(t). Calculate s(x(g)).\nAnswer: 9*g**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -0.045?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3427*v - 439*v + 19710 = 2704*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(245) + (0 + sqrt(245))*-2 - sqrt(245))**2 - (-4 + sqrt(245)*2 - sqrt(245))*3) + -5)*5 + 0.\nAnswer: -105*sqrt(5) + 4955","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 548504892?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 14 = -3*n + 2*n, -3*n = -2*l + 31. Suppose -2*p - 142 = -2*f, 4*f + 198 = -3*p + 2*f. What is the lowest common multiple of l and 13 + 2\/16 + p\/32?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -l**3 + 913*l + 8010?\nAnswer: -3*l**2 + 913","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19295410?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, j: 11}. Give prob of picking 3 j.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 - -28.1. Let h = 26.9 - d. Let w = -1.2 - h. Which is the closest to -0.1? (a) -1 (b) w (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 36*w - 7. Let x be r(4). Let o = x - 119. Is 9 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 28540 to the nearest one thousand.\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -9141221 rounded to the nearest 100000?\nAnswer: -9100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2*g - 1)*(0 + 1 + 3) + 4 - 4*g - 4 - 3*g - 2*g + 6*g + 0 + 0 + 2*g + (0 + 0 - 2*g)*(2 + 1 - 4) as y*g + v and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -116 (b) 2 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -398737944 divided by 6.\nAnswer: -66456324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4696208 - 9396208. Round q to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1932 - -1007. What are the prime factors of (-25 + 0)*i\/125?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -5*x**2. Let l(t) = 2*t + 5. Suppose -3*h = 3*u + 3, -2*h = -6*h - 2*u - 12. Let w(g) = 1. Let q(b) = h*w(b) + l(b). Give p(q(s)).\nAnswer: -20*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 382104100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4682 - 705318 = -5*m. What is m rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of q**7\/105 - 3*q**6\/40 + 3*q**5\/20 + q**4\/24 - q**3\/2 - 9*q**2 + 6*q. Solve v(p) = 0 for p.\nAnswer: -1\/2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/12 + (-10642)\/(-204) + -42.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o + 15057. Let g(y) = y. Determine v(g(l)).\nAnswer: -l + 15057","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -423 divided by -2.\nAnswer: 423\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3559 is divided by 1186.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 13 = -3*j. Let r(i) = 5693*i + 4. Let m be r(j). Let f = 7183 - m. Round f to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -50.7 + 2.7. Let t = b + 47.6. Let i = -0.03 - -0.03. What is the nearest to 1\/8 in t, i, 4\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -7*g**3 + 6*g**2 - 4*g - 1. Let x(j) = 22*j**3 - 17*j**2 + 11*j + 3. Let i = -4 - 7. Let n(b) = i*k(b) - 4*x(b). Give n(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 19*l = 15*l + 16, -4*t = -3*l + 12. Let y(p) = -p**2 + 25*p + 160. Let m be y(t). Calculate the greatest common factor of m and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -12 - -15 - (-14 - (4 + -5)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1888411 (base 10) to base 12\nAnswer: 7709b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 10*u - 208. Let d be v(22). Let z(x) = -2*x - 12. Let n be z(-9). Solve -2*c + 5*c + 3*b = d, b + n = c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qffy when four letters picked without replacement from {l: 2, f: 2, q: 2, y: 8}.\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -48808 divided by 8\nAnswer: -6101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s**2 + 3*s - 1. Let a(x) = -10*x**2 + 9*x - 2. Let b(u) = -2*a(u) + 7*r(u). Let q be b(2). Sort -3, q, -2 in ascending order.\nAnswer: -3, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 9:09 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2170 = 255*q - 100*q for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of 14332*t**5\/5 - 2*t**3\/3 + 2147*t**2\/2 - 342. Find the third derivative of j(m) wrt m.\nAnswer: 343968*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**2 + 2*j**5 - 5*j + 5*j + (-5*j + 2*j + 4*j)*(190*j**4 - 2*j + 83*j**4 - 246*j**4 - 5*j**2).\nAnswer: 29*j**5 - 5*j**3 - 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 6)*(0 + 2*j**2 + 0)*(-3*j - j + 6*j).\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 915*f**3 - 12*f**2 + 21*f - 2. Is u(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 21282310.\nAnswer: -4256462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -12167.125 and -4.6429?\nAnswer: 12162.4821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -52, 1060899, -1 in ascending order.\nAnswer: -52, -1, 1060899","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -33192*l - 132802. Determine d(-4).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/4 + (-8 - -9). Round g to one dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -6*u - 8. Let p(h) = -8 - 17 + 11 - 11*h. Let b(k) = 7*o(k) - 4*p(k). Let d(i) = 6*i - 6. Calculate b(d(n)).\nAnswer: 12*n - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 304 a factor of 302550288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 4*f = 21, -56472*c = -56468*c - 2*f + 18 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 244 and 7723027?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 4*r - 7662, 7662 = -20*d + 22*d + r. What are the prime factors of d?\nAnswer: 3, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, y: 6, x: 4}. What is prob of sequence ky?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 84, 203, 372, 591?\nAnswer: 860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-4))\/((-2)\/(-6)*(-8631)\/548).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ty when two letters picked without replacement from {t: 2, q: 2, y: 4, i: 2}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 2:31 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -13*l + 2. List the prime factors of i(-7).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 635 and 127.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/9067 - -11306551\/18134. Which is smaller: x or 625?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2 - 3 - -2 - -28 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(7) + sqrt(175) + 0))**2 + 2 - (3 + (4*sqrt(3584))\/sqrt(8))**2.\nAnswer: -3143 - 192*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -3*sqrt(128) + -4 + -3.\nAnswer: -24*sqrt(2) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of 0*z + 17*z**2 + 19 - 7\/3*z**3. Find the second derivative of d(x) wrt x.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at most -123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-78)\/(-120) + (-1)\/4. Suppose 0 = 5*q + 4*x + 7, 2*q + 0*x = 5*x - 16. What is the third biggest value in 3\/2, q, n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/3 + 11\/3. Suppose -g*v + 8 = -28. What is the remainder when 23 is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -717*a - 1740 = -160*a - 19007 for a.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g**2 - 4*g + 857. Calculate c(39).\nAnswer: -3862","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-14)\/(-4)*1\/14. Let q = -0.31 - 23.69. Which is the nearest to j? (a) q (b) 1 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1)*v)\/v**(-2))**(-1\/4) assuming v is positive.\nAnswer: 1\/sqrt(v)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q**2 - 55 + 2*q**2 - 1064*q**3 - 61 + 112.\nAnswer: -1064*q**3 + 2*q**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 smaller than 5\/3806?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 279, 280, 281, 282, 283?\n\"Answer: m + 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x + 28. What is the remainder when f(-24) is divided by 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + 0 - -3) + -7. Let f(j) = -j**3 - 4*j**2 + 8*j - 3. Let t be f(l). Let y(b) = -4*b + t*b - 5*b. Let a(o) = 2*o. What is a(y(k))?\nAnswer: 24*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1212 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 12 = 2*x, 5*b - 16 - 8 = 4*x. What is the fourth biggest value in 0, x, 0.3, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 99 - 39. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 - -70. List the prime factors of s.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2 + (sqrt(1573) + 0)*2 + ((5 + 2 + sqrt(1573) + sqrt(1573) - sqrt(1573))*-5)**2).\nAnswer: 15488*sqrt(13) + 162208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 266 + -450. Let q = -185 - w. Let d(l) = -31*l**3 - l. Give d(q).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-28)\/42*(-9)\/2. Solve 4 = -2*d + h*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/414 and -79\/57753.\nAnswer: 115506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 16) to base 12\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1938981277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 592529909 is divided by 5493?\nAnswer: 5492","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of 2*p**2 + 113*p + 119. Let q be b(-27). Solve 2*a = 6*a - 2*l, q*a = l for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 794*q**5 + 2*q**4 + 1608*q**3 - 255401667*q**2 wrt q.\nAnswer: 47640*q**2 + 48*q + 9648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 64 - 28 = 4*v - 190 + 50, o - 55 = 3*v for o.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101100 + -10110011010?\nAnswer: -10011101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1 - 1) + 56 + -55 - (20 - 16)) + -24.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -46802*s**5 - 6*s**4 - 2*s**3 + 9*s**2 - 19*s - 1914 wrt s.\nAnswer: -2808120*s**2 - 144*s - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4155315 divided by 831063\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-2) - (-2 + -1). What is the third derivative of -5 + g**4 + 7 - 27*g**q - 4*g**4 + 10*g**6 + 11*g**2 wrt g?\nAnswer: 1200*g**3 - 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 987.7592l to millilitres.\nAnswer: 987759.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1409127?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-29 - (-5 + 126)) + (59 - 46)\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1\/3 (b) 2\/9 (c) 2\/7 (d) -181\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 181236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 8 = -2*y - 2*a, 3*a = -y + 4. Let h be ((-8)\/(-3))\/(y\/(-9)). Find the second derivative of 4*g**5 - 11*g - 12*g + h*g wrt g.\nAnswer: 80*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 3*d - 25. Let f be b(8). Is f at most 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 6 = 2*d. Suppose -32 = -4*y - 2*r, -4*y + 5*r + d = -2. Suppose 5 = -5*t - 5, -2*b + t = -y. Solve 3 - 7 = -b*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -15*w**3 - 23974*w**2 + 65615*w - 41626 = 0?\nAnswer: -1601, 1, 26\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 340403 - 1143?\nAnswer: 335220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3699 + -784. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -300*u - 1915. Calculate k(-9).\nAnswer: 785","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 989.571 - 993. Let d = 100.159 + k. Let b = -97 + d. What is b rounded to two decimal places?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + -4 + -1)*-8. Suppose 2*p = -p + h. Let b = 169 - 89. What is the greatest common factor of p and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -19652\/5*m**2 + 0 + 0*m - 6936\/5*m**3 - 816\/5*m**4 - 32\/5*m**5.\nAnswer: -4*m**2*(2*m + 17)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-208)\/14 - 8\/56. Let a be 2*v\/6*-2. Let s be (-4 + 56\/a)*10. Solve -2*j + l + 2 = 7, -5*j - l = s for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/152848 and 23\/9620.\nAnswer: 367599440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 13. Let m = 0 - 4. Let i = -4.4 - m. Which is the second smallest value? (a) i (b) -0.5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3*w. Let l(y) = -20*y**2. Give d(l(q)).\nAnswer: 60*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 680489 is divided by 136072?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 99*o**2 + 18*o - 11. Let l(a) = -25*a**2 - 5*a + 3. Give -6*c(s) - 22*l(s).\nAnswer: -44*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**5 - b**4 + b**3 + b**2 + b. Let l(n) = -6*n**5 - 12*n**4 - 30*n**3 - 24*n**2 - 9*n. Let t(w) = l(w) + 3*m(w). What is d in t(d) = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -600125060?\nAnswer: -600125055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -2*k + 2, 3*v = 2*v + 2. Suppose 5*u + 54 = 4*a, -38 = -4*a - 0*u - k*u. Solve 0 = -3*t - 5*d + a, 5*t + 0*d + 23 = 2*d for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + 0*(-2)\/8. Suppose -5*r = 5*i - 20, -5*i + 3*i + 2 = -r. Suppose -r*y + q = -13. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -11 + 6 - (3 + -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 120\/(-144) - 11770\/(-12) a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2. Let k(y) = -5 + 0*y - 5*y + 0*y + 8*y. Determine v(k(m)).\nAnswer: -9*m**2 + 30*m - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 8107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -2*h + 16789, -1 + 4 = i. Suppose 10*y = 14*y - h. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*c = 5*y - 31, -3*y - 7 = -4*c. Suppose 0 = -c*o + 28 - 4. What is the smallest common multiple of 4 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1131 and 5278?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24.999616 + 25. Round c to 5 decimal places.\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6184424*b = -6183941*b - 21252 for b.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 2:43 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2012*j**3 + 853*j**3 + 1168*j**3.\nAnswer: 9*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 59 + -83. Let k = i - -26. Suppose 35 + 75 = k*l. Is 26 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-128)\/(-28) - 5) + (-43546)\/(-14). Suppose 3*c - 3079 - l = 0. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 5*a = 0, -19 = -m + 2*a - 6. Suppose 4*h - 16 + 4 = 0. Put m, -5, h in decreasing order.\nAnswer: m, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 115 + -122. Put g, -2\/9, 1\/2, 3 in descending order.\nAnswer: 3, 1\/2, -2\/9, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2559003 = -g, -3*f - 4*g + 1705988 = -f. Round f to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2183 and 236.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1502659389 to the power of 1\/3, to the nearest integer?\nAnswer: 1145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**3 + m**3 + 2*m**3 + (-m + m - m)*(m**2 - 5*m**2 + 3*m**2) - m**3 + 0*m**3 + 3*m**3 + 1 - 1 - 4*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1236840938?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 0 - 12*y - 1\/2*y**4 - 7*y**2 + 9\/2*y**3 = 0.\nAnswer: -1, 0, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 9*r. Suppose r = 7*n - 38 + 10. What is the smallest common multiple of 20 and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (467 - 453) + 2 + (2 - 2).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -188 - 2419967*l**2 - 50*l**4 + 2419967*l**2 wrt l?\nAnswer: -200*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3, 33, 89, 183, 327?\n\"Answer: 2*z**3 + z**2 + 13*z - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z. Let v(g) = 5572*g. What is v(a(j))?\nAnswer: 5572*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 26*f - 136. Suppose 0 = h - 4*w + f, 3*h + w = -11 + 22. Solve -2*x - a - 2 = 0, -4*x + x - h*a = 6 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1040 - -113440030?\nAnswer: 113433440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d**2 + 25*d - 20. Let f = 71 - -78. Calculate the lowest common multiple of f and h(7).\nAnswer: 1192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.482 to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4013 is divided by 2006?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 21*h**2 - 59*h - 2. Let f = -214 - -229. What is the tens digit of k(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 322669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (85\/85)\/(((-24)\/(-6))\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1260\/1806)\/(3\/86)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -5*j - 45*z + 41*z, -4*j = -4*z + 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1951, 3895, 5839, 7783?\n\"Answer: 1944*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 + 327\/(-27) + 4)\/((-4)\/30)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 9:17 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.4 - -1.6. Suppose -2*z - 20 = -7*z. Let x be (-1 + (-4)\/(-2))*(z + -9). Which is the fourth biggest value? (a) m (b) x (c) 5 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -97, -22, 2, -1, -3 in descending order.\nAnswer: 7, 2, -1, -3, -22, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/87 - 431\/174. Let z = 1 - 0.8. Which is the nearest to z? (a) v (b) 2\/7 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6535263.\nAnswer: 3, 7, 311203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**3 + 439924*y**2 - 147475776*y + 12378481920.\nAnswer: -4*(y - 109645)*(y - 168)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 0.1 (c) 1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(55)\/(sqrt(5)*2) + (sqrt(11) - (sqrt(11) - sqrt(33)\/sqrt(3))) + -4) - (sqrt(396)\/sqrt(9) + (-3 + sqrt(33)\/sqrt(3))**2).\nAnswer: -36 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 180 divide 25740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**3 - 9*g**2 + 6*g = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s = -12*s - 261. Let p = -144 - -96. Let f = p + s. Does 17 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 + 3*k - 4. Let n be (-13 - -18)*(3\/1)\/3. Determine w(n).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of 3\/4*n**4 - 37*n + 1\/4*n**8 + 0*n**6 + 0*n**3 - n**2 + 0*n**7 + 0*n**5 + 0. Find the third derivative of t(r) wrt r.\nAnswer: 1680*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 1. Let p(v) be the first derivative of 0*v**2 - 1\/2*v**4 + 0*v**3 - 55 - v. Determine -p(i) + s(i).\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/(-6))\/(1\/(-30)). Let r = f + 47. What is the highest common factor of 28 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.574 (b) -0.1 (c) -72.591\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x. Let g(l) = -47*l + 45. Calculate v(g(n)).\nAnswer: -47*n + 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1011, -1015, -1015, -1005, -979, -931, -855?\n\"Answer: g**3 - 4*g**2 + g - 1009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-244)\/(-48) + (-10)\/(-8))*492 and 342.\nAnswer: 28044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1587*g - 424*g = 18608 for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -2*h - 0 - 31, 0 = -2*o - 2*h + 14. Let u = o + -5. Suppose -5*n + 4*n = -u. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -911, -3 in decreasing order.\nAnswer: 5, -3, -911","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8576 is divided by 8534?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -320 divided by -17?\nAnswer: 320\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g**2 - g + 6. Let n be (-13)\/4 - (-14)\/56. Let k be q(n). What is the common denominator of -41\/8 and k\/(-120)*24\/(-2)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of -s**3\/3 + 3*s**2 - 7*s - 9. Let w be h(3). Let t(a) = -2*a**3 + 0*a**w + 2 - a**2 + 3*a + a**3 + 0. What is t(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (0 + sqrt(567))*5 + sqrt(567) + 3*2*sqrt(567) + -1 + sqrt(567)*2 + sqrt(567) + 1*(sqrt(567)*-2 + sqrt(567)) + 1)**2.\nAnswer: -252*sqrt(7) + 111133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 263909508?\nAnswer: 2, 3, 107, 205537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 75602.05 kilograms?\nAnswer: 75602050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6641828\/135 - -49199. Let u = t - 2\/27. Factor u - 1\/5*f**2 + 0*f.\nAnswer: -(f - 1)*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2890 + 2890 - 1532*t**3.\nAnswer: -1532*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jejeejeekkeje. What is prob of picking 1 e and 1 j?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(17) + 1)*-6 + -3 + (-1*sqrt(17) - sqrt(17)) - (0 + -2*4*sqrt(17)))**2.\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.432132 millimeters to meters.\nAnswer: 0.007432132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = -t - 3*l, t + 39 + 8 = -5*l. Let a = 29 + t. Is ((-1)\/a)\/((-6819)\/3411 + 2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2 (b) -11 (c) 1 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*h - 4. Let n be (27\/81)\/(33\/18 + -2). Let z be (-1)\/(n + h) - -459996 - -3. Round z to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 955*c - 881*c - 4070 = 0 for c.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 63*r - 93. Let o be k(7). Suppose o = 7*y - 184. Calculate the greatest common divisor of 4 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, -211, -480, -857, -1342, -1935, -2636?\nAnswer: -3445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.1 - -0.1. Let z = -11373 + 11376. Which is the closest to m? (a) -3 (b) -0.6 (c) z (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11372151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -30769611*o - 22224685 wrt o?\nAnswer: -30769611","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, a: 2, n: 1, q: 1, u: 1}. Give prob of picking 1 u and 2 z.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-9) + (-3)\/9. Let h = -48.64 + 48.6. Which is the third biggest value? (a) -2\/11 (b) h (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3280*x + 1578*x**2 + 1812*x**2 + 1715*x**2 + 89*x**2 - 125*x**2 wrt x?\nAnswer: 10138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wlwb. Give prob of picking 1 w and 1 b.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 66329835 to the nearest integer?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5668 = 42468. What is t rounded to the nearest one thousand?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -45*y**5 - 15*y**4 + 280*y**3 - 240*y**2 = 0.\nAnswer: -3, 0, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 154471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(4\/(-10)) + -1. Let q = 1615 + -1617. What is the second biggest value in d, -1, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -2. Suppose -2*a + 0*a = c - 264, t*a - 5*c - 264 = 0. What is the greatest common factor of a and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 196853\/82698 + -2\/1253. Calculate the common denominator of -1\/330 and g.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 570763457?\nAnswer: 11, 17, 3052211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z - 5*z + 2*z)*(0*z - 2*z**3 + 0*z) - 5*z**4 - 5*z**4 + 4*z**4 - z - z**4 + z to the form u + y*z**2 + p*z**4 + r*z + g*z**3 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 2*r - 5 = 0, 0 = -y - 2*r - 2*r + 25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14949978 is divided by 747498.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-7)*(-3 - -2). What is the second smallest value in -1, -2, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of -5 + 12*y**2 - 3\/50*y**5 + 0*y + 16\/5*y**3 + 1\/200*y**6 + 0*y**4. Factor n(g).\nAnswer: 3*(g - 4)**2*(g + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -149 + 153. Solve b = 4*i - 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4397 is divided by 55.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 123 divided by -23\nAnswer: -123\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 113*t. Let f(g) = -2680*g**2 - 2. Determine v(f(x)).\nAnswer: -302840*x**2 - 226","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 5*v - 5*g = -21, -3*v + 2*g = 11 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -419231?\nAnswer: 7\/419231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-12\/7)\/i**(4\/9))\/(i*i**(-2\/13)*i*i*i*i)**12)**11 assuming i is positive.\nAnswer: i**(-543356\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6588010 divided by 442?\nAnswer: 14905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -332*l - 14 = 3*k - 331*l, 0 = -4*k + 2*l + 8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y**2 - 11*y + 5. Let g = -73 + 75. Suppose 0*j + 2*j - 19 = 5*v, 5*v = -g*j - 31. List the prime factors of k(v).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6, -74, -194, -366, -590?\n\"Answer: -26*n**2 + 10*n + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*r - 18*r - 15 = -3*f, -21*f = -r - 17 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8554362 to the nearest integer?\nAnswer: 2925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 360645207 - 360645207 + 4*l**2.\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2727 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -33. What is the remainder when (-2 - 2)*(-57)\/4 is divided by j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 533380908?\nAnswer: 2, 3, 83, 535523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.32 + -1.32. Put -1\/6, d, 1\/37 in increasing order.\nAnswer: d, -1\/6, 1\/37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -10 (c) 273\/4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -14283 - 21738. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -69*t**2 - 8*t + 53. Determine q(-2).\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 16\/5, 14, -1\/11, 1\/4?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 394 and -15399 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 6*t**2 - 2*t - 1. Let d = 149 - 141. Suppose -j = d - 13. What is c(j)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 13224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = -865 - 183. Let n = i - 129. Let c(z) = 13*z + 2. Give c(n).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**2 + 6*i. Let n(r) be the third derivative of 0*r + 0 - 84*r**2 + 1\/20*r**5 + 0*r**3 + 0*r**4. Give n(o(a)).\nAnswer: 12*a**4 + 72*a**3 + 108*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2392 and 64.\nAnswer: 19136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + 47*v**2 + 193*v - 45. Calculate y(-5).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/170 and 93\/610.\nAnswer: 10370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((-10)\/(5\/1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 15 = -3*v - 24, 3 = -v - 5*p for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.127 and -3.305637.\nAnswer: -3.178637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*t + g - 23, 5*t - 1856*g = -1853*g - 5 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of 3*q**5\/80 + 5*q**4\/12 + 13*q**3\/8 + 9*q**2\/4 - 4*q - 9. Let v(u) be the first derivative of d(u). Factor v(a).\nAnswer: (a + 3)**2*(3*a + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-one halves of a litre?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 216847?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 102 = w. What are the prime factors of w?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/35)\/((-30)\/3525)*644\/276?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z - z**2 + 8*z + 0*z**2.\nAnswer: -z**2 + 8*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1698 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 6*q - h + 6, 0 = 2*q - 3*h + 8. Let f = -27240 - -1062356\/39. Is q <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1713043 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 2, -7, 0, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000 - -1011101?\nAnswer: 1111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (213\/71)\/(((-1)\/(-1))\/(-1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -4637*h - 2898108. Determine w(-625).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a kilogram in grams?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2534, -6699, -13638, -23345, -35814, -51039, -69014, -89733?\n\"Answer: q**3 - 1393*q**2 + 7*q - 1149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2 + 3*f - 4*f - 1. Let n(h) be the third derivative of 7*h + 2\/3*h**3 + 16*h**2 - 1\/8*h**4 + 0. Determine -7*c(x) + 2*n(x).\nAnswer: x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, b: 1, c: 2, u: 1, k: 1}. What is prob of sequence ggck?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**4\/3 - 34*x**3\/3 - 220*x**2\/3 - 104*x = 0.\nAnswer: -26, -6, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147414 is divided by 234.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 78 and 6143436?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - 2. Suppose 2*c - n + 3 = -0, 12 = 2*c + 4*n. Give f(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5116877 divided by 89.\nAnswer: -57493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -70 - 19*d + 96 - d**3 - 27 + 2*d**2 to the form g*d**2 + s*d + v + u*d**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.21, -3551, 5?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3664751?\nAnswer: 23, 159337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57 divided by -530.\nAnswer: -57\/530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5 - 2) + -11 + 10. Let r(u) be the third derivative of 0*u + 0*u**6 + 0 + 0*u**5 + 1\/105*u**7 + 0*u**4 + v*u**2 - 1\/6*u**3. Differentiate r(g) wrt g.\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*g - 3*g + 0*g)*(-1 + 2 - 2) + 5*g - 4*g + 3*g)*(-7*g + 67 - 67) - 2*g**2 + g**2 + 4*g**2.\nAnswer: -11*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -60 or -15?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 73 - 6. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, y: 3, d: 4, m: 6}. Give prob of sequence dd.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -4*j + 14 + 11, -4*q = -5*j + 45. Suppose 3*z - 5*z + 10 = -4*k, 0 = -2*z + 6. What is the remainder when 6 is divided by k*(q - (0 + -3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -0.1 (b) 4 (c) -2 (d) 3\/8 (e) -0.19 (f) -0.05 (g) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6 + (-16)\/(-12) + 5 + 0. Let 0 + 1\/3*d**5 + 0*d + d**4 + d**3 + u*d**2 = 0. Calculate d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**5\/9 + 14*j**4\/3 - 98*j**3\/3 - 4802*j**2\/9 + 9604*j\/3 = 0. What is j?\nAnswer: -21, -14, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -310*m + 206. Let q be z(-28). Suppose -7*s + q - 1543 = 0. What is the hundreds digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zvv when three letters picked without replacement from vvvzwvwvzzvvvvvzwwz.\nAnswer: 25\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -66886, -130095, -193304?\n\"Answer: -63209*m - 3677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41*w**2 + 4*w**3 + 1 - 35*w**2 + 82*w**2 to the form k*w**2 + h + m*w**3 + j*w and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l**5\/5 - 80*l**4 - 12*l**3 + 1192*l**2 + 4096*l\/5 - 1920 = 0 for l.\nAnswer: -3, -2, 1, 4, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 814 and 93?\nAnswer: 75702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 228*n - 7. Let g = -3 - -5. Is v(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2375.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 218202 to the power of 1\/2, to the nearest integer?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3 + 232335*o**2 - 6972942*o - 14875200.\nAnswer: 3*(o - 32)*(o + 2)*(o + 77475)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -2642.4?\nAnswer: -792.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 128 + 126 = 4*l, 0 = 3*l + 4*p + 4. Which is bigger: l or -22\/61?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of -b**5\/10 - b**2 + 2*b. Suppose -4*t = 7 + 5. Let s(d) be the first derivative of d**4\/4 + d - 17. What is t*z(p) - 5*s(p)?\nAnswer: p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1471.27 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 87, 4, 81307 in ascending order.\nAnswer: 4, 87, 81307","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15)\/(-3)*(1 + 11\/(-5)). Let u(w) be the third derivative of 7\/24*w**4 + 1\/60*w**5 - 3*w**2 + 0 + 0*w + 1\/6*w**3. Give u(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -13*s. Let c(r) = 5*r + 9. Let l(g) = -g - 2. Let a(m) = -4*c(m) - 18*l(m). What is a(y(u))?\nAnswer: 26*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -537 = 36*p - 39*p. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.586 + -0.014. Let r = f - -9.144. What is r rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6728*a**2*b**3*c**3 - 23*a**2*b**2*c**2 - 52*a**2*b**2*c + a**2*b**2 - 6*a*b*c - 2*b**3*c**3 - 2*c**3 wrt b.\nAnswer: -40368*a**2*c**3 - 12*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -929 - 2083. Let s = o + -498. Is 18 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -879 - -858. Let x = -4.8 + -17.2. Let s = r - x. What is the second biggest value in -5, 1\/3, s?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 11.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g - 347*g**4 + 347*g**4 - 7*g**5 wrt g?\nAnswer: -140*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -0*b - 54. What is the third smallest value in b, -0.5, 1\/11?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -3 - 2. Suppose 0*r = i*r - 15. Solve -4*q - 17 = 4*o + 7, 22 = r*o - 5*q for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 14536, 14482, 14400, 14290, 14152, 13986?\n\"Answer: -14*c**2 - 12*c + 14562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (7 - (-4 - -23)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 33614?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, e: 2, f: 1, l: 2}. Give prob of sequence eeef.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 9*g**2 - 24*g + 21. Let a(v) = -3*v. Give a(y(u)).\nAnswer: -27*u**2 + 72*u - 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16? (a) 4 (b) 5 (c) 0.3 (d) -30 (e) 0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8944 divided by -104.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60 + 55 + 158)*(2*c**5 + 3 - 3 + (0*c**2 - 3*c**2 - 4*c**2)*(3*c**3 - 3*c**3 + 2*c**3)).\nAnswer: -3276*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((-16)\/(-3))*(-4)\/2.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1010083 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 577*c**3 - 140*c**3 - 138*c**3 - 140*c**3 - 135*c**3.\nAnswer: 24*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 1 - (-18 + 15 + (-6 - 5))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.402 + -6.4. Let o = 0.102 - l. Put o, 3\/2, 1, -4 in ascending order.\nAnswer: -4, o, 1, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 14*k**2 + 15*k + 7. What is the remainder when 31 is divided by q(15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + (-395)\/6 + 10\/(-60). Let p = c - -58. Let i(n) = -6*n**2 - 2*n. Let l(t) = 7*t**2 + 2*t. Suppose 0 = 3*m + 2*m + 25. Determine m*l(d) + p*i(d).\nAnswer: d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**5 + 978*x**4 + 750*x**3 - 72600*x**2 + 171375*x + 243750 = 0. What is x?\nAnswer: -325, -10, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 228410 and 161?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (32\/(-12) + 3)\/((-192)\/(-37263744)).\nAnswer: 2, 7, 4621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 AM and 6:05 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + 6*v**2 - 21*v - 13. Let i be y(3). Suppose 0 = -i*b + 4*d + 2432, -5*b + 12*d = 7*d - 2430. Is 34 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -n + 2*t, n - 3*t - 7 = -n. Suppose 5*d + 3*z - 1129 = 0, 0 = -n*d - z + 613 + 520. Suppose -3*c + 0*q = -q - d, -2*c + 5*q = -134. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 + -7)*(-12)\/15. Suppose 1652 - 6928 = -k*j. Suppose 12 = -4*l - 0*l, -4*w + j = -5*l. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) 2\/3 (c) -6\/7 (d) -31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8169228?\nAnswer: 2, 3, 75641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -5 + 2*p + p**2 + 2 + 2 - 1. Does 11 divide o(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -11214*r**2 + 1323256*r - 470. Determine t(118).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6 - 12)*124\/3. Let t = m + 1274. What is the highest common factor of 10 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/14 in 6\/11, 0.4, -2\/15, -2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-2\/7))**31)**(-28) assuming z is positive.\nAnswer: z**(-1116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 2*t**5\/5 + 1364*t**4\/5 + 48438*t**3\/5 - 324908*t**2\/5 + 615136*t\/5 - 340032\/5 = 0.\nAnswer: -644, -44, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 141 and 376?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2111, 77, -5.\nAnswer: -5, -3, 77, 2111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10983.7 rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 20, b = -5*o + 89 + 36. What is the greatest common factor of o and 112?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 52\/9 - 50\/9. What is p in -2\/9*p**3 - b*p + 0 + 4\/9*p**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10415*k*t - 2*k + 544*t - 3022238 with respect to t.\nAnswer: 10415*k + 544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, k: 2, r: 1, o: 3, l: 3, t: 3}. What is prob of picking 2 k and 1 t?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 16707*f**4 - 16703*f**4 + 0*f**2 - 7*f**2 - 166*f**3 + 6*f**2 - f as l*f**2 + o*f**3 + c + b*f + z*f**4 and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 277813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27670 (base 9) to base 15.\nAnswer: 5869","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1798 - -c?\nAnswer: 17a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 612536702?\nAnswer: 2, 37, 59, 140297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -204150054 - 51?\nAnswer: -204150125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**3 + 2*d**3 + 3*d**3)*(-5*d + d**2 + 5*d) + (d + 1 - 1)*(8*d**2 - 5*d**4 - 8*d**2).\nAnswer: -2*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 935 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 554498.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.3, 33411776, 2\/9, -4\/5 in decreasing order.\nAnswer: 33411776, 2, 0.3, 2\/9, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (-13927)\/1197 - 14\/(-21)?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**2. Let q = 92 - 89. Let k be (-8)\/(-12)*q + (15 - 2). Let r(i) = -2*i**2 - k*i**2 + 14*i**2. Give r(n(a)).\nAnswer: -12*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-4) + 85\/20. Let l(p) = -13*p - 24. Let b be l(-5). Suppose -g*d - b = -157. List the prime factors of d.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/9 and 5\/58?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63995?\nAnswer: 5, 12799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/(-4) - (-2)\/4. Suppose -2*z + 3 = 2*q + z, 30 = 5*q + v*z. Calculate the remainder when 25 is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 888874165 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -5*p**3 - 7*p**2 + 5*p - 3. Let w(k) = -8*k**3 - 14*k**2 + 9*k - 7. Let h(u) = -5*q(u) + 3*w(u). Determine h(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 0*b**2 + b**2 + b**2. Let g(r) be the second derivative of r**3\/2 + 3*r. Determine g(o(p)).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 0*((-5)\/(-2) + -3)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 + t. Let y be z(1). Let c = y - -1. Suppose 0 = -2*g + 5 + c. What is the highest common divisor of g and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of a**5\/5 + 10*a**4\/3 + 22*a**3 + 72*a**2 - 25*a. Factor s(z).\nAnswer: 4*(z + 3)**2*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4380 divided by -876\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1693 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32 - 29. What is the nearest to 0.1 in -2\/9, -0.2, j?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(-19)*(t**(1\/16)*t)\/t*t**(-2\/3)\/(((t**(1\/8)\/t)\/t)\/t) assuming t is positive.\nAnswer: t**(-755\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-4))\/((-2)\/4). Let w(q) be the second derivative of q**4\/12 - q**3\/3 + 14*q. Let i(c) = -c**3 + c**2 - c + 1. Calculate x*w(v) + 2*i(v).\nAnswer: -2*v**3 + v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h - 2. Let r(g) = -1. Let f(s) = l(s) - r(s). Let w(u) = 6*u - 2. Determine 4*f(m) - w(m).\nAnswer: -2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*w - 22*w - 4 = 0. Suppose w*y - h = 5*y - 6, 2*y - 3*h + 8 = 0. Find the first derivative of 7*b**3 - 6 + y + 0 wrt b.\nAnswer: 21*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6553*x**3\/9 - 46129*x**2\/9 - 50618*x\/9 + 688\/3 = 0. What is x?\nAnswer: -1, 258\/6553, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 1485*n**2 + 55*n - 207. Is m(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3470446?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lvvvlllvvv. What is prob of sequence vvlv?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-3)*11628\/714\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 + 31 = -5*n - 4*u, -5*n = 2*u - 18 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 - -5. Let o(a) = -a**3 - 7*a**2 - 2*a - 1. List the prime factors of o(k).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12512 + 12512.003. What is the closest to y in -2\/5, -2, 2, 2\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1918259 to the nearest integer?\nAnswer: 1385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1070*d**2*t**3 - 3*d*t**3 + 90*d wrt d?\nAnswer: 2140*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 235614 greater than or equal to 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6426*i**2 - 8*i - 12017 wrt i.\nAnswer: 12852*i - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240354166?\nAnswer: 2, 13, 97, 7331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j - 3*t + 11, 3*t + 2*t = 4*j + 33 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1956913*w**3 - 158*w**2 + 2807*w?\nAnswer: -11741478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.06, 4, -1\/6?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f + 6684 = 5*a + 6661, 5*f - 2*a = -17 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 3*r**2 - r + 6. Let u be z(-4). Let k = 62 - u. Calculate the highest common divisor of 192 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -u - 9 + 5, 4*i - 2*u = 0. Find the third derivative of -1120*q**2 - 26*q**3 + 2*q - i*q + 1143*q**2 wrt q.\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-20)\/6)\/(2\/(-3)). Suppose 2*w - 3 = -x*f + 9, 5*f = -w + 16. Calculate the remainder when 4 is divided by f\/6*(-1 + 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228)*1*4)\/(sqrt(12) - (sqrt(1728) - (sqrt(1728)*2 - sqrt(1728)))) + 2 - (sqrt(95)\/sqrt(20) - sqrt(304)*2 - -6*(sqrt(684) + -1*sqrt(684))))**2.\nAnswer: 46*sqrt(19) + 10067\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*h + 57*h + 1680625 = 0. List the prime factors of h.\nAnswer: 5, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6970326 and 2178.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 52\/(-9) + 3 - (-4)\/(-18)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/(sqrt(24)\/sqrt(3)) + (sqrt(13) - ((sqrt(13) + 0)**2 + -2)).\nAnswer: -11 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -112751\/16 or -7046?\nAnswer: -112751\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -105\/1821688 and 37\/14344.\nAnswer: 1821688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 785?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/4)\/(15\/20). Let m be (-2)\/q*(-7 - -10). Let l(n) = n**2 - 2*n. What is the units digit of l(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001010110 - 10111111100110?\nAnswer: -10110110010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -1 - (-75 - -56)) + -6 + 1.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -19*x**2. Let k(u) be the first derivative of -55 + 10*u**2 + 11 - 24 - 27. Give j(k(a)).\nAnswer: -7600*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2275, 4564, 6831, 9064, 11251, 13380, 15439, 17416?\nAnswer: 19299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x**5 - 3*x**5 - 5*x**5)*(1 + 0 + 0)*(-38 - 6 + 81).\nAnswer: -148*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 6975432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 65 + 3?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111011100001001101010101 - -1000110?\nAnswer: 111011100001001110011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (5 + (-5 - (3 - 6)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11053.\nAnswer: 7, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6581846 is divided by 11309?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.664863 - 0.63023. What is g rounded to four dps?\nAnswer: 0.0346","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -93 + 97. Let v(b) = 2*b**2 - 7*b + 3. Give v(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12411.9 seconds to hours.\nAnswer: 3.44775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*q**5*y + 2*q**5 + 2*q**2*y - 2*q*y - 16 wrt q?\nAnswer: 360*q**2*y + 120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 6*p + 2. Let v be n(-5). Suppose 0 = 4*a - 0*a + 2*r + 12, 4*a = 4*r - 12. Do v and a have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 45 - 26. Is i a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*z**3 - 22 - 20 + 64 - 22.\nAnswer: 17*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -7 (b) 12\/7 (c) -1\/61 (d) 0.3 (e) -2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f + 297 - 297.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 - 21*v - 37. Let i be b(-19). Let a(r) = 2*r - 3. Let u(h) = -h - 1. What is i*a(x) - u(x)?\nAnswer: 3*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 5*p = -p + 8, -4 = -5*k + 2*p for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + -1. Let n = c + 1. Let i(j) = -n - 5*j + 3*j + 5. Determine i(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45612, 45624, 45636?\nAnswer: 45648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10253 - 520?\nAnswer: -11213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -182202*h**4 - 477*h - 22 wrt h.\nAnswer: -2186424*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 4\/23 (b) 1\/5 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -13983 and -0.367.\nAnswer: -13983.367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -42\/27425917 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(-2)\/678*57\/(-38). Let j = q - -108\/565. Which is the nearest to -8\/5? (a) 0.3 (b) j (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*77.\nAnswer: -385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -696*f + 281. Give u(0).\nAnswer: 281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 3*g - 8. Let f(k) = k**2 + 21*k + 115. Let l be f(-10). Is g > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 25*h = 493. Let k = h + -10. Let x(p) = 5*p - 6. Let f be x(5). What is the greatest common factor of f and k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9 - 175835505\/55) + 10\/55. Round i to the nearest one hundred thousand.\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, w: 1, f: 3, e: 1, i: 3, q: 2}. What is prob of sequence swe?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 13. What is the second smallest value in -1\/6, p, -2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 151450 (base 7) to base 13\nAnswer: 104b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 7*t - 7. Let q be i(-6). Let p be q\/2 - 99\/(-22). Suppose j = p*j - 72. 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*((1 + sqrt(99))*1*-3)**2 + -4 + ((1*sqrt(1100) - sqrt(1100))**2 + (sqrt(11) - ((sqrt(66) + sqrt(66)*2 + sqrt(66))\/sqrt(6))**2 - sqrt(11)))*4.\nAnswer: 108*sqrt(11) + 1092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-25) - (0 + 0)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -3*v - 9. Let h(a) = -a**2 + 4*a + 5. Let t be h(0). Suppose b = z + 2, 2*z - 44 = 6*z + t*b. Give q(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -184 + 317. Is 15 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y + 7. Let m be b(0). Calculate the highest common divisor of 56 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-4) - (-46)\/(-8). Let v be 1\/j - (-1)\/(-2). Let d = 2 + -3. Which is the third biggest value? (a) -1\/4 (b) v (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 68985, 137980, 206979, 275982, 344989, 414000, 483015?\n\"Answer: 2*y**2 + 68989*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - (605\/20)\/11. Which is the third smallest value? (a) -1 (b) u (c) 9 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3*z. Let r(j) = -5*j**2 + 2. Let v(s) = -s**2 - 1. Suppose 4*m - 3*f = 2*m + 16, -3*m + 2 = f. Let i(b) = m*v(b) + r(b). Give w(i(x)).\nAnswer: -21*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 49\/((-8820)\/144)*-25\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-17)*u*u**(2\/25)*u assuming u is positive.\nAnswer: u**(-373\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -153?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxxoxxxxxx. What is prob of picking 1 o and 1 x?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (235\/(-35) - -7)*14. Let y be (t - 284\/70)*(2 - 7). Sort y, -5, -2\/11, 2\/15 in descending order.\nAnswer: y, 2\/15, -2\/11, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -558312 divided by 279156\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 9:33 PM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -1718*v + 45742. Determine m(27).\nAnswer: -644","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -45 - -45. Suppose x = 5*g - 1125 + 285. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35 - 31*h**2 + 10*h**2 + h - 35 to the form u + s*h**2 + w*h and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.061 + 0.161. What is the fourth biggest value in 4, u, -3, -2\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -8*q**2 + 6*q - 2. Let g(k) be the first derivative of -3*k**3 + 7*k**2\/2 - 2*k + 51. Determine -6*g(d) + 7*t(d).\nAnswer: -2*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -16. Let u = -4.201 - -0.201. Let h(n) = n - 8. Let k be h(8). Which is the nearest to k? (a) u (b) 3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1092, -3822, -8220, -14268, -21948, -31242, -42132, -54600?\n\"Answer: 3*v**3 - 852*v**2 - 195*v - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a millennium in centuries?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 46*z**5 + 0*z - 79*z**5 + 2*z - 346*z**2 + 52*z**5 - 504*z**5 wrt z.\nAnswer: -29100*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**4 + 292*i - 292*i - 2*i**4 + 0*i**4 + 4*i**4 + (-2*i**3 + i**3 - 2*i**3)*(8 - 4*i - 8).\nAnswer: 13*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2077249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of z**5\/60 + 13*z**4\/24 + 7*z**3\/3 - 28*z**2. Let p be t(-12). Solve -i + 17 = p*i + 4*h, -3*h - 9 = -5*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**3*c**(4\/7))**23 assuming c is positive.\nAnswer: c**(575\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.06 + -0.36. Let x = 826.6 + -831.6. Sort 3\/5, x, l in descending order.\nAnswer: 3\/5, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/((-21)\/(-21)*(-52)\/39).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 4*a**3 - 33*a - 124. Give v(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 0 + sqrt(684) + 2*sqrt(684) - (0 + -2 + sqrt(190)\/sqrt(160))**2.\nAnswer: -19\/16 + 19*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**3 + 0*r**3 + 2*r**3)*(-r + r - r) + r**4 + r**4 - 4*r**4 + (1 + 2*r**2 - 1)*(-r**2 + 2 - 2).\nAnswer: -6*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/93 (b) 9 (c) 1\/4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -4*((1*sqrt(468))**2*-2 - sqrt(468)) - ((-4*sqrt(468) - sqrt(468))*3 + sqrt(468) - (-5 + sqrt(468) + -5))**2.\nAnswer: -101654 + 1824*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, w: 2, u: 2, r: 5, j: 1, e: 8}. What is prob of sequence ej?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n, w + 5*n - 2 = 2*n. Suppose 3*v = 6, -3*v - 5759 = -w*m + 3235. Let i be 280*(-7)\/(21\/m). Round i to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3067, 2693, 2319?\n\"Answer: -374*k + 3441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - 8. Let q(r) = 6*r**3 + 9*r**2 + 5*r - 20. Let f(h) = h**3 + 2*h**2 + h - 4. Let k(l) = g*f(l) + 2*q(l). Let x be 2*(-1)\/2*-4. Determine k(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1a69b6 + -3?\nAnswer: -1a69b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 161900\/1661 or 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.06 (b) -2\/15 (c) 0.2 (d) 11245\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 92239507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1635, 6524, 14667, 26064, 40715, 58620?\n\"Answer: 1627*o**2 + 8*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + 32*j + 34. Give b(32).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -11*a**3 + 4*a**2 - 4*a + 4. Let x be k(-6). Suppose -2*v = 5*u - x, 39*u - 5122 = -4*v + 42*u. What are the prime factors of v?\nAnswer: 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38 and 7163?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -10*r - 112. Give b(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17 and 28?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p**1*p)))**(2\/111))**(-44) assuming p is positive.\nAnswer: p**(-176\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16\/12*9\/12. Is -1*r*66*(-5)\/2 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w + 6 = -44 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 195*a**4 + 3*a**3 + 193*a**4 + 2*a**3 to the form u + p*a**3 + b*a + j*a**4 + m*a**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -659.06 times 0.4?\nAnswer: -263.624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 290 - 604 = -2*i, c - 234 = -4*i. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/202 > 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12 + -5560061?\nAnswer: -5560060.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 0.03, -8, -0.12, 11 in ascending order.\nAnswer: -14, -8, -0.12, 0.03, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 145.64735 to 1 decimal place.\nAnswer: 145.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-33 - k**2 + 3*k**2 + 32)*(955*k + 23*k**2 - 68*k - 30*k**2) to b + o*k**4 + m*k**2 + p*k**3 + x*k and give o.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -24315762855 and -0.45.\nAnswer: -24315762855.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*w**3 - 5298*w**2 + 2339067*w = 0. What is w?\nAnswer: 0, 883","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.7869 and -1.\nAnswer: -0.2131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in -4\/15, 0.5, -2, 2\/21?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 2\/5*d**3 + 132\/5*d**2 + 496\/5 + 504\/5*d = 0.\nAnswer: -62, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 1308*f - 15387. Determine q(12).\nAnswer: 309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 395 divide 1242178008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 16 = 0, 128 = 3*o - o + 3*w. Suppose k = -4*k + o. Which is smaller: k or 15?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16\/7*(-70)\/(-60))\/((-660)\/(-45))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t**2 - 5*t + 7*t + 8*t**2 + 6*t.\nAnswer: 4*t**2 + 8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-seven fifths of a decade?\nAnswer: 888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 292560794 to the nearest integer?\nAnswer: 17104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*u - 14*u - 10*u**3 - u**3 + u**2 - u**2 + (-2 + 1 + 0)*(2*u**3 + 3 - 3) to the form t*u**3 + j + r*u**2 + s*u and give t.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 327 and 54?\nAnswer: 5886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p**2 - 3*p**2 + 5*p**2)*(-1 + 1 + 3)*(-5*p - 15*p + 8*p)*(-1 - 1 - 3).\nAnswer: -360*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/2952 and 7\/60894.\nAnswer: 9986616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -17, -30, -1, 2, -48 in increasing order.\nAnswer: -48, -30, -17, -1, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = n - 153534, 0 = -3*n - 2*z + 314039 + 146478. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 + 34. Let v be (-38)\/(-5) - 120\/200. Suppose 7948 = n*r - v*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -89 (b) 0.4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -11.6, -1416143 in increasing order.\nAnswer: -1416143, -11.6, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -248\/19 + 973\/76. Let x = -3.1 + 3. Let g be 26\/30 - (-1)\/(-1). What is the closest to x in -1, g, d?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98) + 3)*1 + sqrt(98) - sqrt(98)) + 4 + -2 + 3.\nAnswer: 8 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -122*a - 4764. Calculate j(-42).\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13948 (base 13) to base 11.\nAnswer: 25664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v. Let q(u) be the third derivative of 42*u**4 + 2*u**2 + 243*u. Determine q(g(d)).\nAnswer: -1008*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1021444099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31 - 29. What is the tens digit of -60*2\/(-8)*b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/7 of a week in hours?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.332 + 0.068. Let p = 4 + -3.85. Let w = 0.15 - p. Which is the nearest to w? (a) 3\/2 (b) v (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s - 1. Let d(i) = i**3 - 10*i**2 + 5*i - 23. Let r(h) = d(h) + 2*o(h). Let w be r(10). Sort 2, w, 3, -3 in decreasing order.\nAnswer: w, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/7 + 26634*w**2.\nAnswer: -2*w**2*(w - 93219)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1097 or 2585.4?\nAnswer: 2585.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m + 10. Calculate the remainder when 6 is divided by r(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -34*d + 48. Let o be k(8). Is -223 less than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 201*m - 150. What is the lowest common multiple of r(1) and 363?\nAnswer: 6171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*d + d - 6*d - d - 6*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 943 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 466 minutes after 5:22 PM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 350707?\nAnswer: 350703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 28892753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -71 + 69. Let v = z - 56. Let n = v - -55. Let t(i) = 6*i**3 + i - 5. Let l(s) = 5*s**3 + s - 4. Calculate n*t(x) + 4*l(x).\nAnswer: 2*x**3 + x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39678.803 - -39604. What is u rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*w - 362744 = 161909. What is the thousands digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ey when two letters picked without replacement from eeheyhhiiyhheeheehe.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r - 5. Let v be ((-6)\/3 + 0)*18\/(-12). Let l(x) be the first derivative of x**2 - 14*x - 1. Give v*l(c) - 8*t(c).\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14971170 to the nearest integer?\nAnswer: 3869","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(10\/4))\/(((-3)\/15)\/(86\/10535)).\nAnswer: 4\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 2. Let d = 0 + u. Suppose d = -2*g + 3*g - 10. What is the remainder when 28 is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.074 + -5.074. Let l = -28 - -33.1. Let m = l + n. Round m to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -3*q - 2*h, -5*q - 18*h + 21*h = 37 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y + 24*y + 18*y + (4*y - 2*y + 0*y)*(7 + 12 + 10).\nAnswer: 97*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -3*h**2 - h - 3. Let w be x(-1). Let d be 4\/7*w\/((-100)\/14). Is 0.68 greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4191 + -4188. Suppose 2*u - 60 = -2*u. Suppose 0 = -4*t + 5*t. Solve -2*w + 5*f + u = t, r*f = 2*w + 3*w - 28 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - d + 8675, l + d + 2895 = 3*d. Let q = 5250 + l. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmvxmxbomoo. Give prob of sequence bxvm.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 183c65 (base 14) to base 5.\nAnswer: 204341300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 11:50 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-1043)*2*3150\/450.\nAnswer: -2\/149","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s\/(s*s\/(s\/s**(2\/9)))*s)*s**(-1\/11)\/s)**(-9\/10) assuming s is positive.\nAnswer: s**(37\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*u + 2725 = -30. Let j = u - 139. Suppose -3*s = s - 24. What is the smallest common multiple of s and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 10*q**2 + 10*q + 4. Let c be n(11). Let d be c*(294\/1 - 1). Round d to the nearest one hundred.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 847.597 centuries?\nAnswer: 84759.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 46488.\nAnswer: 46488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, c: 10, x: 3, d: 1, w: 1}. What is prob of sequence wx?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -17470, -34939, -52408, -69877?\n\"Answer: -17469*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 519552 to the power of 1\/2, to the nearest integer?\nAnswer: 721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 1077725*y - 37720375. Give k(35).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*k**2 - 6*k**2 - 8*k**2.\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 4 - 1 - 2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 24 (b) -0.03 (c) 67 (d) -3 (e) -13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13261725 - 12007*d - 13261725.\nAnswer: -12007*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u**2 + 0*u**2 + 889*u**3 + 846*u**3 - 1662*u**3.\nAnswer: 73*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 5*t, 16 = 5*d + 28*t - 29*t for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3401 + 3421. Solve -23*b - 3*v + 20 = -21*b, -3*b - 2*v = -l for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**4)**(-2\/63))**(1\/16) assuming w is positive.\nAnswer: w**(-1\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1478.7 + 81.86.\nAnswer: -1396.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2038090 divided by -2\nAnswer: -1019045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 6*y**2 - 9*y + 3. Let z be o(4). Let p(x) = -7*x - 2. Let i be p(z). Let w = i + -1. Solve -d - w + 3 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(63)\/sqrt(48)*-3)\/((((sqrt(243)*-1 - sqrt(243)) + sqrt(243) + sqrt(243))\/sqrt(9) - sqrt(27))*4)*3.\nAnswer: 9*sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 263 - 10858*j - 136 + 10851*j - 128.\nAnswer: -7*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -5*u - 7 - 11*u - 6 - 1. What is the units digit of p(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffffvkffvvfkfkkv. What is prob of picking 2 k, 1 f, and 1 v?\nAnswer: 54\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21 + -5 - -1) + -23 - -1*2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -159 - -359. Let u be (3 - (-125)\/(-10))\/((-4)\/i). What is the highest common divisor of 19 and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-39)\/(-45) - 2\/3. Let l = -3\/10 - y. Which is the second smallest value? (a) l (b) 1\/3 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 9) to base 13\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -20*o + 9. What is the hundreds digit of y(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35667\/139, -1\/4, -0.3 in ascending order.\nAnswer: -0.3, -1\/4, 35667\/139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -425, 4, 2, -2.\nAnswer: -425, -3, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -176151 + -3?\nAnswer: -176154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1069441 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (4 - 9)) + (16 - 14 - -24).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14075880 rounded to the nearest one million?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(17\/5)*b**(5\/3)\/b*(b\/(b**(-25)\/b))\/((b**(2\/25)\/b)\/b))**(-27) assuming b is positive.\nAnswer: b**(-22266\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - 7*a + 1. Let v(g) be the first derivative of -2*g**3\/3 + 15*g**2\/2 - 2*g - 55. Determine 4*v(q) + 9*y(q).\nAnswer: q**2 - 3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1269\/564*10176\/9. Calculate the greatest common factor of z and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 126, 4 in increasing order.\nAnswer: 4, 5, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*f - 7*f**2 + 14*f)*(36*f**3 + 19*f**3 + 49*f**3).\nAnswer: -728*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24*f**3*s**2 + 21*f**3*s + 696*f**3 + 4*f**2 + f*s**2 with respect to s.\nAnswer: 48*f**3*s + 21*f**3 + 2*f*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/7 + 80\/14. Let c(j) = j**3 - 4*j**2 - 8*j. Let g be c(i). Suppose 4*x = 3*d - 3 + 4, -x = -d + 1. What is the highest common divisor of g and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 AM and 11:14 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -10200112202110 (base 3) in base 15?\nAnswer: -28a850","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1 + sqrt(396) + 2) - ((-2 + sqrt(396))*6 - (2 + sqrt(396) + 1))**2)*-6 + 0.\nAnswer: -5184*sqrt(11) + 60786","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(32) + sqrt(2)) + (4*sqrt(11)*1 - sqrt(11)).\nAnswer: 16*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.07 + -3.07. Let v be 1\/(10\/(-4) - -3). Suppose 0 = -v*y - y. What is the nearest to 0.1 in b, y, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3600 = 3*i + 3*z, -i + 9*z = 4*z - 1182. Let v be (108\/i)\/((-22)\/(-77)). Which is the closest to -1? (a) v (b) 0.3 (c) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22889*r**3 - 3*r - 10130*r**3 + 9*r.\nAnswer: -33019*r**3 + 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 13 + -3 + -6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15.4 and -874.\nAnswer: -13459.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 3*f**3 - 4107*f**2 - 7878678*f - 7874568 = 0.\nAnswer: -1074, -1, 2444","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.12 + -4.36. Let y = 11.76 - j. Which is smaller: y or 9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5758980.22 to the nearest ten thousand.\nAnswer: 5760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + 0 + (-66 - -74)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - b + 7*b - 5*b)*(13 + 3 - 2).\nAnswer: 14*b + 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1088*k**2 - 616*k**2 - 471*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 21*v**2 - 91*v + 615. What is the remainder when s(7) is divided by 333?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, k: 3}. Give prob of sequence kkek.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 285239?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5729 - 5684. Sort f, -5, 1, 31 in decreasing order.\nAnswer: f, 31, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 7387943.\nAnswer: 73879430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -3*(sqrt(3)*-3 + sqrt(3)) + sqrt(3).\nAnswer: -5 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 33587810?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 2400322?\nAnswer: -2400332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -59*h**2 - 3. Let m(y) = 60*y**2 + 4. Let l be (8 + -5)\/(((-297)\/18)\/11). Calculate l*m(f) - 3*d(f).\nAnswer: 57*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 3*m - 9, -5*z - 43*m = -38*m + 5. Solve -25*k + 26*k + 3 = z*l, -5*l = -5*k - 15 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 128937589?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 82603\/634075 - -64\/1951. Calculate the common denominator of j and 11\/884.\nAnswer: 22100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1544 and 2229922?\nAnswer: 8919688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 15) to base 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 1 + 1)*(-545 - 532 + 17*q + 1088).\nAnswer: 17*q**2 + 11*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11651421 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.941 times 28\nAnswer: 26.348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*q**2 - 81*q**2 + 30*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -117 + 127. Calculate the remainder when (-3 - -10 - -4) + 0 is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1098 - 1097. What is the second smallest value in -2\/9, 1.2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**5\/w)\/w**(-5)*(w*w\/w**(-3\/5))**(-9\/4) assuming w is positive.\nAnswer: w**(63\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 333 is divided by 40.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(-1) - -1 - 6. Solve -5*c = -4*l - r*c + 10, -l + 5*c = 2 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000007739326 to 7 decimal places.\nAnswer: -0.0000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27485786?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -13*a**2 + a + 27. Let v(j) = 2*j**2 - 4. Let d(h) = u(h) + 6*v(h). Let n(b) = -b**2 - 6*b - 5. Let g be n(-4). What is d(g)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + 0 - 9\/(-3). Suppose -3*t = 2*r - 203, -c*r = 2*r + t - 501. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.03 - -0.17. Let t = -0.284 - -143.284. Let a = t + -139. Sort -2\/7, y, a in ascending order.\nAnswer: -2\/7, y, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5685 - 5681. Solve 0 = -4*d - u - 4, d + 5 = -3*u + r for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 5*v**2 - 5*v - 3. Let j be g(-3). Let l = j - 0. Does 14 divide ((-2)\/l)\/(1\/75)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5195*s + 195*s = 175000 for s.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 5*z + 1339 = 4*z, -2*t - 4*z = -540. Suppose -58*y + 54*y = t. Let o = 71 + y. Sort o, 14, 3 in increasing order.\nAnswer: 3, o, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 - 8 = -2*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173453?\nAnswer: 7, 71, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (90\/54)\/(2\/(-6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 309*i - 22917. What is c(74)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 1 - 1. Calculate the lowest common multiple of 6 and 14 - s\/(3\/(-6)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjjpjpjj. What is prob of sequence jj?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of 9*h**2 + 0*h - 1\/6*h**4 + 0 + 1\/30*h**5 + 1\/2*h**3 - 1\/120*h**6. Calculate g(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -5. Suppose -2*r - 4 = 2. Which is bigger: l or r?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j + j + 12 = -9*j. What is the smallest common multiple of 406 and j?\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -691*a**3 - 695*a**3 + 2771*a**3 + 22 - 692*a**3 - 696*a**3 - a in the form o*a + g*a**2 + x + w*a**3 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -795 + 1011. What is the greatest common divisor of h and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2457.00562 to one dp.\nAnswer: -2457","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6680 and 64462?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23040032 (base 6) to base 13.\nAnswer: 1b8bb2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -22 + 5841*i - 3 - 11 - 4. Is n(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50 + -112. What is the tens digit of y\/((6\/4)\/(36\/(-16)))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 63 - 63 = 0. Solve x = -4*y + 3*y + 4, -3*y + 7 = -r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 43.4 + -68. Let i = -17 - w. Let f = -8 + i. What is the third biggest value in -3\/2, f, 5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -90.88 - -92. Let m = u - -2.88. Sort 2\/7, 3, -2, m in descending order.\nAnswer: m, 3, 2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-s - 3*s + 3*s)*(-55 - 34 + 47 + 5 + 0 - 3 + (3 - 1 + 0)*(2 + 0 - 1) + 0 + 0 + 2) to t*s + r and give t.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x - 4. Let d be s(-4). Let y = -14 + 9. Sort y, d, 1 in decreasing order.\nAnswer: d, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 88600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35 - -56. Let u(x) = 11*x - x**2 + 7*x - z*x - x**2 - 6. Let t(c) = -12*c - 3 - 6*c**2 + 4*c - 14. Calculate -4*t(n) + 11*u(n).\nAnswer: 2*n**2 - n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40 - 18441*o**3 - 2*o - 18446*o**3 + 36882*o**3 to m*o + x*o**3 + j*o**2 + i and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4 + sqrt(272) + 1 + 4 - 3*(-2 + sqrt(272))*-3)**2*-2.\nAnswer: -219912 + 10880*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 122715 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: Round -74380 to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 123.2 (b) -182 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -248 in -60, -6, 0, 0.4?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10010 divided by 5.\nAnswer: -2002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 1\/3, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 877*d + 1260 = 933*d + 23 - 51 for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 439.1 - 439.5. What is the nearest to -0.6 in m, -1\/6, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62988 divided by 46\nAnswer: 31494\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 6*d. Let x be q(9). Let c = -38 + x. Let a = 45 - 33. What is the lowest common multiple of a and c?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**3 - 10*p**3 - 14*p**3 + 2*p**3.\nAnswer: -20*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -5201*k**3 - 5 - k + 4 + 5193*k**3 in the form y + l*k**3 + d*k + x*k**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-9))\/(8\/(-156)). Suppose t + 5*a = l, 0*t - a = -4*t + 10. Suppose -2*h = -293 + t. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 197\/1909710 and -23\/48225?\nAnswer: 9548550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 781.304 rounded to the nearest 10?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (17 - 34 - -13 - -19).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 402?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 7501.585 to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v + 1. Let f(w) = 2*w**2 - 1. Let t be f(-2). Suppose 0 = 5*r - t - 8. Suppose r*c = -14 - 13. Let n(b) = -5*b - 5. Give c*z(i) - 2*n(i).\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 493 (b) 2\/9 (c) 1\/2 (d) 3\/8 (e) -2\/19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4132.416 millennia to decades.\nAnswer: 413241.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -1649?\nAnswer: 5\/1649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.09 + 16.51814831.\nAnswer: 16.60814831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -2309475?\nAnswer: -2309475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 0 (c) -0.577 (d) 1 (e) 4\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.97 - 3.8835. Let l = -414.9135 - a. Let t = 415.000446 + l. What is t rounded to five dps?\nAnswer: 0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -6 (b) 2\/15 (c) -1 (d) -2.1 (e) 6\/13 (f) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 2) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -536*l - 2141. Give o(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3*v**2 - 101*v + 34. Let s be k(-34). Solve -74*p + 91*p + 34 = s for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of -647*l**6\/60 - l**5\/30 - l**4\/6 - 281*l**3\/6 + 3556*l**2. What is the third derivative of o(k) wrt k?\nAnswer: -7764","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = n + 4*g, 0 = 2*n - g - 6. Solve 6*i - 22 = -5*v + 3*i, n = i for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3396373 to the power of 1\/2, to the nearest integer?\nAnswer: 1843","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 578?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -2. Suppose -118 = -d*b - 2*b. Let r = b + -36. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 + 6*u - 7. Let s be g(4). Is s > -2\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aadddaadda. What is prob of picking 2 d?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2*q - 6 = q, 0 = -2*b + 2*q. Suppose 0 = 7*g - 5*g - 2. Let l be g*(b - (-5)\/(-3)). What is the closest to l in -3, -0.5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-8) + 33\/(-12) + -2. Calculate the remainder when (12\/(-15))\/(x\/620) is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -80 - -84. What is the nearest to q in 0.1, -2, -1\/8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 38 (b) -0.029 (c) 48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 divided by -3135?\nAnswer: -14\/627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(35\/(-21)*3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -37 + 116 - 5*t**2 + 2*t - 42 - 40 + 3*t**2 - 3*t**3. Determine f(2).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3 + 165*k**2 + 2001*k - 7569.\nAnswer: 3*(k - 3)*(k + 29)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 5 (b) 1\/3 (c) -3 (d) -8 (e) 500734\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.912 + 0.552. Let v = n + 0.36. Which is the second smallest value? (a) 0 (b) 3 (c) v (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17232 and 149907.\nAnswer: 861065808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 45106 to the power of 1\/2, to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -3*b + 24, -2*d + 3*d = -b - 2. Suppose 5*r = -t + 31, 0 = -2*t + 2*r + b - 1. Let f = -3 + t. Sort f, -2, -4.\nAnswer: -4, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 465261826 a multiple of 934?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1049572499 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44 - -4. Suppose 6*h + t = 4*x + 3*h, -x = 2*h - 12. Suppose 64 - x = 2*z. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + (18 - -10 - 18)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -s**5\/2 + 753*s**4\/2 + 377*s**3 = 0.\nAnswer: -1, 0, 754","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224567 + 25367 = -40*z. List the prime factors of z.\nAnswer: 2, 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 8 = -5*l + 20, 3*l - 2*u - 21 = 0. Suppose -2*p - 1666 = 2*a, p + l*a - 78 + 891 = 0. Find the common denominator of -35\/8 and p\/(-140) + (-8)\/40.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 914243636 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 68, -7, 4, 43, 1 in ascending order.\nAnswer: -7, -5, -4, 1, 4, 43, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 194 and 19109.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*m - 5*a, -a - 4 = -4*m + 12. Solve -12 = -3*t, 9*g - 4*g + m*t = -9 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, n: 13}. What is prob of picking 4 n?\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*s = 63 - 44 - 47 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1362 > -1361?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3887570 (base 11) to base 15.\nAnswer: 8ce213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(448) + 3 + sqrt(28) - 4*(-1*sqrt(847) + -4).\nAnswer: 19 + 22*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (9 - 33 - (-14 + 2)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 922043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 151369 to the power of 1\/2, to the nearest integer?\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35958?\nAnswer: 2, 3, 13, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2036034 and 31889.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**4 + x**4 - 4 + 1 + (-5*x + 0*x + 3*x)*(-2*x**3 - 5*x**3 + x**3) in the form f*x + q*x**3 + m*x**4 + r*x**2 + i and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 128.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -953 - 3002 - 796 - 3612050*h + 3617023*h wrt h?\nAnswer: 4973","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + 4*m - 5. Let b be u(-5). Suppose -c + 8 = -g - b*g, -4*g = -2*c + 24. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 8*j**2 + 14*j + 4. Let m be h(-6). Let d be -1 + (3 - 1) - 11. Let w = m - d. Solve 2*n = w*f - 2, -4*f = 2*n + 3*n - 31 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(12\/8)\/(3\/8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -113 - -115.75. Let z = c - 6.06. What is z rounded to one dp?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 44, 162, 330, 524, 720, 894, 1022?\n\"Answer: -4*k**3 + 49*k**2 - k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -j + 3*k, -4*j + 3*k + 0*k = -1. Let t be -1*(-9 + 2 + 2). Suppose -2*n + 5 = -t. Sort n, 2, j in increasing order.\nAnswer: 2, j, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 2*y**3 - 7 - 2*y - 8*y**4 + 4*y**4 to the form l*y + p + i*y**2 + d*y**3 + z*y**4 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 393*f**2 + 1989*f + 120.\nAnswer: 3*(f + 5)*(131*f + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -244 - f**2 + 125 + 4*f**3 + 121 + 3*f**4 in the form p*f**4 + g + t*f + d*f**3 + m*f**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.094852258 to 4 decimal places.\nAnswer: -0.0949","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 65\/(-20)*2*168\/(-78)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -442*b**3 + 2*b**2 - 2222 wrt b.\nAnswer: -2652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.17, 2, -5, -0.03, 3\/2, 1 in ascending order.\nAnswer: -5, -2.17, -0.03, 1, 3\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 10 = 2*b - 11, -6 = 3*b. Let y = c - -29. Let d be (-18)\/y - (-818)\/6. What is the greatest common factor of d and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of u**6\/180 + 22*u**3\/3 + 31*u**2. Let w(t) be the first derivative of j(t). Let h(i) = -8*i - 2*i - 6*i. Determine h(w(k)).\nAnswer: -32*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5\/(-2))\/((-45)\/108). Suppose -k + 31 = 2*a - s*a, 0 = 5*k - a - 79. What is the highest common divisor of 15 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v*v\/v**(-35))*v)\/v)\/(v\/v**1*v))\/(v*v*v*v\/v**10*v)**9 assuming v is positive.\nAnswer: v**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 1. Let j(a) = 16*a**3 - 6*a**2 + 3*a - 8. Let i(v) = j(v) + 6*o(v). Is 15 a factor of i(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.62707 nanometers in meters?\nAnswer: 0.00000009162707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2044770201644 + -0.2\nAnswer: 2044770201643.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(242) + -1)*1 + sqrt(242) + (sqrt(12)\/sqrt(2))\/sqrt(3)*-4).\nAnswer: -54*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -6. Suppose -d = g - 2. What is the greatest common divisor of d and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**2 - 2*a**2 - 5*a**2 + (0*a + 0*a + 2*a)*(8 - 6 - 5*a - 2*a).\nAnswer: -19*a**2 + 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -44*g - 3*w + 202, -138 + 104 = -g - 5*w for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from hhhhhhmshhmhhh?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (8\/2*1)\/(590\/3540)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 10*s**5 - 15*s**4 + 80*s**3 - 70*s**2 - 5. Let z(d) = 3*d**5 - 2*d**4 - d**3 + d**2 - 1. Let m(c) = -f(c) + 5*z(c). Solve m(b) = 0 for b.\nAnswer: -5, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 48\/14 + (-2 - 54\/(-21)). Suppose 0 = -o + t*a + 48, -o - 3*o + 192 = -2*a. Is o a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -2*g + 54. Let m = 57 + g. Solve -i = m - 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 2 x, and 1 z when four letters picked without replacement from rzxqteq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -292 + 291. Let v(t) = 18*t**3 + 2*t**2 - 1. What is v(p)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = p + 8 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.35749 rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -260562 divided by 86854?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (15\/(-2))\/3*-2. Suppose w = 5*u - 10. Solve p = -u*p - 16 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 6:32 PM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2952 - 2919. Solve m*a - 67 = -1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 14*c**2 - 15*c - 31. Suppose 66 = -6*n - 5*n. Is r(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -408, -1047, -1946, -3105, -4524?\nAnswer: -6203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -150 - -398. Does 14 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -7*q - 10. Let d be x(6). Let g = 77 + d. Is -1*5\/(g\/(-635)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that h**3\/3 + 4*h**2\/3 + h = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1958*j**2*l + 541*j**2 - j*l + 5*j + 53*l - 160933 wrt j?\nAnswer: 3916*j*l + 1082*j - l + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of o**2\/2 - 6*o + 2. Let i be m(-4). Let b(j) = 2*j + 13. What is b(i)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 4*j - 9. Let i(l) = 5*l - 9. Let o(x) = 6*g(x) - 5*i(x). Let z be o(-14). Solve 3*t + z*b = 16, -4*b = -2*t - 0*t - 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 + 24\/252*-15. Factor 24\/7*x - 4\/7*x**2 - h.\nAnswer: -4*(x - 4)*(x - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21703 - -15186. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7779267 to the nearest integer?\nAnswer: 2789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 12*q**2 + 40*q - 75. Let y be d(11). Solve 30*b = y - 276 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 170*f - 137*f - 858 for f.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7133*p + 7135*p + 10, 3*z = 4*z - 52*p - 261 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5420774 divided by 5?\nAnswer: 5420774\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - 13*d + 18. Let a be 735\/25 - (-3)\/5. Let k = a - 18. What are the prime factors of h(k)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -36951 or 1\/26?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3320 divided by 166\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 (base 3) in base 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2196787?\nAnswer: 89, 24683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(2) + 3)*4 - (sqrt(72) + -2)**2) + -2.\nAnswer: -71 + 28*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 4*l**2 + 3*l + 1. Let h be t(-2). Suppose 0 = -12*j + 110 + 130. What is the least common multiple of j and (-9)\/(2*h\/(-8))?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4+0.04387225794\nAnswer: -3.95612774206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n**2 + 5*n**2 + 2*n**2.\nAnswer: 11*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h - 1 + h + h. Let f(q) = -6*q + 5. Let m(l) = 29*l - 6. Let y be m(6). Let z be 4\/22 - y\/(-44). Calculate z*s(a) + f(a).\nAnswer: -2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1072914\/22 - (-5)\/(275\/10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 10*n**2 + 25*n - 2. Let f be z(12). Solve -4*h - 2 = f for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12 - -130?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 39500591 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10130 to the power of 1\/2, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 27 times -0.4\nAnswer: -10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 25914044268 less than 4?\nAnswer: -25914044264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**2 - 19*h + 47. Let u be j(5). Let i(y) be the first derivative of 0*y + 23 + 0*y**u - 2\/3*y**3. Let x(b) = -13*b. What is x(i(r))?\nAnswer: 26*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -502649115 + 502649113.910000246. Let h = -1.09 - r. What is h rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30 - 29.5. Suppose -i + 4*i = -15. Which is the closest to 1? (a) i (b) k (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -5*v - 93 - 37, -v = 2. Let u = -39 - d. Suppose -o + a = -u, -4*o - 2*a = -0*a - 72. Calculate the remainder when o is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -58*q + 52*q. Solve -q*v = -9*v - 12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (144\/60)\/((-6)\/(-10)*7\/14)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173 is divided by 59.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 301.537 weeks?\nAnswer: 182369577600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**3\/21 + 640802*z**2\/21 = 0.\nAnswer: 0, 320401","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -2978 <= -2\/33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 + 15 - 27 + 74*d)*((-3 + 0 + 2)*(-2*d - 2*d + 5*d) + 0*d + 0*d + 3*d).\nAnswer: 148*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*g**3*v**2 - g**3*v + 19*g*v - 186*v**2 wrt g.\nAnswer: 6*g**2*v**2 - 3*g**2*v + 19*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*c + 0 + 0)*(2 + 4 + 22)*(0 + 0 + c) in the form y*c + n + s*c**2 and give s.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = 3*p + 10, -7 = -8*p + 12*p + f for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 14*l**2 - 21*l - 1. Calculate w(9).\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + t + 0)*(-3*t**4 + 2*t**4 - t**4).\nAnswer: -2*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 7) to base 6.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 50357 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.99 + 2. Let a = 124693 - 124692.9899946. Let f = l - a. Round f to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -31 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 11*t**2 + t + 8. Give m(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {q: 11, r: 3, h: 4}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 40862813 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 0*c = -2*g + 17, -4*g - 3*c = -35. Let n(a) = -a**3 + 7*a**2 + 9*a - 3. Let r be n(g). What is the units digit of (r + -2)*(-10)\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - 2*h + 3*h)*(7 + 7 - 3) - 2*h + 2*h + 3*h.\nAnswer: 25*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -226\/665 + -8\/133. What is the nearest to -0.1 in -81, 4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 4*f - 44400 = 0, 10*v = 14*v + 3*f + 44400. Round v to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of 0*p + p**3 + 3\/4*p**4 + 0*p**2 + 1. Find a, given that f(a) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s**3 + 3327*s**2 + 2762235*s - 8316675 = 0. Calculate s.\nAnswer: -1665, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 8 = 3*h, -1 = f - 6. Find the common denominator of (-5)\/9 - h*2 and -23\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 u when two letters picked without replacement from puykyyqyq?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.09, -5\/9 in increasing order.\nAnswer: -5\/9, 0, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + 6*k**4 + (2*k**2 - 2*k + 2*k)*(2*k**2 + 2*k**2 - 6*k**2) + 2*k**4 + k**4 - k**4 + (0*k**2 + k**2 + 0*k**2)*(k**2 - 2*k**2 + 0*k**2).\nAnswer: 3*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -414324?\nAnswer: -414323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -52603079*k**3 - 3*k**2 + 123*k - 47047 wrt k?\nAnswer: -315618474*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 54 = 2*c, -28*c + 25*c + 45 = 3*i. What is the least common multiple of i and 507?\nAnswer: 2028","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7, 27, 63, 121, 207, 327, 487, 693?\n\"Answer: n**3 + 2*n**2 + 7*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139 = -10*k - 59 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1000 + -10998\/11. Let j = -275 - -274.6. What is the closest to 4 in 4, l, j, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 4, -2.8, -0.4 in descending order.\nAnswer: 4, -0.4, -2.8, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/1 - (-4 - 8). Suppose -2*q + 6 = v - 29, v - l = -q. Calculate the remainder when q is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 343963895.\nAnswer: 5, 11, 6253889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 15 - 11. Let x be q\/4 + 60\/16. Solve b = -b - x for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*t**3 + 405*t**2 + t**3 + 10 + 8*t**3 - 9 to f*t**2 + l*t + y + n*t**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -33*b + 33. Let i(v) = -v - 1. Determine 33*i(f) + y(f).\nAnswer: -66*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.5 - -3. Let f = -2.6 - -3. Let d = f - n. What is d rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + a?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8\/23 + -26\/207. Let g = -3 - -2. Let w = -31.9 - -31.6. Which is the closest to z? (a) -4 (b) g (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1043 - 23242*y**3 + 1043.\nAnswer: -23242*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((-2*sqrt(125) + -4 + sqrt(125) - sqrt(125))*5 - ((3 + sqrt(125)*2 - sqrt(125)) + sqrt(125) + sqrt(125) + (sqrt(125)*1 - sqrt(125)) + 4)))**2.\nAnswer: 31590*sqrt(5) + 196686","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + 16*b. Let x be u(-16). Suppose -4*i - 75 = 3*g + 59, x = -5*g - 3*i - 227. Which is bigger: -47 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8158165051.15 + -184.\nAnswer: -8158165235.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -384*u - 508*u - 36990 = 478*u for u.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 14 (b) -0.042 (c) 2 (d) -4 (e) 0.3 (f) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from {z: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of u**7\/14 + 437*u**5\/20 + 17*u**3\/3 + 3*u**2 - 285*u. Find the second derivative of a(g) wrt g.\nAnswer: 60*g**3 + 2622*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - 3*t + 1. Let q be s(-4). Let x = 52 + q. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38\/571 - -1256\/1713. What is the closest to m in 4\/5, -1, -24, -3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24581670.5*-0.06\nAnswer: 1474900.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16713688 and 1.\nAnswer: -16713688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - 674*t + 19331. Calculate j(30).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by -6025\nAnswer: 2\/1205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o**(4\/5)\/o)\/o)\/o)\/(o**(2\/21)\/o))**18 assuming o is positive.\nAnswer: o**(-816\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005892 to 6 decimal places.\nAnswer: 0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -12898.89807 to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 5. Suppose -y*x + 22 = -x. Suppose x = -l + 3*l. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3*d**2 + 108*d - 28. Let j = 32 + 2. Is z(j) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2*sqrt(320) + -1)**2.\nAnswer: 160*sqrt(5) + 1305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-12) - -2*(-9)\/(-12). List the prime factors of ((-21328)\/310)\/(1\/(u + -6)).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2319343 and 2.7.\nAnswer: -6262226.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -1 - 3. Suppose 2*j = -b*j + 20. Calculate the smallest common multiple of 20 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 1 - 86*l**2 + 57*l**2.\nAnswer: -29*l**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 11*q - 13 - 17 + 16*q - 17. What are the prime factors of y(9)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 7 = t + 2*v, -3*t = -2*v + 11 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/(-6))\/(4\/(-12)). Let t(r) = 2*r + 2. Let h be t(-3). Let o be ((-6)\/h + -2)*-6. Put x, 0, o in ascending order.\nAnswer: x, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8400 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fkiiffiffkfkfkkkkk. Give prob of sequence kk.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-154)\/1936)\/(-7)*(-12)\/2)\/((-5310)\/(-944))?\nAnswer: -2\/165","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-1)*f)**28*(f**(-1))**(37\/3) assuming f is positive.\nAnswer: f**(47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.34 - -3.09. Let p = w - -4.25. Let s = -2 + 3. Which is the third smallest value? (a) p (b) -0.11 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 15, 4, 1\/5, -0.08, 1\/6, 14, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -44486, -44646, -44808, -44972, -45138?\n\"Answer: -u**2 - 157*u - 44328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x + 4. Let s(z) = -34*z + 44. Let y(m) = -22*o(m) + 2*s(m). Let q(l) = 56*l. Determine q(y(j)).\nAnswer: -112*j","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 16*h - 11. Let r be g(7). Suppose -2*o - 7*d + 2*d + 93 = 0, -r = -2*o + 3*d. Is o a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 388 - 388. Solve -40 = 5*n + 5*g, x = 3*n + g + 3*g + 27 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64209*p - 128579*p - 917 = -64239*p for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 32 = -18. Let d be 6\/k*-7*12\/(-2). What is the units digit of (-6)\/(-8) + 2133\/d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 154866+-0.19\nAnswer: 154865.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -332 - -334. Solve -5*d + z - 17 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 6*w**3 + 28*w**2 + 93*w - 565. Calculate j(4).\nAnswer: 639","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13586.33289 rounded to the nearest 10?\nAnswer: 13590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 814\/1449 + 2\/207. Let k = -803 - -7229\/9. Sort k, m, -5\/2 in decreasing order.\nAnswer: m, k, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 246 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1193.737877 rounded to the nearest integer?\nAnswer: 1194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of 13*d**6\/120 - d**5\/60 - d**4\/12 - d**3\/6 - 3*d**2. Is x(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28463, -39683, -50903?\nAnswer: -62123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 8:04 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 5*k = 0, 0 - 12 = -4*k for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2*h = 23, -9 - 7 = -3*o - h. Solve o*b - 16 = -2*r, -5*r - 1 = 3*b - 3 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.277332 + 31.2?\nAnswer: 30.922668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 22201120101210 (base 3) in base 10?\nAnswer: 4636731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50478736?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3*159\/265?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -437\/3 - -147. Let t = -21393 - -21393.4. What is the nearest to s in -0.2, t, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*t**2 - 10999 + 10969 - 100*t**2 + 58*t**2.\nAnswer: -112*t**2 - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44 - (266 + -155)) + 0 + 13?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 115 = -4*l + 9*l, 2*m = 4*l - 92. Let v be l - (-1 + (-4 - 0 - -2)). Calculate the highest common factor of v and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123\/5*s**2 + 3\/5*s**4 + 12*s + 66\/5*s**3 + 0 = 0.\nAnswer: -20, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (-16)\/10*(-1)\/((-6)\/(-15))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/25, 102\/11, 1\/5860?\nAnswer: 1\/5860","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sytsgtsytyytxts. Give prob of picking 1 g, 1 y, and 2 t.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*t = 57, 5*t + 94 + 185 = 4*j. Let r be j\/15 - 8\/20. Find the third derivative of -c**4 + 0*c**r + c**4 + 2*c**2 - 9*c**5 wrt c.\nAnswer: -540*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5254 - 6822*n + 5254 as i*n + x and give i.\nAnswer: -6822","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -12*y**2 - 97*y - 6. Let z be m(-8). Which is the closest to -2\/9? (a) 1\/2 (b) -1\/6 (c) z (d) 0.007\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-202)\/(-606))\/((-59)\/(-9735))\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 402?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 20\/(-1 + 6) + -13. Let a be (-11 - q) + (-16)\/(-7). Let r = -27 + 26. What is the closest to a in 0.2, r, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96 and 8779488?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = c - 17. Is c a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (436\/8066 + 378\/(-148))\/(2\/(-20))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2646?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 0 + 0)*(-3 + 1 + 0) + (0 + 2 - 1)*((-2 + 3 - 2)*(1 - 2 + 3) + (3 - 2 - 3)*(-98 + 578 - 13)))*(1 + 3 - 5)*(0*b**2 + 5*b**2 - 3*b**2).\nAnswer: 1864*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3419, -3421, -3423, -3425, -3427, -3429?\n\"Answer: -2*j - 3417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -846*g + 612 = -951*g + 4917 for g.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 424558.62118 minus 96?\nAnswer: 424462.62118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/54*-3)\/(138\/92).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 5*q + 96 - 134 = -64, 2*r - 19*q = 33 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 AM and 2:05 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**3\/k)\/(k\/(k*k\/k**(13\/3))*k*k*k))**(2\/13) assuming k is positive.\nAnswer: k**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y + 15 - 23 + 9)*(-2*y**3 + 2*y**3 + 3*y**4).\nAnswer: -12*y**5 + 3*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 549761 and 1501.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j - 5. Let x be s(4). Let u = -4 + x. Let y = -329 + 330. Is u at least as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/29 (b) -0.1 (c) -0.016 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*i**3 + 8*i**3 - 12*i**3.\nAnswer: 14*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/1967 and -44\/1967.\nAnswer: 1967","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 230 + -350. Let x = 329 + d. Is x a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.03 + 0.92. Let x = u - -1.05. Let i(o) = -o + 19. Let k be i(15). Which is the biggest value? (a) -3 (b) -16 (c) x (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + 241*d - 1467. Let t be k(6). Let x(g) = 5*g + 2. Let w(h) = 36*h + 15. Give t*x(p) - 2*w(p).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.63*700.\nAnswer: -441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/59065 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 2*x**2 + 4*x - 4. Let a be w(-4). Let s = 294 - a. Is 14 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23368, 23296, 23250, 23230?\nAnswer: 23236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 9*p - 24. Let y be x(-4). Let b = y - -72. Suppose 15 + 25 = 2*j. What is the smallest common multiple of j and b?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158 is divided by 44.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1868?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7325 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o + 5 + 3*o - 2*o. Let f(v) be the first derivative of -5 + 1\/2*v**2 - 6*v. Determine 5*f(j) + 6*n(j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -532*w = 592*w + 79804 for w.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (53 - 54)*272\/(-2). Suppose -198 = -3*w - 126. What is the greatest common divisor of w and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -129 - -131. Let f(c) be the third derivative of 0 - b*c**2 - 1\/3*c**3 + 1\/12*c**4 + 0*c. What is the first derivative of f(j) wrt j?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 2*p**2 + 5*p + 19. Let b be n(4). Solve b*s - 3*s - 16 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 - (-26 + 24 + 24).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -3. Let z be 0 + (-2 - (-3)\/1). Suppose z - 4 = -r*l. Solve -l = 2*a - 11 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 14635 = -4*x, -744*s + x - 14630 = -747*s. Is s a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 110590112 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 680, 1468, 2280, 3128, 4024, 4980, 6008?\n\"Answer: 2*o**3 + 774*o - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 7*x**2 + 10*x - 1. Let z be l(5). Let a = z + 5. Solve 3*h = -4*c - 3, -2*c = 3*c - a*h - 35 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/38? (a) -2\/13 (b) -7 (c) -0.2 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, g: 2, h: 4, a: 8}. What is prob of picking 1 a, 1 g, and 1 h?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 3*w**2 + 166*w + 220. Let t be p(-54). Solve -48*z + 47*z - 5 = 0, -t*n - 5*z = 33 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 4:28 PM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from wnnnnwnnwwwnwnwnnnww?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9978727\/206 - 48440. Calculate the common denominator of j and -47\/858.\nAnswer: 88374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*u**2 - 6 - 1 + 2 + 3.\nAnswer: 12*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*b = 18223, -948*p - 27339 = -951*p + 3*b. Does 28 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 79*v**2 + 781*v - 9. Calculate o(-11).\nAnswer: 959","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32149 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 11*i**2 - 18*i + 3. Let w be h(-9). What is the closest to 1 in -2\/3, w, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*14 + (-87 - -105). Put 0, 11, n, 41 in descending order.\nAnswer: 41, 11, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*h**4 + 109*h - 109*h + (-2*h**2 - 2*h**3 + 2*h**2)*(-1 + 1 + h))*(-2*h + 21*h - h)*(-1 - 1 - 1).\nAnswer: 756*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(3 + (-182)\/61). Suppose 0 = -j + 5*l + z, -2*j + 46 = -j - 2*l. Is 14 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15229698 and 327.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 92 and 123349.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -0.4 (c) -0.4562 (d) -90 (e) 2 (f) 0.1 (g) 0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2659 - 49*c + 2659)*(-253*c - 89 - 86 + 176).\nAnswer: 12397*c**2 - 49*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*p = 185*p - 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25 and 4278165.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + b**2 - b + 3. Let t be s(0). Let d(j) = -3*j + 0 + 0 + 2. Let c be d(2). Put t, 4\/7, c in decreasing order.\nAnswer: t, 4\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*3\/(-9)*(-36)\/48*2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*t = 2*t - 28 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 - 15.7. Which is the second biggest value? (a) -0.8 (b) -3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 25, 92, 189, 316, 473, 660?\n\"Answer: 15*c**2 + 22*c - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000673 rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6828943 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 10*n**2 - 40*n + 3. Determine h(13).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1010, -1002, -972, -908, -798, -630, -392, -72?\n\"Answer: 2*z**3 - z**2 - 3*z - 1008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 203 - 203 + 32*d**2.\nAnswer: 32*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of -p**4\/18 - 32*p**3\/9 - 31*p**2\/3 - 7*p. Factor g(v).\nAnswer: -2*(v + 1)*(v + 31)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-231)\/(-540) + (-9)\/((-162)\/4) and -49\/36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*w + 217505 = -83551. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/15)*w\/(w**(-1\/2)\/w))**(-2\/3))**44 assuming w is positive.\nAnswer: w**(-3212\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 9.6. Let z = 102 + -93. Let h = -9 + z. Which is smaller: o or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**2. Let l be (-1314)\/(-21) - 3\/(-7). Let x(b) = -63 + 30*b + l. Give x(d(t)).\nAnswer: -60*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**2)**(-17\/6)\/(o**2)**(-33\/7))**(-4\/5) assuming o is positive.\nAnswer: o**(-316\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(550)*-2 + (sqrt(550) - (sqrt(550)*2*-6 - sqrt(550)) - sqrt(550)))\/(1*sqrt(110)\/sqrt(40)) + -1.\nAnswer: -1 + 150*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 1 = 8, 4*a - 40 = -4*w. Suppose -3*y - 2*y - 2*m + 38 = 0, 30 = 4*y + 2*m. Let z(u) = u**2 + y - 24 - 9*u + 11. What is z(w)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 = 10*s + 25*s. Solve -2*q = -s*x + 1, -2*x + 4 = 4*q - 18 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, 13\/6, 4 in ascending order.\nAnswer: 13\/6, 4, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of 0*o - 5*o**2 - 3 - 4\/3*o**3. What is the second derivative of b(u) wrt u?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04*-48394.\nAnswer: 1935.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 15 - 3888*g - 22.\nAnswer: -3888*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of s**2\/2 + 2*s - 3. Let f be d(0). Solve -3*u - 14 = f*b, 7 = -5*b + 2 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 4*w - 33, 0 = -5*l - w + 13 + 10. Calculate the remainder when 11 is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 349117304 to the nearest integer?\nAnswer: 18685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.5 and 7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-886)\/31896)\/((-10)\/(-3))*3.\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -16*h**2 + 194*h - 23. Calculate n(12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1680526, 1680506, 1680486, 1680466, 1680446?\n\"Answer: -20*i + 1680546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-135541)\/(-1407) - 16\/3) + -2 + -15.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of 5*r**8\/42 + 2*r**4\/3 - 4*r**2. Find the second derivative of j(v) wrt v.\nAnswer: 800*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a01 (base 13) to base 6.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1599627 (base 11) to base 3\nAnswer: -12010020221121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -1\/11, 571\/3, 3\/7, 0.061?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -10*c. Suppose -2*v + 4*k - 30 = 0, -2*v = -3*k + 22 + 5. Let p(t) = -4*t. Let a(h) = v*p(h) + 4*b(h). Let q(j) = -15*j. Determine a(q(y)).\nAnswer: 60*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-6 - (-10 - -6))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 9. Suppose 71 = -o*y + 231. Is y a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/13? (a) 57 (b) -125 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2*u**3\/7 + 60748*u**2\/7 - 182226*u\/7 = 0.\nAnswer: 0, 3, 30371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1941600 and 372?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (435 - 881 - 312*r + 455)*(13*r + r + r).\nAnswer: -4680*r**2 + 135*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27275*n + 48114*n - 20844*n.\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -697, -106, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**5 + 38608*y**4 - 424576*y**3 + 347362*y**2 + 424577*y - 385970 = 0.\nAnswer: -1, 1, 10, 38597","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - v**2 + 20*v + 351. Give k(0).\nAnswer: 351","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 55*j**2 + 1099*j + 61. Calculate the remainder when 971 is divided by o(-20).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391.389961 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -937 - 11*d**3 - 887 - 936 + 2760.\nAnswer: -11*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -4 + -2 + (6 - 6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - u**2 + 1. Suppose -3*o - 18 = 3*i, 0 = -o - o + 3*i + 8. Let d be t(o). Suppose -4*x + d = -7. What is the remainder when x is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21058 + -6560. Let m = -6289 + j. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7300 and 5475.\nAnswer: 21900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6314452 and 248.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/(-6 - 36) - 204052\/(-12) a multiple of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -12 - (6 + (3 - (4 + 5)))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7.6656 + -7.6. Let x = -7.94 + 8. Let y = x - u. Round y to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 100 = 28. Suppose -2*k + 35 = -3*t, t = 5*k - 2 - 66. Solve j - 2*d = 2*d - n, -3*j = -d + k for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o - 194 = -206 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 51 - 65. What is the closest to 0.3 in m, -5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28660 - 1348. What is the greatest common divisor of 16 and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2634021?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2909*l + 9707. Calculate m(5).\nAnswer: -4838","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-87)\/145)\/((-4)\/40).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2782746070 a multiple of 5486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1790)\/295 - 1) + 7. Which is smaller: 1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2879\/48 + -1145\/16. Find the common denominator of (1020\/(-66) + 8)\/(-1*4) and a.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 (base 8) in base 7?\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 3*t**2 + 5*t + 6. Let z be y(-4). Let i be 2\/9 - (-32)\/18. Let d = i + z. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 6438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) - (sqrt(891)*1 + -1 - sqrt(891)))**2 - (-1 + sqrt(891) + 1 + sqrt(891))**2.\nAnswer: -2672 + 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -1764, 7, -613, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s + 20, 4*f + 6*s - 11*s = -5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 204*a**3*i**2 + 640*a**3*i + 2*a*i**2 wrt i?\nAnswer: 408*a**3 + 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 56 - 74. Let a(m) = 2*m**2 - 20*m - 5. Is a(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -57.6 - -63. Round y to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) - (sqrt(88) + 5*2*sqrt(88) + sqrt(88))) + (sqrt(88) + ((sqrt(88)*1 + sqrt(88))*3 - sqrt(88)) - sqrt(88)))\/(1*sqrt(72)*-3).\nAnswer: 2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 173\/1376592 and -19\/196656.\nAnswer: 1376592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/38)\/(4172\/(-5662))?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 6*j**2 - 8*j - 4. Let k be z(-7). Suppose 5*i - 2*v = -21, 4 + 14 = -3*i + k*v. Let o = -4 - -3. Sort o, 3, i in decreasing order.\nAnswer: 3, o, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -1297*m - 3407. Determine w(-3).\nAnswer: 484","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**3 - 3*a**3 + a**3)*((3*a**2 + 4*a**2 - 5*a**2)*(0 + 5 - 3) + a**2 + 2 - 2).\nAnswer: -20*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 607 + -603. Let l(a) be the second derivative of a**5\/20 - a**4\/3 - 3*a**2\/2 + a. Give l(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 364301831932 and -38?\nAnswer: 364301831970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00173977 rounded to five decimal places?\nAnswer: 0.00174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and (-104366)\/(-26) - (4\/(-2))\/(-26).\nAnswer: 4014","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 472\/(-36) + 9 - 4\/(-1).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 5:14 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**4 + s**3 + s - 2. Let g(w) = -3*w**4 - w**3 + 2*w**2 + 12*w - 8. Let f(l) = -g(l) + 4*j(l). Find u such that f(u) = 0.\nAnswer: -1, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 253653 to the nearest integer?\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1053) + 1 + sqrt(1053) + (sqrt(13) - 1*sqrt(52)\/sqrt(4)) + 4 - (0 + sqrt(832) + 0)**2*-4.\nAnswer: 18*sqrt(13) + 3333","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -185985, -186021, -186057, -186093?\n\"Answer: -36*m - 185949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -567 - -2193\/4. Find the common denominator of -3\/2 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.14141086 rounded to 3 decimal places?\nAnswer: -39.141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 481 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -1 + (-3 - (3 + 0))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - c**2 + c + 1. Let z(p) = p**3 + 5*p**2 - 5*p - 6. Let b(k) = 6*k + 25. Let u be b(-5). Determine u*w(t) - z(t).\nAnswer: 4*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*p = 66*p - 66 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 4, -4, 3600.\nAnswer: -4, 4, 28, 3600","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - 9*f + 8. Let v be (12 + -15)\/(-1 - 0). Suppose 5*y + 7*k = v*k + 30, -k + 25 = 3*y. What is n(y)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-128)\/48)\/(4\/(-318)). Let p = d - 199. What is the smallest common multiple of p and 21?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 2, 8 + 1 = w - 4*a. Suppose 3*b - w*j - 2 = 0, j = -2*b - 0*b + 10. Let z = 7 - b. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*a**3 - 29 + 6*a**3 + 29.\nAnswer: -16*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 17 = -5*z - 2*m, -5*z - 5*m = 20. Let p be (3 + 12)*1\/z. Find the common denominator of (-49)\/p - 2\/(-5) and -47\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 226557?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 4*a + 40. Give w(-16).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 12*x**4 - 3*x**3 + 11*x**2 + 5*x + 5. Let p(h) = -2*h**4 - h**3 - h**2 - h - 1. Let c(o) = -g(o) - 5*p(o). Suppose c(z) = 0. What is z?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 13944\/2739 + -2*(-2)\/(-44). Which is the closest to 0? (a) -207 (b) z (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ny when two letters picked without replacement from ryyynryyyyyryi?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -3*a**4 + 1. Let p(z) = 13*z**4 - z**3 - 3*z + 0 + 4*z + 6 - 10. Let k(m) = -9*c(m) - 2*p(m). Factor k(y).\nAnswer: (y - 1)*(y + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/68904 and 95\/144.\nAnswer: 137808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-2\/3)\/k*k*k\/k**(2\/5))**(-42)\/((k**(2\/9))**(-12))**27 assuming k is positive.\nAnswer: k**(164\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n + 3. Let w = 3 + -9. Determine h(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48186 at most as big as 41578?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 158.11 - 157.97647. Let q = -137 + 137.133. Let z = q - f. What is z rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1948?\nAnswer: 2, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 q when two letters picked without replacement from {q: 2, l: 9, i: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12686553223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -1 and 0.0558.\nAnswer: -0.9442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 105 (base 11) to base 5.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 68566 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4*u - 38 = 0, 5*p = -6*u + 2*u + 39. Suppose -4*h + 17 = -g, -g + 26 = 5*h + 7. Let l = g + p. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -132790 - -4647031\/35. Let i = -87\/5 - g. Is 0 less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 2 - 5)*(-2*n - n + 5*n) + (4 - 2 + 0)*(-2*n + n - n) to u*n + h and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -1. Put 26, l, 1 in ascending order.\nAnswer: l, 1, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3333441 (base 5) to base 7.\nAnswer: -332623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**2\/19 - 25729208*n\/19 - 82749018038408\/19 = 0. Calculate n.\nAnswer: -6432302","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -133, -132, -131, -130, -129, -128?\n\"Answer: b - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of (-1 - 511\/(-21))\/(16\/4944)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 738 + 1273 = 1447*u + 564 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 84409664 to the power of 1\/5, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -881792 by 440896.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 50*g - 460. Determine f(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 + 11*p + 24. Let i be x(12). Suppose i*k - 208 = 11*k. Calculate the greatest common factor of 16 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -3*g + 16, 2*g + k = 11 - 4. Suppose -v - 2*b + 4 = 0, 0 = -v + 2*b - g. Let d = v + 5. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 842\/5 at least 167?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46580 and 680?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 + -34. Let q = g - -21. Let d be (1*8)\/(1 - 0). Calculate the highest common factor of d and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68, 275, 616, 1085, 1676, 2383, 3200?\nAnswer: 4121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72585334?\nAnswer: 2, 41, 885187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 62 * -0.033.\nAnswer: -2.046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -5*u**2 - 31*u - 174. Let l(c) = -27*c**2 - 155*c - 871. Let w(k) = -11*h(k) + 2*l(k). Let r be w(-24). Solve -r - 16 = -4*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 103 (base 9) to base 12\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-47)\/(-893)*171*1*22\/6\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 919 = -3*a, -4*v - 636 = 2*a - 4*a. Calculate the lowest common multiple of 20 and a.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 195 + 552 = 4*z, -3*z = -4*y - 244. Let m = z + -28. List the prime factors of m.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -77 - 28. Let r = -49 - h. Is 16 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -469333 by 2593.\nAnswer: -181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8426*j - 1430 = -8452*j for j.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 5*b - 16 = 0, -b = -t - 2*t + 16. Put t, 7, 0 in descending order.\nAnswer: 7, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/1 + (-21)\/(-3). Let p(t) be the second derivative of -1\/60*t**4 + 0*t**2 + 0*t**3 + 0 + 1\/100*t**w + 2*t. Let p(b) = 0. Calculate b.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000021939 to six dps.\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18978, 15640, 12302, 8964?\nAnswer: 5626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 192885 and 1065.\nAnswer: 13694835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 11, f: 4, m: 4}. What is prob of picking 1 o and 1 m?\nAnswer: 44\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1222?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-6\/5))\/c*c*c*((c\/(c*c*c\/(((c*c**(1\/14))\/c*c)\/c)))\/c)\/c)\/(((c**21\/c)\/c*c*c)\/c**(-3\/14)) assuming c is positive.\nAnswer: c**(-768\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 4)*(-2*x - x**2 + 2*x) + x**2 + 3*x**2 - 3*x**2 + (-x + 5*x + 0*x)*(98*x - 154*x + 404*x).\nAnswer: 1395*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.554 + 21.486. Let t = 21 - v. Let n = t - 0.067934. What is n rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/3*6\/12. Which is smaller: o or 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*z**2 - 24*z + 24*z + 24*z**2.\nAnswer: 17*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1270*n**2 + 722*n**2 - 807*n**2.\nAnswer: -1355*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -2*h**5\/5 + 587398*h**4\/5 + 587406*h**3\/5 - 352438*h**2 - 2936996*h\/5 - 234960 = 0.\nAnswer: -1, 2, 293700","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from izodrrrioooirorooz. What is prob of picking 3 o and 1 d?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1533, -1535, -1537, -1539?\nAnswer: -1541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 1 + (2 - 4 + 0)*(0 + 0 + 2)*(1 + 3 - 2))*(-2*u + 4*u + 0*u).\nAnswer: -24*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 252 and 1575.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 5*t - g = -18, -3*t = 4*g + 20. What is the least common multiple of 2\/(-7) - (-102)\/14 and 2 - (-4 - (3 + t))?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1851 to the nearest 100.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of -67*s**5\/5 - 30*s**2 + 21. Find the second derivative of t(m) wrt m.\nAnswer: -804*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*b - 3)*(-2*b**4 + 3*b**4 + b**4) + (1239*b**2 - 663*b**2 - 644*b**2)*(-4*b - 2*b**3 + 4*b).\nAnswer: 132*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**3\/5 + 2529*x**2 - 13254849*x\/5 - 147337377\/5 = 0.\nAnswer: -11, 2113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 116950991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 37271*k**2 + 7*k - 8. Let r(m) = 24847*m**2 + 5*m - 5. Let v(o) = -8*r(o) + 5*w(o). Let j be v(-5). Round j to the nearest 10000.\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 0*o**3 - o**3 + 5*o**2 - 11*o**2 + 2*o**2 - 2*o - 6. Let t be a(-4). Solve 0 = -3*q - t - 7 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3168563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9259 + 2*y**2 - 9259 - 2*y**4 + 167*y**3 - 2*y - 115*y**3 to d*y**2 + f + w*y + r*y**4 + v*y**3 and give v.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 420\/1693309?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 465*i**3\/4 + 15805*i**2\/4 - 16825*i\/2 + 90 = 0. Calculate i.\nAnswer: -36, 1\/93, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k. Let d(p) be the first derivative of 3*p - 5\/3*p**3 + 1 - 3\/2*p**2. Let r(c) = -6*c**2 - 4*c + 4. Let j(n) = -4*d(n) + 3*r(n). What is j(t(v))?\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 PM and 6:24 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 117763451?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45370353 to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**4 - 11586*b**3 + 1970550*b**2 - 85060422*b.\nAnswer: 2*b*(b - 5619)*(b - 87)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4376732 is divided by 46?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-374588222)\/(-8) - (0 - -4)\/(-16). Let h = d + -31623528. Round h to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14)\/2 - 51\/(-17). Let d be (-114)\/(-24) - s\/16. Suppose -d*i - 55 = -5*o, 2*o - i = -o + 35. Is o != 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2658?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 24 - -3?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000648783 rounded to 6 decimal places?\nAnswer: 0.000649","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m + 2*m - 2*m**3 + (5*m**2 - m**2 - 2*m**2)*(3*m - m - 3*m) + 3*m**3 - 6*m**3 + m**3 - 15*m**3 - 9*m + 9*m + 10*m**3 - 11*m**3 - 20*m**3.\nAnswer: -42*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + a**2)*(-9 - 973*a + 4 + 4 + 3).\nAnswer: -973*a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s*s*s**(3\/7)*s*s*s*s)))**(-1\/2) assuming s is positive.\nAnswer: s**(-45\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 - -2) + (-171)\/(-19) + -14. What is the second smallest value in 5, t, -0.2, -1435?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/39, -0.1, -5\/18, 0.2?\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2390.\nAnswer: 2, 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1854783 at most as big as 1854782?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - 20*y + 396. Let p be j(-32). Solve 12*q + 12 = -p for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w - 5. Let z be k(-10). Suppose z*a = -23 - 2, v - 3*a = 19. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 2 = -6*p. Let a be ((-5)\/2)\/(p\/4). Suppose -w - 4 = -2. Sort 0, w, a in descending order.\nAnswer: 0, w, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-15))\/(2506\/17900).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -2*y**3\/3 - y**2\/2 + 14*y - 1542. Let j(f) = f**2 + f - 7. Calculate 3*h(z) + 5*j(z).\nAnswer: -z**2 + 2*z + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of a**4\/12 - 13*a**3\/6 - a**2 - a. Let i be 7 + (1 - (6 - (-1 - -14))). Calculate the remainder when h(i) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vzzbverbrbzevzzzvv. Give prob of picking 1 b, 1 z, and 1 e.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 234965227 to the nearest integer?\nAnswer: 617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6307 - -6226. Which is the second smallest value? (a) j (b) 0.1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2025 - -2027. Solve 5*a = -15, 3*z - v*a + 15 = -4*a for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2679880836?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 2*r + 2*r + 200, -j = -5*r - 85. List the prime factors of j.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282551 is divided by 25648?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.667497ns to minutes.\nAnswer: 0.00000000016112495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 5:25 AM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6240 and 83535.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (-13 - -3) - (26\/(-20) - 2).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7, 1\/2, -92.1, -0.4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 347.\nAnswer: 6\/347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = p + 2. Suppose -o - p*h = -10 - 16, h + 77 = 4*o. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 8*k - 7. Let u be g(9). Solve u*l - 2*f - 13 = l, 4*f + 14 = -2*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -10, -2*x - t = -6*t + 23. Suppose x = -h + 3*l, -l + 3*l = -3*h + 8. List the prime factors of (-1)\/h*-2*3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5169, -5143, -5105, -5049, -4969, -4859, -4713?\nAnswer: -4525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/185, -3\/8, -5\/4?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**2\/21 - 194*b\/21 - 188\/7 = 0. What is b?\nAnswer: -94, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -373, -67 in descending order.\nAnswer: -4, -67, -373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y, 0 = i - 4*i - 4*y + 5517. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -45, 3 in decreasing order.\nAnswer: 7, 3, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 3 + 2 - 2*s**2 + s**2 - s. Let a be n(-1). Let b be a - (-3 + (2 - -4)). Let d(p) = 9*p**2. Let r(f) = -f**2. Determine b*d(g) - 24*r(g).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (15 + 21 - 8)*(7*f - 2*f - f)*(3*f - 2*f - 2*f) - 3*f**2 - 4*f**2 + 5*f**2 in the form j + n*f + x*f**2 and give x.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1012355 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -4. Suppose 0 = x + 3*x + x. Solve -l = 5*o, -s*l = -o - x*o - 11 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c**2 - 2*c**2 + c**2)*(0 - 4 + 3) + (5*c**2 - 3*c**2 - 3*c**2)*(1 - 2 + 0) + (-151 - 43*c + 151)*(-5*c - c + 3*c) as l + f*c + j*c**2 and give j.\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 428 + 134 = r. Calculate the smallest common multiple of (-4408)\/(-232) - (1 + 0) and r.\nAnswer: 5058","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -1, 3, 38 in ascending order.\nAnswer: -4, -1, 0, 3, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/2))**(1\/31))**(7\/11) assuming i is positive.\nAnswer: i**(7\/682)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -1\/4, 2\/5, -2, 4 in ascending order.\nAnswer: -2, -1\/4, 2\/5, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11484 divided by -6?\nAnswer: -1914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4*f**2 - 4*f - 4. Let x be l(10). Let m = x + -177. What are the prime factors of m?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -825, -1151, -1561, -2061, -2657?\nAnswer: -3355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -218026*x - 113155492. Give w(-519).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 8*m - 87 + 9 + 111. Let v(a) = -a**2. What is u(v(y))?\nAnswer: -8*y**2 + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-1 + -3) - (-114)\/(-24). Let a(t) = t**2 + t + 1. Let i(p) = p**2 - 5*p - 5. What is k*a(d) - i(d)?\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 2*x - 7*x + d, 4*d - 1 = 5*x. Let h = 687 - 685. Differentiate 182*q**2 + 5 + 8*q**x - 182*q**h with respect to q.\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3\/7 + 27204*x**2\/7 - 3886*x.\nAnswer: -2*x*(x - 13601)*(x - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.329 + 0.061. What is w rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51 divided by -501876\nAnswer: 17\/167292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5574871 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of 0*v - 2*v**2 - v**3 - 11\/8*v**4 - 4\/5*v**5 - 1 - 7\/40*v**6. Let o(b) be the second derivative of f(b). Factor o(m).\nAnswer: -3*(m + 1)**2*(7*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32874109 and 137.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m + 9. Let d(k) = k**2. What is l(d(g))?\nAnswer: g**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3\/2*a - 3\/2*a**3 + 1 - 1\/2*a**2 - 1\/2*a**4 = 0. Calculate a.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(-8)\/f)\/f**(-3))\/((f*f*f*(f*f\/f**(1\/4))\/f)\/(f*f\/f**(-5))))**(-40) assuming f is positive.\nAnswer: f**70","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 + -778)\/(-7)*(-2)\/4 + (-177)\/59?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3809, -0.15, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1572 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 708 = -672 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 0. Let k(c) = -5*c - 5. Let t(u) = -1. Let n(w) = y*t(w) + k(w). Let r(g) = 3*g**2. What is r(n(l))?\nAnswer: 75*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -351 divided by 44?\nAnswer: -351\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/61200 and -1\/16830.\nAnswer: 673200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2466, 2431, 2396?\n\"Answer: -35*c + 2501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28499?\nAnswer: 28499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4*1\/2 + 228. Let s = 335 - o. Calculate the highest common factor of 42 and s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + -16340719469\nAnswer: -16340719468.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2773 - 2739. Calculate the remainder when 474 is divided by l.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4456, 38300, 130162, 309052, 603980, 1043956?\nAnswer: 1657990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 111 = -4*v, -1116*p + 1099*p - 629 = -4*v for p.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 474.\nAnswer: 1896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1033285?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5278 divided by -8\nAnswer: -2639\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1278554 - 638546. Suppose 3*u + 3*j = 2*j + 1919996, -2*j - w = -u. Round u to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 49\/5 of a litre?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**4 - q**4 + 0*q**4 + (-28*q**4 + 23*q**4 - 41*q**4)*(-1 - 2 + 2)*(3 + 0 + 0).\nAnswer: 139*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/3))**(21\/8)\/(p*p**(1\/4))**(-1\/35))\/((p**(-2\/5))**5\/(p**(-2)\/p**3)) assuming p is positive.\nAnswer: p**(-117\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of -x**4\/6 - x**2. Suppose 3*m = -5*v + 49, -2*m - 10*v + 5*v + 41 = 0. Let u(s) = -m*s + s + 5*s + 3*s. Determine a(u(k)).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7015 + 7015. Let j(n) be the second derivative of 1\/70*n**5 + c - 27*n + 0*n**2 - 1\/105*n**6 - 1\/21*n**3 + 1\/42*n**4. Solve j(b) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/3, 0.5, -1\/15, -0.0242, -4, -1\/5, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-11)\/(1\/(-3 - -1)). Suppose 2*k = 4*k - z. Calculate the greatest common factor of k and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -25*a + 181. Let z be n(7). Let l(y) = -y**3 + 8*y**2 - 9*y - 3. Calculate the remainder when 119 is divided by l(z).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3246 - 3158 = 22*k. Solve 28*i + 2*h = 27*i + 5, 3*i + k*h = 9 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*x + 0*x - x)*(5*x - 4*x + x) - 3*x**2 + 0*x**2 + 4*x**2 + 14754*x - 14931*x - x**2 + 28*x**2 in the form v*x + f + d*x**2 and give v.\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -196629 + -1a20?\nAnswer: -198549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + ((-6)\/64*-4)\/((-17)\/(36754\/(-138))).\nAnswer: 39\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*r - 10*r - 1491 = -179. Calculate the remainder when r is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = -155*c + 160*c - 3, -2*c - 6 = -2*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*t - 5*g = 28, -3674*t + 2 = -3673*t + 5*g for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/(-10))\/(6\/(-5)))\/(687841\/1768734)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 710 - 1760 = -105*x for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kvkj when four letters picked without replacement from jkkkkkkkkkkkkkvkkk.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 30539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 120 = -2*o, -3*o + 180 = -0*o + 3*a. Suppose -o - 210 = -10*p. Calculate the greatest common factor of 108 and p.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 31 = 2*w. Let h = w + -27. Solve -3*x + 5*m - 1 = h, 3*x - 2 = -2*m for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vpp when three letters picked without replacement from vppvvvp.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3*g**2 - 6*g + 6. Let r be a(2). Let o be r\/48 - (-1893)\/24. Let w = 87 - o. Is 8 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 10:51 PM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 30, -6\/7, 2\/9 in increasing order.\nAnswer: -2, -6\/7, 2\/9, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 884962 - -10?\nAnswer: 884972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10219443877 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 36328, 1, 4, 7, 0, -1 in descending order.\nAnswer: 36328, 7, 4, 3, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 103, 189, 421, 871, 1611, 2713, 4249, 6291?\n\"Answer: 12*j**3 + j**2 - j + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g + 3. Suppose 5*s - 17 = -h, 0*h + s = -h + 5. Let d(j) = j + 3. Give h*o(t) - 3*d(t).\nAnswer: t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124 = -34*g - 7*g + 1065. Calculate the remainder when 1158 is divided by g.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a litre in millilitres?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1221 + 1636. What is the thousands digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201100122102 + 1?\nAnswer: -201100122101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 11:22 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a centimeter in micrometers?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 2*b - 3*b**3)*(-14965 + 14965 - 210*b + (-6*b + 2*b + 2*b)*(-1 - 2 + 2) + 0*b + 5*b - 4*b + 1 - b - 1 + 3*b - 3*b - b).\nAnswer: 627*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 7 (c) -0.1 (d) 2 (e) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 5*j**2 + 2*j + 4. Let w be (-2)\/(-3) + (-30)\/(-9). Let z be l(w). Let g = z - -6. Solve 3*h = g + 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1297 >= 7969?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 8 = 3*v, -10*s - 4*v - 29 = -5*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-54))\/((25\/(-10))\/5).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of 5\/24*r**4 + 0*r**3 + 0*r + 14*r**2 + 0. Let p(z) = 2*z. Give p(s(d)).\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*a**5 - 3*a**2 - 3*a**2 - 12*a**5 wrt a?\nAnswer: 480*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 385*r - 19. Does 26 divide c(17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = 131*j - 129*j + 1, d - 2*j = -11 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*v = b - 79*v - 5, 3*b - 2*v = 20. Sort -3, -1\/3, b, -2 in descending order.\nAnswer: b, -1\/3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1312 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 17 = -2*d + 3, 4*d = 4*u - 32. Let k = -6 + u. Which is smaller: k or 2\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*r**3 + 11*r**3 + 11*r**3)*(-2*r + 4*r + 0*r) + (6*r**2 - 3*r**2 - 4*r**2)*(-2*r + 2*r - r**2) + 2*r**2 + r**4 - 2*r**2.\nAnswer: 32*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -792827 minus 0.61?\nAnswer: -792827.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 14*t**2 - 24*t + 45. Give q(-14).\nAnswer: 381","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 66\/429 - (1548\/(-39))\/2. Solve 0 = -m + 5*m + r for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11 + 38*k + 564*k**5 - 12*k - 576*k**5 - 5*k**4 wrt k.\nAnswer: -240*k**3 - 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 8 + 345*h + 2 - 67 - 335*h. Determine c(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 9*f - 3. Let k be t(2). What are the prime factors of k\/(-6)*(-4)\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.032167t to nanograms.\nAnswer: 1032167000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 20 = 0, 9*d - 4*d - 158 = -2*q. Calculate the remainder when 749 is divided by d.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -0.105917547.\nAnswer: -3.894082453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 60? (a) -1\/27 (b) 1\/3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 7 = 2*s - 0*s, 0 = 3*s + 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/(-54)*(-96)\/(-392)*147\/63\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuut when four letters picked without replacement from utuhtuytyy.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*i = -3*u + 22471, 3*i - 16834 = -5*u. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*h, -2*x + 0*x - h = -3399999. What is x rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 9\/17, 0.06, 1\/8, 0.5, 2\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -125*n**2 + 1881100*n - 7077074420.\nAnswer: -5*(5*n - 37622)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*x + 5*x - 2*x**3 + (x**2 + 2*x - 2*x)*(16*x - 7*x - 2*x) to the form k*x + q*x**3 + i*x**2 + z and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p - 9*p + 45. Suppose 0 = -p*c + 4*x + 174, -2*c - 4*x + x + 65 = 0. What are the prime factors of c?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -306, -256, -208, -162, -118?\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 6, 4, 0.1 in descending order.\nAnswer: 6, 4, 0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 1*sqrt(1584) + sqrt(1584) + sqrt(1584) + -1 + 5 + -4)**2 + -4)*5.\nAnswer: 1440*sqrt(11) + 71340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1780847 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(1\/358)*(1216 + 23). Is ((-45)\/39 - -1) + c\/182 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 4 (c) -6 (d) -59 (e) 1\/10 (f) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 98 = 8. Let o = -9 - -14. Suppose r - 4*u = -u + h, -o*u = 3*r - 200. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 18*i**2 + i + 22. Let t(a) = -7*a + 66. Let u be t(12). Let r be o(u). Solve r*b - 4 - 16 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7246453\/25 >= -289858?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3255 = 5*a + 328*v, 3*a - 3108*v + 3109*v = -5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 + 17. Let g be u(-4). Let c(y) = -g + 15*y - 28*y + 14*y. Let p(m) = -8*m + 2. Determine -4*c(h) - p(h).\nAnswer: 4*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18\/865 or 427\/44?\nAnswer: 427\/44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 52125754.191582 minus 0.3?\nAnswer: 52125753.891582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 67 = 2*o, -4*a - 5*o + 14 = -37. What is the remainder when (-1)\/((-3)\/(-125))*-3 is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zs when two letters picked without replacement from {m: 4, s: 3, z: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -25*q + 15. Determine p(4).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 449\/90090 + -3\/1430. Is g > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*r - 3350 + 3350)*(0*r**2 + 2*r**2 - r**2 - 3*r)*(3*r - 6*r + 2*r).\nAnswer: 18*r**4 - 54*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-118)\/30)\/(42\/105) - (-43 - 495\/(-15)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x + 4. Let o be m(0). Solve o*v + 82 = 86 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -46*y**2 + 53. Let t(o) = 46*o**2 - 79. Determine 4*t(w) + 6*z(w).\nAnswer: -92*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**5 - 15*a**4 + 5*a**3 + 15*a**2 - 10*a.\nAnswer: 5*a*(a - 2)*(a - 1)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 25 = 5*i - 2*w, -3*w = -15. Let r = -942 - -1877\/2. Is r smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/(-25) - (2 - 297\/5) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4669)\/105 + (-28)\/(-35). Put x, 1\/3, 2 in decreasing order.\nAnswer: 2, 1\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(5*1\/(-60)*10).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-seven halves of a gram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - 22*k + 56. Let p(l) = -l**2 - 24*l + 57. Let c(r) = 5*p(r) - 6*w(r). What is the remainder when 64 is divided by c(-16)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (60*y**2 + 77*y - 77*y)*(-1 - 2*y - 2*y + 10*y) as n*y**2 + g*y**3 + l + q*y and give n.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 5*y + 14 = 0, -6*t + 3*y = -2*t - 28. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u**2 + u**2 + 25*u**2)*(-4*u**2 + 108*u + 6 - 108*u).\nAnswer: -88*u**4 + 132*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v + 6*v - 2*v + 66.\nAnswer: -v + 66","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 108036?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 4315 - 20873 = 0. Let k = 12441 + u. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5984 and 95744.\nAnswer: 95744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is bc359 + -3?\nAnswer: bc356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 8:56 PM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -455*l - 1004*l = -6323 + 45716 for l.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/4 + 11129*u - 222605\/4.\nAnswer: (u - 5)*(u + 44521)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 20110003232 (base 4) to base 6\nAnswer: 114413222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -30*t**3 + 6*t**2 + 10*t - 14. Let y(f) = -6*f**3 + f**2 + 2*f - 3. Determine -14*y(x) + 3*z(x).\nAnswer: -6*x**3 + 4*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2 (b) 4 (c) -4 (d) 24\/95 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 2*t**2 + 7*t - 2. Calculate r(5).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 121*r**2 - 492*r - 1001. Let d be s(125). Let i be 2\/(-3)*(25 - 1). What is the biggest value in d, 0.4, 0, i?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 6762?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 472*g + 163. Give d(-1).\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 3:58 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5414283)\/19098)\/(7\/(-2)).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + g + 2*g**3)*(22 + 24 - 6)*(-6 + 8*g**2 + 6).\nAnswer: 640*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - 10*b**2 - 116*b + 39. Calculate n(-6).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 255163137 to the power of 1\/3, to the nearest integer?\nAnswer: 634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13827 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of 6*s - s**2 - 1\/3*s**3 - 6. Let z be q(-3). Solve -3 = z*i - 2*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, a: 6, i: 4, h: 3, r: 1}. Give prob of picking 1 h and 2 i.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2227 + 43948307228?\nAnswer: 43948305001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*11\/(-1)*(-2)\/(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -791*p + 392*p - 77 + 395*p to g*p + m and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 102240405?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -1.94672?\nAnswer: 3.89344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + -1 + (-5 - -7))\/(110\/132)\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 383130 smaller than 383110?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11160675557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 174159.4 weeks in seconds?\nAnswer: 105331605120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, v: 3}. Give prob of sequence tvt.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 4*f + 6 = 0. Let g(c) = 174 - 8*c**2 - 180 - 3*c**3 + 4*c**f + c. Determine g(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00069934014 rounded to six decimal places?\nAnswer: -0.000699","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 569*n + 1. Let y(t) = 6*t**2. Calculate z(y(w)).\nAnswer: 3414*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3401 + 3402. Sort z, -4, -108, 3.\nAnswer: -108, -4, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-11) + 2385\/17160)*32\/40.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 4*b - 64. List the prime factors of b.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 7*s + 5*j - 14, 0 = -5*s - 5*j + 30. Let m(g) = 10*g**3 - g**2 - g - 1. Calculate the remainder when m(s) is divided by 4\/(-22) - 501\/(-33).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 4*x + 8. Let w be a(2). Let r(i) = 7*i - 36. Let y(j) = -j + 1. Let p(t) = r(t) + 3*y(t). What is the tens digit of p(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644843472.5 - 4?\nAnswer: 644843468.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -4834.\nAnswer: -4834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -4. Suppose 3*t = d*t - 4. Solve r + r - 11 = -3*g, t*g - 3*r - 9 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149236085.\nAnswer: 5, 101, 295517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 3*r = -29 - 1, -17*r + 9*r = -4*b - 10*r - 28 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17896 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8634.285 decades to months.\nAnswer: 1036114.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -j - 9, 6 + 15 = -5*j - 3*u for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2 + 44728840*i - 100033456387280.\nAnswer: -5*(i - 4472884)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.02 + 0.28. Let u = 3.22 + -3.32. Which is the nearest to u? (a) 5 (b) -3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (28\/63)\/((-4)\/2). Let s = -0.2 - 0.2. Which is the third smallest value? (a) -1\/8 (b) r (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 + 0*q**3 - 2*q**3 + 0*q**3)*(2 - 6 + 2) + 15*q - 15*q + 6*q**3.\nAnswer: 10*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o**2 + 3*o**2 + 2*o - 2*o**2 - 23 - 13 as c*o**2 + i + x*o and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -99*c - 1608. Give k(-15).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mffm when four letters picked without replacement from {f: 8, m: 5}?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -240*t**5 + 201*t**2\/2 + 3*t + 193. Find the second derivative of l(p) wrt p.\nAnswer: -14400*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -5*y + 5*w + 12160, 2*w - 4884 = -2*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1009.\nAnswer: 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 7, 20 in descending order.\nAnswer: 20, 7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1*sqrt(72) - sqrt(72))\/sqrt(6))\/(2*sqrt(576)*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25047241 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a gram in milligrams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 1 + 7, -5*u + f + 7 = 0. Suppose u*r - 60 = -0*r. What is the highest common divisor of 24 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-12)*((g\/(g*g**(3\/4)))\/g)\/g assuming g is positive.\nAnswer: g**(-59\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 82, 3, -513589 in descending order.\nAnswer: 82, 3, -513589","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 13824550 to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2940 is divided by 496?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/129864 and 55\/48?\nAnswer: 259728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -4. Let a be (-21 + 32)\/(2\/2). Solve y + i + 4 = -1, 5*y - v*i + a = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(1\/(7\/14))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 193891 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 39*w**3 + 507*w**2 + 363*w - 909. Let f(v) = 3*v**3 + 39*v**2 + 28*v - 70. Let m(r) = -27*f(r) + 2*p(r). Factor m(g).\nAnswer: -3*(g - 1)*(g + 2)*(g + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1392 and 170694?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-6\/13)*x)\/(((x*x\/(x*x*x**(-3\/4)\/x*x))\/x*x)\/x)*(x\/(x*x**(2\/5))*x)**(-1\/4))**(-8\/9))**21 assuming x is positive.\nAnswer: x**(-2324\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (550 - 550 + 54*w)*(3*w - w - 3*w).\nAnswer: -54*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9238.77135 rounded to the nearest integer?\nAnswer: 9239","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-1)*7\/14.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -113.48 + -1.52. Let d = 114.7 + a. What is the second biggest value in d, 9, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 57, 69, 85, 105, 129?\nAnswer: 157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 + 34.984?\nAnswer: 34.584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32486 is divided by 294.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3275, 3076, 2877, 2678, 2479, 2280?\nAnswer: 2081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k + 9. Let i be p(-12). What is the third smallest value in i, 1\/8, 0?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 + 23*q - 74. Suppose -205*j + 130 = -210*j. Let a be x(j). Solve 2*n + 16 = -3*u, 0 = -2*u - 2*n + a*n + 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/(5*(sqrt(11) + sqrt(704))).\nAnswer: sqrt(13)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 15 - (-18 - -4)) + -95\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 10*u**2 + 7*u. Let g(s) = -10*s**2 - 5*s**2 + 5*s**2 - 6*s. Suppose 0 = 5*w + 6*f - 41, -5*w - 745 = -2*f - 778. Give w*g(n) + 6*z(n).\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/19 or 0.04302?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h. Let j(s) = 31*s + 1. Determine p(j(z)).\nAnswer: 31*z + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37099303.\nAnswer: 37099303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -345?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -717.1 and -0.0142.\nAnswer: 10.18282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 5*t + 857 = 0, -17*o - 2*t - 426 = -19*o. Let w = -219 + o. Is w <= -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**4 - 790*d**3 + 65546*d**2 - 1286090*d + 7434648 = 0.\nAnswer: -468, 13, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - 7*k**2 + 25*k - 2. Let z be j(-11). Let b = -203 + z. Solve -5*i - 6 = -4*f, -3 = b*i + 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-5))\/((40\/(-10))\/((-130)\/(-13)))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n - 27. Let s be i(15). Let t be (-5 + -1)*(-4)\/3. Suppose t*a = 6*a. Solve -2*q = -2*y - 3 - 1, -s*q - 6 = a for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 4.464\nAnswer: -0.4464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of u**4\/24 - u**3\/2 - 7*u**2. Let w be q(6). Suppose 0 = -3*l + 60 + w. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 735882 is divided by 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -6757, -1, -4, 0.069, -5 in decreasing order.\nAnswer: 0.069, -1, -4, -5, -6757","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -14841508.3 rounded to the nearest one thousand?\nAnswer: -14842000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f - 1 + 1 - 4*f. Let l(n) = -20*n - 46*n + 87*n. What is h(l(k))?\nAnswer: -42*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q + 9. Let r be d(8). Suppose 3*h = 2*w - 18 + 3, -5*h + r = 0. Solve -5*y + 25 = 0, 0*n + n + 3*y = w for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27106.\nAnswer: 2, 13553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 98253.94cm in nanometers?\nAnswer: 982539400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1182, 60, 12 in decreasing order.\nAnswer: 60, 12, -1182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3122, -3121, -3120, -3119, -3118, -3117?\n\"Answer: k - 3123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -352b75 + 7a?\nAnswer: -352ac8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 10 = o - 11, -5*v - 19 = o for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -48, -54, -50, -30, 12, 82, 186, 330?\n\"Answer: t**3 - t**2 - 10*t - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 21 - (36 + -24) - (1 + 7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -4*x - 5. Let s(w) be the third derivative of w**4\/12 + w**3\/2 + 27*w**2 + 2*w. Let k be (-2)\/6 - (-32)\/6. Give k*s(o) + 3*z(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -0.1, -1.6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*g**3 + 42*g**3 + 31*g**3 - 13*g**3.\nAnswer: 53*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 14*k**2. Let x(b) = b + 4. Let l be x(-5). Let n(i) = -i + 1. Let m(p) = p + 1. Let u(c) = l*n(c) + m(c). What is o(u(w))?\nAnswer: 56*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -273951 - 1\nAnswer: -273952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**2 - 2 + 3*z**2 + 5 + (2*z + 0 + 0)*(0*z + 2*z + 0*z) - 3*z**2 + 0*z**2 + 0*z**2.\nAnswer: 4*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-100)\/18)\/((-6)\/54). Suppose f*q - 34*q = 32. Let y = -2285\/7 - -327. Sort y, -0.3, q.\nAnswer: -0.3, y, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*j + 191*j - 88*j.\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 12:29 PM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 1492.\nAnswer: 5\/1492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 188918585 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cwzymvz. Give prob of picking 1 w and 1 y.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-m - 1 + 1)*(-81*m + 49*m + 53*m)*(-731*m + 3 + 639*m - 5) to a*m**2 + i*m + z*m**3 + c and give z.\nAnswer: 1932","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -21679899 divided by -6?\nAnswer: 7226633\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 53 - 76. Let x = s - -6. Let r = x + 27. Solve 10 = -4*y - r for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of -v**6\/15 - 5*v**4\/12 + 24*v**3 + v**2\/2 - 788*v. Find the second derivative of x(t) wrt t.\nAnswer: -24*t**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-15)\/15)\/(2\/20). Let q = 10 + b. Let y be -4 + 88 + q\/4 + -3. What is the greatest common divisor of 27 and y?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - (2 - 6)) + 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - g + 1. Let o(p) be the first derivative of -2*p**3 + 2*p**2 + 16*p + 22. Let b(w) = -4*a(w) - o(w). Differentiate b(q) with respect to q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -10*p - 8 + 8. List the prime factors of r(-1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ullu when four letters picked without replacement from {u: 2, o: 4, w: 1, l: 8}?\nAnswer: 2\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 182\/(-9) + 6\/27. Let n be (-9)\/15 + (-112)\/j. Solve -5*p + 0 = n for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145 = 4*h - a - 669, 3*h - 5*a - 376 = 0. List the prime factors of h.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 5*s - 15, 0 = 2*s - 7*s + 3*v + 13. Suppose -s*t = 2*i - 98, -4*t + 107 = 3*i - 94. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -228*b**3 - 1216*b + 1216*b + 9*b**2 - 9*b**2 + b**3 - b**3 + 1 - 1 + (b**2 + 3*b**2 - 2*b**2)*(-b + 0*b - b) + b**3 + b**3 + 0*b**3.\nAnswer: -230*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1288291*w**3 - 115*w**2 - 300622*w.\nAnswer: 7729746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {m: 2, e: 2, k: 8}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 53*h**2 + 160*h + 77. Calculate k(56).\nAnswer: -371","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -559 - -1143. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -48 + 239\/5. Let l = 86 + -85.9. Which is the nearest to l? (a) 2 (b) j (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**3 + 183 - 3*d**2 - d + 212 + 4*d**4 - 392 to the form f*d**3 + q + g*d**2 + v*d**4 + l*d and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 153\/(-84) + (-16)\/(-28) + 28\/(-16). Put -7, 3, o, 1, -4 in ascending order.\nAnswer: -7, -4, o, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 6. Let p(c) = 6*c**2 + 5*c + 4 + 6*c**h - 11*c**2. What is p(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + c = -225542, 36*h - 3*c - 375902 = 31*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00252931 rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-3))\/(6\/24*4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 40 - 15. Suppose 0 = f*w + c - 96, -35 = -w - c - 15. What is the greatest common divisor of 152 and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, -15, -75\/401?\nAnswer: -75\/401","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.019 and 3361010.\nAnswer: 3361009.981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21*9\/168*8.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4685 - 4685. Put 39, l, -8\/7 in increasing order.\nAnswer: -8\/7, l, 39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 857\/1445 + 2\/289. What is the nearest to 1 in -3, a, 0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 27 (b) 4 (c) 5 (d) 13\/33 (e) 4\/7 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 19*t + 15. Suppose 32*q - 19 = -307. Let i(h) = -9*h - 7. What is q*i(z) - 4*n(z)?\nAnswer: 5*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by 11?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + -25555.9314778\nAnswer: -25556.0314778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**2)**41\/(q**(-1\/2))**(-1\/51))**30)**29 assuming q is positive.\nAnswer: q**(1819025\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) - (4*(5 + sqrt(1300)))**2) + -5.\nAnswer: -21205 - 1590*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10174932.\nAnswer: 2, 3, 109, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 860214?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5870, -11740, -17608, -23474, -29338, -35200?\nAnswer: -41060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by 12\nAnswer: 13\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 - 2*t + 2*t)*(-15*t + 18*t - 106*t) + (2 + 132 + 47)*(-t**3 + 2*t**3 + t**3).\nAnswer: 259*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b - 7. Let v(k) = k - 5. Determine 5*l(r) - 8*v(r).\nAnswer: 2*r + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/15*-5)\/((-3)\/15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -336, -2503, -8582, -20595, -40564, -70511, -112458, -168427?\n\"Answer: -337*t**3 + 66*t**2 - 6*t - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41503, 166006, 373509, 664012, 1037515, 1494018, 2033521?\nAnswer: 2656024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 136691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10598, -10604, -10612, -10622, -10634, -10648, -10664?\nAnswer: -10682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/226521 and -53\/72.\nAnswer: 1812168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/7)*a*a**(-2\/15)*(a*a*a\/(((a**9*a)\/a)\/a*a))\/a**(-5))**(-1\/12))**(19\/6) assuming a is positive.\nAnswer: a**(-19\/7560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-92)\/27*(-9)\/6. Let o = -40\/9 + x. Factor 0*y**3 + 0*y**2 + 0*y - 2\/3*y**4 + o*y**5 + 0.\nAnswer: 2*y**4*(y - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 2 + 1)*(2*z**4 + 2*z**4 - 6 - 2).\nAnswer: 44*z**4 - 88","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-15) + 14\/105. Let m = -10 + 14. Let u = -0.42 - -0.12. Which is the biggest value? (a) m (b) u (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from xxxexxxxeexxxxxxxxxe.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -226747 or -226749?\nAnswer: -226747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 11:23 PM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5135752?\nAnswer: 2, 641969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -m - 4*m - 2*w, -4*w - 72 - 2 = -9*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/(-10) - (-3)\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-36)*-3*2*3\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dddn when four letters picked without replacement from {n: 2, d: 5}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164529235?\nAnswer: 5, 13, 23, 167, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 209610338.6 + 10.57\nAnswer: 209610349.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*i + 3*i - 4*i + (-1 + 1 - i)*(6 - 2 - 2))*(3 - 6 + 8) to a + w*i and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -751 = -199*p - 37*p + 429. Suppose 8 + 12 = -f + 2*b, 0 = -5*b + 10. Let s = f + 22. Solve s = -p*j - 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-96*c**2 + 1225 - 393 - 400 - 378)*(-5*c + 3*c + 4*c) in the form r*c**3 + v + u*c**2 + h*c and give r.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*(1*sqrt(1300)*6 + sqrt(1300) + sqrt(1300) + sqrt(1300)*2 + -2)*-1)**2.\nAnswer: -1600*sqrt(13) + 520016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19855694 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 602827 is divided by 602416?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -18532, -18539, -18550, -18565, -18584, -18607?\n\"Answer: -2*z**2 - z - 18529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6.866 and -0.5.\nAnswer: 3.433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1348331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14383?\nAnswer: 19, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 47 + -29. Calculate the greatest common divisor of 54 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -0.04 (c) -0.7 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3794993 to three decimal places.\nAnswer: -0.379","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2018359 and 2499?\nAnswer: 833","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 0.3, 0.2, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 3:16 AM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-37 - -21)\/(36\/27)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -1054*v**2 + 187*v. Let o(b) = -59*b**2 + 129*b - 18. Let d(m) = 30*m**2 - 58*m + 8. Let j(t) = -9*d(t) - 4*o(t). Determine 187*j(f) - 6*u(f).\nAnswer: -34*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1719 is divided by 542?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 9. What is the second derivative of 3*t**2 - 3*t - 2*t**2 - 3*t**v - t**2 wrt t?\nAnswer: -60*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22292*l**3*r**2 + 5*l**2*r**2 + 596*r**2 wrt l.\nAnswer: 133752*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -282*d**2 - 39159*d + 25110 = 0?\nAnswer: -279\/2, 30\/47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4332774 divided by 149406.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -23\/101 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from epjejjppjbp?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 3 = -s. Let x be 2\/(-42) + (5\/(-3))\/(-5). Is s not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3003973331 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -200 (base 9) in base 8?\nAnswer: -242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r + 16. Let j be p(9). Let n = 57 - j. Suppose 69 = n*b - 57. What is the remainder when 23 is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -100.9 - 385.1. Let g = n - -486. What is the third biggest value in g, -12, 4, 3\/8?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 - 10402?\nAnswer: -10410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4155.\nAnswer: 3, 5, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-6*-2*sqrt(190)*-1)\/(sqrt(1000)*1 - (sqrt(1210) - -2*sqrt(1210))).\nAnswer: -60*sqrt(19)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -20, -4*q + 7*q + 2*i - 364 = 0. Let c = q - 109. Suppose c = -2*u + 71. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three eighths of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -j**7\/28 - j**6\/10 + 9*j**5\/40 + j**4\/2 - j**3 - 53*j + 5. Let c(h) be the first derivative of d(h). Factor c(v).\nAnswer: -3*v*(v - 1)**2*(v + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of s**4\/4 - 5*s**3\/3 + 5*s**2 + 19*s + 65. Is q(6) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/(-21))\/1 + 3072\/28. Calculate the highest common divisor of 10 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, e: 2, p: 1, h: 6, y: 4, o: 2}. What is prob of sequence uee?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.766 - 0.034. Let t = q - 17.2. Let s = t + 22.992. What is s rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -1\/2 (b) -0.1282 (c) 220\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, -5, 221, 1.4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 10:33 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) 4.4608 (c) 6078\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 at least -210470\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*t + 42*t - 24*t - 44 = -16*d, 5*d - 27 = -12*t for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 11*t + 4*t - 2*t - 5*t. Let m(w) = 2*w**2. Determine m(y(b)).\nAnswer: 128*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -386562, -386775, -387130, -387627, -388266, -389047?\n\"Answer: -71*a**2 - 386491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*f - f**2 - 29*f - 33*f - 133.\nAnswer: -f**2 - 133","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-10))\/((-60)\/(-81 + -3819))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/11*a**5 + 1344\/11*a**2 + 0*a + 0 + 68\/11*a**4 + 640\/11*a**3.\nAnswer: -2*a**2*(a - 42)*(a + 4)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6384 + -6363. Calculate the greatest common factor of 161 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16272 and 243.\nAnswer: 439344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 637408231?\nAnswer: 1117, 570643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 4*f - 9 = x, 7 = f - 3*x for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*u - 2*u - 276 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 11:34 AM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -8. Let w be (-1)\/(((-10)\/(-12))\/5). Let q(k) = k**3 + 6*k**2 + 1. Let x be q(w). Sort -2, g, x in decreasing order.\nAnswer: x, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-2295)*9)\/(15\/75)\nAnswer: 10\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**2 + 102*v - 1008 = 0. What is v?\nAnswer: -42, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 15 = -2*l. Suppose 8080 = b + l*b. Let t = b + -1113. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -0.3 (b) 4\/3 (c) -0.9 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/9, -4, 0.02, -23?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3990, -7977, -11964, -15951?\nAnswer: -19938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.051574 micrograms in tonnes?\nAnswer: 0.000000000004051574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (19 - 32783)*8\/(-32)*2?\nAnswer: 2, 8191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3017*x - 2133*x + 4591*x to the form q + o*x and give o.\nAnswer: 5475","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 8 = 5*m. Let t(w) = -6*w + 10*w + 5*w - 6*w - 2. Suppose 4*k - 3*k = -7. Let h(f) = 2*f - 1. Determine k*h(l) + m*t(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 AM and 9:08 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 51*o + 184*o - 51*o - 84*o + 23.\nAnswer: -2*o + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-5)*(-147 - -442).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**3 - 6 - 2424*y**2 + 2*y + 7 + 2421*y**2 to the form z*y**3 + j + q*y + b*y**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10598, -10628, -10696, -10820, -11018, -11308, -11708?\nAnswer: -12236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -6*a**2. Let r(t) = -68263903*t. Give x(r(q)).\nAnswer: -27959762716760454*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.52 - 0.7. Let s = 0.12 - r. Which is the second smallest value? (a) 3 (b) s (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/6)\/(526\/(-74166))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*w**3\/8 + 187*w**2\/8 + 295*w\/4 = 0. Calculate w.\nAnswer: -59, -10\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + 9*c + 24. What is the tens digit of u(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35 (base 7) to base 14.\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g. Suppose -o - 3 - 3 = 0. Let k(y) = 10916 + 0*y - 21832 + 5*y + 10918. Give o*p(x) - k(x).\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21576, -42458, -62662, -82188, -101036?\nAnswer: -119206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -119044 - 425?\nAnswer: -119469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -149 + 151. Let u(o) = o**3 - 3*o**2 + 3*o - 1. Give u(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 590.0096 litres?\nAnswer: 590009.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 5*r + 3. Let v(a) = 477 - 26*a + 505 - 996. Suppose z + 56 = -3*z. Calculate z*n(t) - 3*v(t).\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 3*t**2 - 2*t - 9. Let q be h(-3). Put q, -13, 3, 5 in decreasing order.\nAnswer: 5, 3, q, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33720, 271467, 916790, 2173479, 4245324, 7336115?\nAnswer: 11649642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -163504 + 4?\nAnswer: -163500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 6:30 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32829)\/(-3530))\/(48\/160).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*k - 23407*k**2 + 4*k + 23406*k**2 + 2443 in the form z + d*k**2 + i*k and give z.\nAnswer: 2443","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 282349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 148 divided by 74\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-100)*36*(30\/3)\/(-2)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 121*v**2 + 6*v - 15. Let c be k(3). Suppose -873 = -f + 4*q, -3*f = -3*q - 1536 - c. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -6*g + 10. Let x be 3 - 1 - g - -3. Find the second derivative of 6*p**3 - 4*p**x - 2*p + 4*p wrt p.\nAnswer: 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(2\/21))\/s)\/(s**(-2\/5)*s))**50\/((s*(s*s**0)\/s*s)**(-30\/7)*(s**(-6)*s)\/s*s*s\/(s**(-4)*s)) assuming s is positive.\nAnswer: s**(-47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 m, and 2 o when four letters picked without replacement from mfwomwooo.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from mmuuuuu.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1536 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -7336.7821 to the nearest ten.\nAnswer: -7340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*o**3 + 21*o**3 + 3 - 160*o - 3*o**2 - 7*o**3 - 33*o**3 to j*o**3 + l*o**2 + m + n*o and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -0*t - 5. Suppose 0 = -5*d + d. What is the nearest to d in t, 0.4, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-3\/4))\/(z*z*z**(-13))*z**(-5\/4)\/(z*z**(-3\/2)) assuming z is positive.\nAnswer: z**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 330*p. Let q(c) = 23*c - 1. Determine l(a) - 4*q(a).\nAnswer: 238*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/7 - 17104*d**2\/7 - 33867752*d\/7 + 11753685600\/7.\nAnswer: -2*(d - 300)*(d + 4426)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/8 - (-30)\/24. Let j = 6 - -5. Let n(r) = 11 - j - r**3. Determine n(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/6 less than 9.71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of -o**7\/2520 + o**6\/180 + o**4\/3 - 4*o**2. Let k(p) be the second derivative of m(p). Calculate k(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 352\/28 - (-3)\/7. Suppose 2*g - 6*g + 52 = 0. Is m greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 1:44 AM?\nAnswer: 10:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10) - sqrt(10)*-1)\/sqrt(2) - sqrt(60)\/sqrt(192))**2.\nAnswer: 245\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*i**2 + i**2 - 2*i**2 - 11*i**2.\nAnswer: -23*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 21.7971 nanoseconds?\nAnswer: 0.0217971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70702 and 138?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*y + 2*y - 5*d, y - 5*d = -5. Suppose 0 = -5*i + y*v + 34 + 1, 0 = i + 4*v + 8. Which is the nearest to 0.1? (a) -0.4 (b) i (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 - -30. Suppose -b*d + 729 = -1053. Does 33 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-7 - (-4 - (0 - -7)))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 g, and 1 p when three letters picked without replacement from gpfataoaaaoo.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 824*u**4 + u**3 - 8*u - 1272 wrt u.\nAnswer: 9888*u**2 + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 320 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 6.431823 weeks?\nAnswer: 64832.77584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + l - 1)*(175364 + 16301 + 12903 - 28235 + 90082) in the form m + a*l and give a.\nAnswer: 266415","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of 2*z**3\/3 - 8*z. Let j be t(2). What is the units digit of (15\/10)\/(4\/j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 + 3*f + (3*f + 3*f - 7*f)*(-4 + 1 + 2) - 24 + 24 - 10*f)*(-1 - 1 + 4).\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10557.\nAnswer: 3, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*b**3 - 24*b**3 + 43*b**3.\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - 2*w - 1. Let n be (4 - 2) + 0 - 3. Let f be 5 + ((-2)\/n - 4). Suppose -f*l = l + 8. Calculate a(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3095, 1.92, 3.\nAnswer: -3095, 1.92, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54\/3708)\/(((-9)\/(-4))\/(-3)).\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -195 + 194.8. Is -74 bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -398, -742, -1020, -1202, -1258, -1158?\n\"Answer: 5*c**3 + 3*c**2 - 388*c - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, -2\/19, -853\/9, 3, -3\/4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-12)*5*9\/300?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 5. Suppose f = -w + 5*w + 12. Suppose 2*p + 12 - 4 = 0. Sort 0, p, w.\nAnswer: p, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 2*y**2 - 15*y - 33. Let q be s(-2). Sort 1, q, -16, -2 in descending order.\nAnswer: 1, -2, q, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22 - 20 - 18*a + 2 - 3 + 20*a to w*a + r and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14784 and 224.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39 + 66. Suppose 2*m - 38 = -4*q, -2*q + 3*m + 9 + 6 = 0. Suppose -4*p = -q*p + 15. Calculate the highest common factor of j and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2880820 by -20.\nAnswer: 144041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 8*c**2 - 7*c - 7. Let r(m) = 8*m**2 - 6*m - 6. Let f be ((-10)\/6 + 4)\/(10\/(-30)). Calculate f*r(u) + 6*s(u).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*9\/(9\/5). Solve -4 = -h + a*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -52181 - -79945. What are the prime factors of m?\nAnswer: 2, 11, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**5*q + 3162*a**4*q + 7*a**3*q - 3*a**2*q - 25*a**2 - 2*a*q - 59*a wrt a?\nAnswer: -60*a**2*q + 75888*a*q + 42*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.109 and -78142.870387.\nAnswer: -78142.979387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1174 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m - 25, -2*z + 5*m = 8*m + 23 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-3))\/(169\/39)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 46280391 to the nearest integer?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -664 - -679. What is the least common multiple of 342 and r?\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3476273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21738 is divided by 507?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -25*p - 12. Let c(g) = -14*g - 6. Let a(l) = 4*b(l) - 7*c(l). Determine a(-14).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*s + 27*s + 11933 = 3*m, -4*m + 2*s = -15924. What are the prime factors of m?\nAnswer: 23, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2448 = 64*g - 42*g + 12*g. Solve 69*k = -4*m + g*k, 0 = 4*m - 5*k - 8 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -49 < -78?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40 - 165) + 369 + -280?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 67346 and 121102?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) -1\/11 (b) -0.04 (c) -2 (d) 5\/4 (e) -1.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 58.81 - 56.4. Let k = -2.91 + a. Let p = 0.7 + -0.6. Sort p, -6, -1\/8, k in descending order.\nAnswer: p, -1\/8, k, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(11\/((-264)\/(-18)))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - -2*(-1)\/(-1)) + 1. Sort -2, -5, c, 3 in decreasing order.\nAnswer: 3, c, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 2, t: 1, g: 1, u: 5}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 155 and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 25400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4)\/(c*c**(-2\/5)*c*c*c))\/((c**(1\/3)\/c*c)\/(c\/(c*c**(-2))))*(c**(1\/7)\/c*c**(-4))\/(c**(-2\/7))**(1\/62) assuming c is positive.\nAnswer: c**(-35108\/3255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 9:20 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 21\/(-77) - (-138)\/22. Is 34 - 30 - -24*p a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a week in minutes?\nAnswer: 52416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (16 - 23) - (-28 + 62).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 2*b**2 + 8*b + 7. What are the prime factors of n(-5)?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -455c4 (base 16) to base 3\nAnswer: -112102201020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-2)*(-14 - -12) - 3. Suppose -2*b + 3*m + 117 = 4*m, x = b - 3*m - 76. What is the remainder when 240 is divided by b?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(189) - sqrt(21)))\/((sqrt(7) + sqrt(252))*-1).\nAnswer: 4*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 446.218416 milliseconds to weeks.\nAnswer: 0.000000737795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2999?\nAnswer: 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 4*h**3 - h. Let s be x(1). Suppose s*a - 22 = a. Is 5 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w**2 + 24*w - 59. Let n be x(9). Suppose -2*z - 5*d + 4 = 3, 5*z + d = -9. Let l be 1\/(-2)*(10 + -4). Put l, z, n, -4 in descending order.\nAnswer: z, l, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -67 + 66.6. Let v(u) = -u**3 - 5*u**2 - u - 4. Let t be v(-5). Let l = 3 - 2.9. Which is the nearest to l? (a) 5 (b) j (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (16\/20)\/((-4)\/(-150)). Let c = p - 25. Let f(u) = u - 11. Let g(d) = -2*d + 17. Determine c*g(r) + 8*f(r).\nAnswer: -2*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -10 + 14 + -12.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffqfqfqn. What is prob of sequence qqf?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1923 is divided by 637?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1 + sqrt(1216) + 3 - (-3 + 0 + sqrt(1216) - sqrt(1216))) - (1 + (sqrt(304) + -1 - sqrt(304)) + (sqrt(931) - (3 + 2*sqrt(931)))))**2.\nAnswer: 3630*sqrt(19) + 58564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 342 divide 4607561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bii when three letters picked without replacement from {b: 3, w: 3, i: 8, l: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42810 - 38625. What is the lowest common multiple of b and 6?\nAnswer: 8370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/115)*s**(-6\/7))**(1\/34))**30 assuming s is positive.\nAnswer: s**(-2112\/2737)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*u + 3*u - 5*u)*(-22*u + 4*u - 8*u)*(-3 - 7 + 3) to m + w*u + r*u**2 and give r.\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 9:46 PM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1474502394?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + 4*l + 13. Let p be h(6). Find the second derivative of 10*r + 0*r**3 - 1 - 2*r**3 + p wrt r.\nAnswer: -12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1274)\/(-980) + (-14)\/(-70). Factor y*l - 3\/8*l**2 - 9\/8.\nAnswer: -3*(l - 3)*(l - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.74342 and 0.3.\nAnswer: -0.223026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 0. Let p(m) = m**3 - 12*m**2 + 11*m + 5. Let s be p(11). Suppose -s*u + h*u = -15. Solve u*n = -0*n - 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/74930 and -49\/7691120.\nAnswer: 453776080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 416233 is divided by 1249.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -271 + 5975\/22. Find the common denominator of w and -83\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1090770345111 + -64?\nAnswer: -1090770345175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -4*c**3 - 2*c**2 + 34*c + 35. Give a(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1120 and 3606680.\nAnswer: 14426720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6589882 is divided by 227237?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 69807872 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 8:53 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of -31*p**6\/30 + 37*p**4\/12 - 38*p. Find the third derivative of w(d) wrt d.\nAnswer: -744*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 56 = 3*h - 6*h, -5*n + 40 = -5*h. Solve -14*o = -n*o - 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -270*b**3 + 3249*b**2?\nAnswer: -1620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -3243?\nAnswer: -3245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 - 20 = -10*k. Suppose k*d = 90 - 12. Let m(u) = u**2 - 11*u - 17. Calculate m(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 6. Let g = 1.864 + -1.75. Let o = 0.114 - g. Which is the nearest to o? (a) -3 (b) 2\/5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - 4*k**2 - 6*k - 17. Let u be i(6). Suppose 18*p - u = -1. Sort 5, p, 11, 2 in decreasing order.\nAnswer: 11, 5, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -5, -5*d = -0*w + 4*w - 965. Let p = 240 - w. Is 8\/51 less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 196, -3, 3, -5, -2, 18, -1 in descending order.\nAnswer: 196, 18, 3, -1, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, 5, -4479, -8 in descending order.\nAnswer: 5, -8, -35, -4479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.007, -0.2, -2\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004258 to 4 decimal places.\nAnswer: -0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v**3 - v**3 + v**4 - 7*v + 0*v**4 + 4*v + 3 in the form n + c*v**3 + l*v**4 + z*v + d*v**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 88 - 60. Suppose -b = -3*g - g. Let h = -13 + 48. What is the greatest common divisor of h and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -13*y + 11. Let o(b) = -13*b + 12. Give 7*d(c) - 6*o(c).\nAnswer: -13*c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 93408, 186819, 280232, 373647, 467064, 560483?\n\"Answer: f**2 + 93408*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-40\/9)*s)\/s)**7\/(s\/(s*s**21))**(-15))**1 assuming s is positive.\nAnswer: s**(-3115\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*h + 4*h + 60. Suppose 2*p + h*l = p + 20, 0 = 5*l - 25. Which is bigger: 2\/149 or p?\nAnswer: 2\/149","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 244 - -463. Let v = -8832 - k. Let d = v + 22539. What is d rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 + -13. Let r(n) = -n + 5. Let g be r(f). Determine j so that -4 + 3*j**g + 18*j + 1 - 10*j**2 - 8*j**2 = 0.\nAnswer: 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.129 (b) 3 (c) 1 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 181\/722640 and 53\/135928584?\nAnswer: 1359285840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2189, -4, -10, 632 in increasing order.\nAnswer: -10, -4, 632, 2189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zoxzvlvxxlvzvx. Give prob of sequence zlx.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 4*s - 5. Let w be c(4). Let z be 10\/w - 12\/(-2). Suppose z*m = m + 21. Does 3 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 10:29 PM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -0*d + 4*d. What is the remainder when (35\/(-14))\/(2\/(-4)) is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence as when two letters picked without replacement from auuwusuuw.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1911 + 5118. Suppose 0*h + l = 9*h. Round h to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sxxssssxxcssxsc. What is prob of sequence ss?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.2 - 1.19926. What is l rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3920 and 526505.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1524 + 4*y**3 - 1535 + 2*y**2 - 2*y**2 as b + u*y**3 + m*y + c*y**2 and give b.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 + -100 + 113 + 15 + -1?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 388764.282.\nAnswer: -388763.282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 5*u - 18, -5*u + 0*u - d = -21. Suppose -u*j - j = -15. Suppose 4*z = -h - 6, -j - 3 = 2*h + 5*z. Solve 8 = -2*n - h*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.28 + -0.32. Let t = 6.2 + w. Which is the smallest value? (a) t (b) -3 (c) -2\/11 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59866 is divided by 413?\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -o**4\/4 + 5*o**3 - 13*o**2\/2 - 1. Let l be s(14). Suppose -l = -2*j + 34. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 306*l + 8739 + 8241 - 6576 = 0 for l.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13 - 9*w**2 + 2 + 34*w**2 - 3 with respect to w.\nAnswer: 50*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-28)*-4)\/(312\/(-546))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41941024 by 10485256.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = 5*f - 31, -4*f - f + 27 = l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {r: 4, o: 7}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 315 - 313. Which is the fourth biggest value? (a) 4 (b) f (c) -7 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05891669 + -5.\nAnswer: -5.05891669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 19738.4285 rounded to the nearest integer?\nAnswer: 19738","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 + 4*n + 3. Let i be q(5). Suppose 26*a - 14*a - 25416 = 0. Is -3 + a\/(1 - i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -586 - -1032. Let g = v - 826. Let n = 379.843 + g. Round n to 2 decimal places.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*q + 44984 = 51*q + 15338. Solve -1107*v - 9 = -q*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0124003937 to four dps.\nAnswer: 0.0124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10143 + -5703. Suppose l = -53*c + 63*c. Does 74 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 + 30. Calculate the highest common factor of c and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 94 + -69. Let l = k - 25.5. Put -5, l, 5, -3 in ascending order.\nAnswer: -5, -3, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42548 and 88.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 2.9. Suppose 31*v + 7 = 30*v + x, -v = 4*x - 38. What is the nearest to i in -0.2, v, -1\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 + 86753*k - 43310*k - 43363*k to the form i*k + z and give z.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9798399 is divided by 1249.\nAnswer: 1243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c - 5. Let i(u) = -u + 2. Let v(p) = -5*i(p) - 2*w(p). Let t(s) = -5*s + 6. Let m(q) = 4*q - 5. Let a(b) = 6*m(b) + 5*t(b). Give v(a(n)).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9397628 divided by 247306.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1255682, 5022732, 11301148, 20090930, 31392078, 45204592?\n\"Answer: 1255683*i**2 + i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.6653 minus 31350.153?\nAnswer: -31363.8183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 2*r**2 - 3*r + 10. Let g be d(4). Let w = g - 24. Suppose -3*f = -5*f + 38. Calculate the remainder when w is divided by f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 1. Let s = r - -0.9. Let j = -30.6 + 30.4. Which is the closest to s? (a) 2 (b) j (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 23 and 5.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1464220 (base 7) to base 4\nAnswer: -301000333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7150 or 114419\/16?\nAnswer: 7150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -36 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(((-14)\/40)\/7). Suppose -4*j + 0*f - 3*f + l = 0, 4*f = 3*j - 40. Let w = j - 4. Solve -4*q + w*h - 4 = -0*q, -2*q + 1 = -3*h for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*b - 103*b - 12*b - 7*b - 103*b.\nAnswer: -244*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t\/(t**(1\/15)*t)*t)\/t*t**29 assuming t is positive.\nAnswer: t**(464\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/11 (b) -1.5 (c) -1\/2 (d) 12 (e) 0.1 (f) 17 (g) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.17235 times 45?\nAnswer: -7.75575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 133, 143, 153?\n\"Answer: 10*n + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 8 - 5)*(0 + 0 + h)*(-4 - 1 + 2).\nAnswer: -18*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1531*p**3 + 2351*p**3 - 4755*p**3.\nAnswer: -873*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence di when two letters picked without replacement from {d: 3, i: 1, f: 6, m: 3}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**20\/i)\/i**(2\/7)*i**(-7)\/(i**(-16)*i) assuming i is positive.\nAnswer: i**(194\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 6, 3, -58, -2 in descending order.\nAnswer: 6, 3, -2, -13, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1717 - 1a240?\nAnswer: -18826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 807, 2281, 4183, 6507, 9247, 12397, 15951, 19903?\nAnswer: 24247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 20 = -4*v, 0 = 4*v - 5*z - 9 - 39. What is the remainder when v is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3 + (-3*(-3 + -3 + sqrt(800) + (sqrt(800) - 4*(sqrt(800) + -6*sqrt(800) + sqrt(800)))))**2).\nAnswer: -116640*sqrt(2) + 6999363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190 = o + 4*b, -o - 2*b + 620 = 2*o. Suppose -162 = 4*v - o. What is the highest common divisor of v and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -0.2, 12028, -0.3 in decreasing order.\nAnswer: 12028, -0.2, -0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 divided by -7304.\nAnswer: -13\/3652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 21*n**3 - n**2 + 2*n - 1. Let x be d(1). Let i = -16 + x. What is the second derivative of 6*q**5 + 9*q + 7*q**i - 7*q**5 wrt q?\nAnswer: 120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -524*g**3*t + 11*g**3 - 16*g**2*t + 18*g**2 - 55933407*g*t wrt g.\nAnswer: -3144*g*t + 66*g - 32*t + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28.5037 + 0.5273. What is u rounded to one decimal place?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*j + 3*j - 2*j)*(1 - 2 + 3 + 3 - 2 - 2 + (-4 + 0 + 2)*(1 - 3 + 3) - 3 - 8 + 1)*(1 - 2 - 1)*(0*j + 0*j - j) to the form d + r*j + y*j**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 + 1751*v - 713521. Give z(645).\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -3*a + 2. What is the remainder when 64 is divided by a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104717738 to the power of 1\/2, to the nearest integer?\nAnswer: 10233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*r**2 - 11*r**2 + 7*r**2)*(1 + 6 - 2)*(-5 + 4 + 0)*(2 + 2 - 2).\nAnswer: -30*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*m, -2*m + 8 = 4*k - 3*m. Suppose -k*l + 2 = -2*l. Let b(f) = 201*f + 7. Is b(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 198328*u**2 - u + 3. Let f be s(-3). Let b = f + 1535042. Round b to the nearest 100000.\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 14 - 4. Suppose 0 = 2*u - 29 + 11. Let j = k + u. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - 1f7e16c?\nAnswer: -1f7e170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 227720 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 + 2)*(0 + 4*t + 0)*(-8*t**2 + 5*t**2 + 6*t**2) as g + p*t**2 + x*t**3 + i*t and give x.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 68 + -107. Let r = v - -77. Let m(n) = -n**3 + 6*n**2 + 13. Calculate the remainder when r is divided by m(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-45)\/(68\/8 - 10). Calculate the highest common divisor of 410 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/781, 2\/7, 2 in increasing order.\nAnswer: 1\/781, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(-1)*(-1)\/(-2). Suppose -11 + o = r. Let h = 24 - r. What is the remainder when h is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110011001111110001 (base 2) to base 8.\nAnswer: -631761","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**4 + v**4 + 0*v**4)*(525 - 153*v - 525).\nAnswer: 306*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u + 7. Let l be t(-3). Suppose m = 4*n + 4, -l*m + 5*n = m - 50. Calculate the remainder when 23 is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13081133 to the power of 1\/2, to the nearest integer?\nAnswer: 3617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174216.\nAnswer: 2, 3, 7, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -393*-0.3\nAnswer: 117.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 156 and 7800?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**2 - 3*c**2 + c**4)*((0 + 1 + 1)*(2*c + 8*c + c) - 19 - 7*c + 19).\nAnswer: 15*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) 0.06 (b) -30248 (c) -2 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 428921 to the nearest integer?\nAnswer: 655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 195 and 1443.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -3*h**3 + 47*h**2 + 16*h + 6. Let x be g(16). Is (3\/x)\/((-3)\/(-194754)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38406, 38375, 38352, 38337, 38330?\nAnswer: 38331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 8145*x + 16289. Calculate g(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33164623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i**3 - 4*i**3 + 0*i**2 - 2*i**2 in the form q + h*i**2 + a*i + y*i**3 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 17 = -9. Suppose 6*o - y*o - 74 = 0. Let w = -35 + o. Solve 0*n = 2*n + 4*s - 4, -5*s = w*n - 5 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 j, and 1 x when three letters picked without replacement from {n: 2, j: 1, w: 7, x: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -25572076+0\nAnswer: -25572076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 less than -1095?\nAnswer: -1084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -160532814 divided by -6\nAnswer: 26755469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43236?\nAnswer: 2, 3, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ym when two letters picked without replacement from tmmtybmtptm?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1406?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 4:16 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -31437 + -4?\nAnswer: -31443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 110001100010110001001 (base 2) in base 11?\nAnswer: a09789","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3327, -3331, -3335, -3339, -3343, -3347?\n\"Answer: -4*c - 3323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7088 divided by 886.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -5. Let d = 5 - 4.91. Which is the nearest to g? (a) d (b) -5 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 26216 + 2?\nAnswer: 26221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -6*p**3 - 12*p**2 - 3*p + 33. Suppose -2*x = 5*s - 3*x + 73, 0 = 3*s - x + 45. Is r(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -15*j**2 + 8*j - 10. Let w(a) = 18*a**2 - 7*a + 11. Determine 7*p(f) + 6*w(f).\nAnswer: 3*f**2 + 14*f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5, 2, 3\/5, -0.071, -69\/2?\nAnswer: -0.071","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*g**4 - 7400*g**3 + 411332*g**2 - 116920*g = 0 for g.\nAnswer: 0, 2\/7, 79, 185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of 16*v**3\/3 + 8*v**2 + 107*v - 43. Is f(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143527 is divided by 1049.\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 85 + -144 + 113.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + t - t)*(-15*t**2 + 10*t**2 + 11*t**2) + t**3 - 6*t**3 + 0*t**3.\nAnswer: 7*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21 - 240\/(-12)) + (0 - (-1 + 21)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - 13*p**2 + 3*p**2 - 7*p**2. Let r(d) = -d**2. Determine r(s(b)).\nAnswer: -324*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 2280, 5 in decreasing order.\nAnswer: 2280, 5, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8 - (5 - (-4)\/(-2)). Let l(s) be the third derivative of s**6\/120 - s**4\/6 + 3*s**3\/2 + 31*s**2. List the prime factors of l(b).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1067919904 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -228, -363, -498, -633, -768?\n\"Answer: -135*r - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 14*q**2 + 266*q - 480. Let y(p) = p**2 + 4*p - 3. Let h(v) = -a(v) + 12*y(v). Find c, given that h(c) = 0.\nAnswer: -111, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22\/5, -37\/2, 1 in increasing order.\nAnswer: -37\/2, -22\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1*8)\/((-1)\/(-1)). Let l be (h\/(-10))\/((-6)\/(-15)). Suppose 0*g - 14 = -l*g. What is the remainder when g is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -3*r - 34. Let l = -12 + r. Suppose -2*g - 12 = -l*g. What is the lowest common multiple of g and 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2525019 is divided by 630861.\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-2))**(6\/11)\/((a\/((a*a**11*a*a*a)\/a))\/(a*a**(-3)\/a)))**(18\/7))**22 assuming a is positive.\nAnswer: a**504","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 8 + 6 - h to the form k*h + o and give o.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-12)\/(-1152)*-6)\/((-5)\/20))\/((-18)\/2664)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.16 - 0.04. Let n = 1.42 - k. Let q = -1.5 + n. Which is the closest to 0.2? (a) q (b) 0.3 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**2\/5 + 468*i\/5 - 118422\/5 = 0. What is i?\nAnswer: -387, 153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 303765000 a multiple of 420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 3*z**2 - z + 5. Suppose 15*w - 18 = 9*w. Let f(k) = 3*k**3 - 7*k**2 - 3*k + 11. Give w*f(n) - 7*g(n).\nAnswer: 2*n**3 - 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2. Let t(c) = c**2 - 4*c + 4. Let v(j) = -2*m(j) - t(j). Calculate v(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = v + 10. Suppose -v + 9 = z. Let s = 23 + -16. What is the lowest common multiple of s and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)*-1*-4 - 2*sqrt(102)*-1)\/(sqrt(54)\/(sqrt(27)\/sqrt(3)*-2)).\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1144 - 12.7384.\nAnswer: -1156.7384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -8*s**6\/5 - 6*s**5\/5 + 7*s**4\/4 - s**3\/2 - 7*s - 3. Let d(l) be the first derivative of u(l). Factor d(j).\nAnswer: -3*j*(j + 1)*(4*j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*2\/4 + 3\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.14 (b) 10.5 (c) 12 (d) 5 (e) -4 (f) 4\/3 (g) 4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98)*-1)**2 + 3.\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y + 2*y**2 - 3 + 0 - 39*y**3 - 1 + 14*y**3 + 5 to the form d*y**2 + m*y**3 + k + f*y and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -123*j + 322. Let m(w) = -41*w + 107. Let x(v) = 4*g(v) - 11*m(v). Calculate the smallest common multiple of 17 and x(2).\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -119\/66 - -3\/22. Let g = -4\/3 - p. Determine v, given that g + 1\/3*v**2 - 2\/3*v = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 20178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of j**3\/3 - 27*j**2\/2 + 172*j - 155. Let b be s(17). Solve -5*o + b = -3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -1\/3 (c) -0.1 (d) -0.0888 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -74 + 76 + -13 + (4 - 2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3, -1\/4, 109\/418?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5867 is divided by 1448?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*p - 3*p + 11*p)*(2*p**3 + 4*p**3 + 4*p**3) - 4 + 2 - p**4 - 3 as u*p + z*p**4 + q + h*p**3 + r*p**2 and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + -21. Let i(c) = 13*c - 22. Let h(f) = -4*f + 7. Let w(a) = t*h(a) - 2*i(a). Let s = -8 + 2. Let x(n) = 2*n - 6. Determine s*w(p) + 5*x(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*r - 96 + 44. Suppose 4*a + 5*f - 2155 = r*f, 0 = a - f - 540. Is a a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 2 - 3)*(-3 + 6 - 2) + 4 - 4 - 1 - 11 - 20 + 9)*(35*j**3 - 19*j**3 - 19*j**3 - j**2 + j**2 + 2*j**3 + (5*j**2 - 5*j**2 - 2*j**2)*(3 - j - 3)).\nAnswer: -25*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 7*r - 28. Suppose 5*l = 2*c - 31, -2*l - 17 - 21 = -4*c. Does 13 divide p(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154479 = 5*v - n, -5*v + 150116 + 4375 = n. What is the greatest common divisor of v and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*a**4 + 29 - 40*a**2 + 61*a**2 + a**4 + 50 wrt a?\nAnswer: 12*a**3 + 42*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 419*z + 35125 = 2024 for z.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 3*u - 17 = -u, -4*u = 4*g + 28 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56042, -112055, -168056, -224039, -279998, -335927?\nAnswer: -391820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-4*(-3)\/(-6)). Suppose -2*d + 29 = 3*g, -y*d = 3*d + 10. What is the remainder when 21 is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 s, and 1 n when three letters picked without replacement from {n: 1, m: 3, l: 7, s: 2, i: 1, y: 4}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -8*l - 126. What is m(-18)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-25) + ((-348)\/(-25) - 14). Let v be (-7)\/(-3)*36\/6. Solve -3*n - 2*d + d + v = p, 0 = -2*d - 2 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/580220 and -37.\nAnswer: 580220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37 and 333?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 0*r**2 + 0*r**2 + r**2. Let b(i) = 326*i**2 - 679*i**2 + 340*i**2. Calculate h(b(a)).\nAnswer: 169*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000100010 - -11001110?\nAnswer: -101010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 713 = 164*d + 478 - 1077 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 148 - 3?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 187.\nAnswer: -2\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 22*r**2 + 14*r + 43. Let q be v(-18). Suppose 3*o - 1095 = -3*c, -4*o + o - c + q = 0. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 847*h = 867*h - 1100. Solve v - 12*v - h = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*j**2 - 1185*j - 297.\nAnswer: 3*(j - 99)*(4*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 115*t**2 + 2690*t - 35908. Determine i(-66).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -3. Solve l*y = 4*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-2)*(-39 - -9). Suppose 6 = 2*l, 0*l - y = 3*o - l. Let k(h) = 1 - 64*h**2 - 3*h + 67*h**2 + h**3 - 5. Calculate k(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000087566 rounded to 7 dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4 is divided by (1 - -3)\/(-1) + (-48)\/(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -2.99. Let t = -50.3 - -52.73. Let w = 2.73 - t. What is the biggest value in w, 3, 4, s?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33274, 133112, 299516, 532486, 832022?\nAnswer: 1198124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 75\/11, 6\/13, 0.18, 4 in ascending order.\nAnswer: 0.18, 6\/13, 4, 75\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2 = 6. Suppose 9 = c + k*c. Differentiate -c*o**4 - 2 + o**4 + 0 wrt o.\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -1302*y - 59879. Let t(j) = 41*j + 4. What is the remainder when t(4) is divided by k(-46)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (8 - (0 - -4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 + (-81 - (-45 - 90))?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of 5*w**2 + 1\/24*w**4 + 0*w**3 + 7 + 0*w. Let c(q) be the second derivative of z(q). Let h(g) = -33*g. Give h(c(k)).\nAnswer: -33*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/7*(-24066)\/191?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {w: 3, h: 4, a: 1, c: 2, d: 8, y: 2}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 58 - 55. Let p be 3*(-2 - 28\/(-6)). Suppose 0 = 5*m - 38 + p. What is the remainder when m is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -245.43 and 269.\nAnswer: -66020.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**1\/(j**(-2\/15)\/j))\/(j**(-2\/9)\/(j*j\/(j*j**(-1)))))\/(j**(-3)*j*j**(2\/13))**(-35) assuming j is positive.\nAnswer: j**(-35252\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46329678 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-5)*(-70)\/(-126).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -4*r**3 + r + 32. Let p(y) = -y**3. Let x(m) = 5*p(m) - w(m). Give x(0).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1011110 (base 5) to base 13\nAnswer: 760c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14637?\nAnswer: 3, 7, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 2. What is the third derivative of 0*u**5 - 9*u**2 - 7*u**5 + 5*u**y - 7*u**5 wrt u?\nAnswer: -540*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 9*q**3 - 21*q**2 + 14*q - 23. Let w(r) = -11*r**3 + 21*r**2 - 13*r + 20. Let j(v) = 5*w(v) + 6*y(v). What is j(-22)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of q**5\/20 + q**4\/6 + q**3\/3 - q**2. Suppose -3*w + 8*w - 45 = 0. Let t = -11 + w. Give z(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42 + -83. Let l = -88 - m. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c8 (base 15) in base 13?\nAnswer: -3a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 + 2)*(3*d**4 - 2*d**3 + 2*d**3) - 2*d**4 + 5*d**4 - 2*d**4 - d**4 - 5*d**4 + 4*d**4 + (-2*d**4 - d**4 + 2*d**4)*(4 - 3 - 2).\nAnswer: -6*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 154 divided by -77.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1376.000000925 - -1376. What is d rounded to 7 dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 22*d**2 - 28*d + 43. Let w be g(-23). Suppose 3*y = -3*m + 336, -411 = -5*y + 4*m + w. List the prime factors of y.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 26*c**2 + 44*c + 266. Does 9 divide r(-22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1645062 * 0.02.\nAnswer: -0.003290124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14 - (-15 + 7 + 5015). Which is smaller: n or -4992?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 62*g**2*i**2 + 199*g**2*i + 16605*g**2 wrt i?\nAnswer: 124*g**2*i + 199*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.783 + -0.083. Let t = y + -3.4. Let l = 0.89 - t. What is l rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 12. Let g be 0 + (1 + -4 - -7). Suppose 0 = -n*b - g. Which is greater: -1\/4 or b?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*9.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1275 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 7*u. Let v(z) = 233*z + 1. Let f(h) = 2*l(h) - v(h). Let g(o) = -2*o**2. What is g(f(k))?\nAnswer: -95922*k**2 - 876*k - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m. Let u(a) = -2*a - 3. Let j(b) be the second derivative of -b**3\/2 - 5*b**2\/2 + b. Let z(o) = -3*j(o) + 5*u(o). What is i(z(x))?\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8573, 17082, 25561, 34010, 42429, 50818, 59177?\n\"Answer: -15*o**2 + 8554*o + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24.16 + -24. Let f = g + -1.16. What is the closest to -2 in -1\/6, 1\/2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1785739?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 491 + -469. Calculate the greatest common factor of 946 and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3702)\/(-4)*(-2 + 82)\/2. Suppose -2*q + 4420 = s. What is q rounded to the nearest 1000?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -19. Suppose -m*l = 5*c - 2*l + 15, -5*l = -3*c + 15. Solve -n + 3 - 4 = c for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**3 - g**2 + 1109*g + 4*g**2 - 629*g - 480*g.\nAnswer: g**3 + 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + 4 + 6\/(-3). Let w = q - 2. Suppose k - w = -0. Calculate the lowest common multiple of 9 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 15*n - 116. Let t be y(8). Let z be (t\/20*-5)\/7. Sort z, -5, -27 in decreasing order.\nAnswer: z, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 39 in 4, 0, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 229.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7678.527 millilitres?\nAnswer: 7.678527","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 15 = -s. Does 2 divide (s - (-4)\/4) + -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(3564)*-4)\/((-3*sqrt(256)\/sqrt(8))\/sqrt(8)))**2.\nAnswer: 6336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (152\/(-133))\/(-4 + 123\/21 - 1).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41.4 + 38. Let y = 38 + -35. Let j = f + y. What is the closest to -0.1 in 0.3, -3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07 - 6024347845355.\nAnswer: -6024347845354.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 98\/(-42)*9\/(-42)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*v - 56*v = -55. Solve 4*d - v = p, d + 3 + 17 = -4*p for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p**2 + 11*p + 7 - 3 + 4*p**2 - 12 - p**3. Let n be m(8). Does 15 = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 14 + -7 + 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5145+107196\nAnswer: 112341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -31*d + 226 - 133 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + 0*1\/6 + 183 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*a - 2)*(-2*a**2 - a + a) + 28*a**3 + 7 - 175*a**2 + 176*a**2 + 4.\nAnswer: 32*a**3 + a**2 + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2039 divided by -1.\nAnswer: 2039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0682744297 to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37440527.\nAnswer: 23, 1627849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -33603*v**2 + 2346*v - 9206282.\nAnswer: -67206*v + 2346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 81*c + 33. Let y(o) = -5*o - 2. Let f(a) = -2*m(a) - 33*y(a). Let v(b) = b - 5. Let w(s) = 1. Let q(n) = v(n) + 5*w(n). Give -2*f(k) + 7*q(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f**2 - 10 - 5*f + 4*f - f**2 - 6*f. Suppose 0 = -4*m + 4*t + 12, -4*t - 47 = -4*m - 7*t. Let g be x(m). Let k(o) = o + 1. Give k(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4990?\nAnswer: 2, 5, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 875469937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5 + 6)*4\/(-10). Let l = -5 - 0. Let p = 2 + l. Which is the third smallest value? (a) p (b) 0 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 13*f**2 + 34*f + 44. Give y(-15).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 13253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = 4*p. Suppose p*v - 2*v + 40 = 0. Does 8 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4213.53 + -4201. What is d rounded to zero decimal places?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 273 - 189. Let t(u) = u**2 + 2*u - 51. Let i be t(-9). Let c be ((-4)\/i)\/((3 + -2)\/(-84)). Calculate the greatest common factor of v and c.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.12 + -0.08. Let w = n - 0. Suppose -2*l - 3*l + 17 = -4*z, 4*l - 4*z - 12 = 0. Which is the third biggest value? (a) 4 (b) w (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -61*d. Let s(m) = 2*m. Determine j(s(b)).\nAnswer: -122*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3843?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a millennium in months?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 a factor of 522471540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of -c**5\/12 - c**2. Suppose -2*f = -t + 8, 0 = t + t - 5*f - 20. Let j(a) = -a + t*a - a. What is j(h(z))?\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1605 + 1603. Let q be 5\/(-2) - (-2)\/(-4). Are q and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-44)\/6 - (-2)\/(-3). Let k(t) = -19*t - 8. Let q be k(h). Calculate the highest common divisor of 16 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of -2*(0 + (-298)\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 15) in base 7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1087*n = -1092*n + 2*v + 78064, 5*v - 15656 = -n. Is 6 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7586823055.00000037 - -7586822970. Let i = 67 - 152. Let a = m - i. What is a rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/81)\/((-2158)\/1638*-7)?\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 340, 456, 638, 886?\nAnswer: 1200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -17760, -17255, -16750?\n\"Answer: 505*i - 18265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 - (-3)\/(-1))*2. Is 4 at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 10\/17, -1\/3, 0.5, -0.3, 9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 253 and 103339?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnconcnckoncoio. What is prob of sequence ono?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -256 = -5*t + 109. List the prime factors of t.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7 - 17)\/5 + (1 - 43)\/(-3). Calculate the greatest common divisor of 1473 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in centuries?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11110101111101 (base 2) to base 14.\nAnswer: -5a45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 3. Suppose -z*t = -v + 4 - 27, v + 5 = 0. Calculate the greatest common factor of 54 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of s**8\/840 - s**6\/60 + s**5\/30 + 3*s**3\/2 - 9*s**2. Let f(n) be the first derivative of b(n). Factor f(v).\nAnswer: 2*v*(v - 1)**2*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-5\/12))**(-24)*(z**(-2\/101)\/z)**(2\/13) assuming z is positive.\nAnswer: z**(12924\/1313)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/3*-2)\/((-44)\/(-66))*-8\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 5. Let t = 7 + -5. Let n(w) = 2 + 4*w + 0*w - t*w. Determine n(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -43 + 42.5. Are 12 and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 618 - 661.1. Let u = m + 43. Is u greater than -0.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131 = 3*v + 29. Suppose 8*s = -v*s - 13*s. Factor -1\/4*k**3 + 1\/2*k**2 + s + 0*k.\nAnswer: -k**2*(k - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(13) + -6*(sqrt(39)\/sqrt(3) + sqrt(13) + sqrt(13))))**2.\nAnswer: 60112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 617 + -616.8. Sort c, 2.3, -5 in ascending order.\nAnswer: -5, c, 2.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a + 110 - 110 + 5*a.\nAnswer: 11*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 184\/(-12)*(-3)\/2. Solve 0 = 5*s - 2*r - j, 2*r = -5 - 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 4*s. Let v = 454 - 454.21. Which is the biggest value? (a) 0.3 (b) v (c) s (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 7*v + 1. Let s be t(13). Let h = -3 + -12. What is the units digit of 6\/h + s\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o*o\/o**17)))\/o)\/(o\/(o**(2\/7)\/o))*(o**(1\/12)*o*o)**(3\/7) assuming o is positive.\nAnswer: o**(-471\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 12 - 3, 226 = 5*m - 2*r. Let j = m - 27. Is 6 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/3*(-2790)\/124. What is the greatest common factor of t and 420?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -518*l + 6*l = 575*l + 42393 for l.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 34\/((20\/(-16))\/(-5)) + 4. Let b = n - 139. Put b, 46, -2 in decreasing order.\nAnswer: 46, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4914 + -4913. Let y(l) be the second derivative of -5*l**4\/12 + l**3\/6 - l**2\/2 + l. Give y(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(19)*2 + sqrt(19) + 5 + 1 + sqrt(19).\nAnswer: 6 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7161 and 7161.\nAnswer: 7161","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1216?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -11376202?\nAnswer: -45504808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -4*(-231580)\/120*15\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/7 (b) 13.1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k**5 + 20*k**4 + 2*k**3 + 2*k**2 + k - 56 wrt k.\nAnswer: 60*k**2 + 480*k + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 4*y**2 + 3*y + 6. Let o(c) = -3*c**2 - 2*c - 6. Determine 3*o(l) + 2*q(l).\nAnswer: -l**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-7)*g)**(29\/5)*(g\/(g**(-13\/2)\/g))\/g**(-5\/11) assuming g is positive.\nAnswer: g**(-441\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/91)\/g*g\/g**35*g**(-10)*g\/(g*(g*g**(9\/5))\/g*g)*g)**(-2\/79) assuming g is positive.\nAnswer: g**(42608\/35945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-20235)\/(-90) - (-5)\/(-6) and 28.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -242 (base 6) to base 2\nAnswer: -1100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a - 9. Let z be f(7). Let l be (-46 - z)\/(-1) - -3. Let k = 79 - l. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 209421?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a microgram in nanograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 2*b - 34, -4*q + 64 - 14 = 5*b. Suppose -4*u + 14 = 2*r + r, 0 = r + 4*u - q. Solve -4*a = 4*w + 8, -r*a - 5 = 5*w - 1 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of h**6\/30 - h**5\/12 - 11*h**4\/24 - 5*h**3\/6 - 253*h**2. Let z(v) = -2*v - 3. Let p be z(-4). Is 21 a factor of i(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -5*u**3 - 95*u**2 - 250*u - 160 = 0?\nAnswer: -16, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of 15*b**4\/4 + b**3 - 12*b - 6. Let a(s) = -29*s**3 - 5*s**2 + 23. Let w(n) = -3*a(n) - 5*c(n). Differentiate w(r) wrt r.\nAnswer: 36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*v - 12068 = 0, -r - v + 6033 = -0*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 - -15 - 4 - -10\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) -0.1 (b) 1 (c) -9 (d) -5 (e) -10\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2991 + 3411. Does 60 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + ((3 - (-12 + 19)) + -13 - -6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/16443 <= -1\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -811, -3169, -7075, -12523, -19507, -28021, -38059?\n\"Answer: s**3 - 780*s**2 - 25*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -258*h + 104. Let g be p(3). Let w = -54 - g. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 231569?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 25096\/1*8\/20*35\/28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 224 and 128.\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -421, -429, -459, -523, -633, -801, -1039?\n\"Answer: -2*y**3 + y**2 + 3*y - 423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, f: 4, u: 3, x: 2, h: 6}. Give prob of sequence huh.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of -i**5\/60 - 5*i**4\/6 + 4*i**3 - 12*i**2. Let a be u(-17). Let t = a - 2. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from ubbbrbbbbbbf.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1242\/1104*((-48)\/99)\/4?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 108 and 2916.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-17)\/12 - (10\/(-4) + 1). Which is the third biggest value? (a) -1\/2 (b) p (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64032 divided by -696?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 106 + -106. Suppose p = -11*x + 892 + 76. Suppose -y + x = y. Is 44 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 101 - 14?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ojyyoyqqoyo. What is prob of sequence qooo?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-16)\/(-56))\/((-8)\/(-196)). Suppose -4 = 3*m - m. Let k(q) = q**2 - 7*q - 7. Let u(b) = -2*b - 2. Give m*k(h) + s*u(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + 87*y - 89. List the prime factors of v(56).\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - 8*y**2 - y - 3. Let q be l(-8). Suppose 15 = -t - q*n + 2*n, 2*n = 5*t - 10. Suppose t = -i - 0*i + 3545. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 2 - 1)\/(-2). Let c(j) be the third derivative of -1\/15*j**5 + j**2 + t*j**4 + 0 + 0*j**3 + 0*j. Factor c(n).\nAnswer: -4*n*(n - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, q: 1, t: 1, z: 2, o: 2}. What is prob of sequence zozk?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/855 and -5\/2079?\nAnswer: 197505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -919\/10 - -92. Let p(s) be the third derivative of 0 - 1\/4*s**4 - w*s**5 - 1\/3*s**3 + 0*s + s**2 - 1\/60*s**6. Factor p(d).\nAnswer: -2*(d + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 6) in base 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -745, -747, -749, -751, -753, -755?\n\"Answer: -2*s - 743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3 - 531860*i**2 + 531857*i + 1063718.\nAnswer: (i - 531859)*(i - 2)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**3 - 1715*h**2 + 3410*h.\nAnswer: 5*h*(h - 341)*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 25 = -h + 5, 3*b - 5 = 2*h. Suppose 3*s - 44 - 24 = -b*q, 0 = 4*s - 4. Solve 4*x = 5 - q for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298491 is divided by 3685.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(210) - -1*sqrt(210))\/sqrt(10) + (sqrt(105)*-2)\/sqrt(5))\/((sqrt(112) - sqrt(112)*-4)*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 + -13. Suppose 0*h + s*h - 8 = 0. What is the remainder when h\/(-10) - 37\/(-5) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -114 - 24745?\nAnswer: -25061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -140*q**2 - 1036*q - 2073. What is a(-2)?\nAnswer: -561","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10\/3 - -31. Are 35 and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9.8 + 11. Let d = a + -1.4. Sort d, 1, 2 in ascending order.\nAnswer: d, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32203.68 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 6 = 30. What are the prime factors of w\/(-2)*(-12)\/18?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3 and 13764.187554173?\nAnswer: 13767.187554173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*k + 4*k - 17*k - 1106*k**2 as x*k + a + u*k**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1869?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.852 + 0.148. What is the fourth smallest value in 0, 5, u, 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**2 + 39*u - 20. Calculate n(-6).\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -98442, -98460, -98478?\n\"Answer: -18*v - 98424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 4*c**2. Let f be (-5)\/(-25) + 30\/(-25). Let m(n) = -n. Let v(b) = -19*b. Let w(y) = f*v(y) - 2*m(y). Give a(w(o)).\nAnswer: 1764*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2214, -2256, -2314, -2394, -2502?\n\"Answer: -o**3 - 2*o**2 - 29*o - 2182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of 9*h - 1\/2*h**2 + 0*h**4 + 37\/42*h**7 - 11\/6*h**3 - 2 + 0*h**5 + 0*h**6. What is the second derivative of p(l) wrt l?\nAnswer: 740*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.6614 and 0.2?\nAnswer: 0.13228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of x**4\/12 - 2*x**3\/9 - 13*x**2\/6 - 10*x\/3 - 12. Factor n(c).\nAnswer: (c - 5)*(c + 1)*(c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 132, 119, 74, -15, -160?\n\"Answer: -2*k**3 - 4*k**2 + 13*k + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -521, -544, -585, -644, -721, -816?\n\"Answer: -9*w**2 + 4*w - 516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -250, -978, -2192, -3892, -6078, -8750, -11908?\nAnswer: -15552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/3 - 5\/12. Which is the fourth biggest value? (a) 4 (b) 5 (c) -0.5 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -5\/3. Let z = 42 - 124\/3. Which is the closest to -3? (a) w (b) 0.4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -15*u + 7. Suppose -3*h = 15, -b + 3*h + 5 = -7. Is g(b) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -24*r**2 - 22*r**2 + 87 + 32*r + 47*r**2. Let s be m(-29). Let u be (2 + -2)\/2 + -3. Do s and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21\/40 - -2\/5. What is the nearest to 2 in -1\/7, 3, f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*3)\/((-127)\/96520*40).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 103515?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3 = -4*y, 5*k - k = 4*y + 72. Let q = -4 + 9. Suppose 2*c + 8 = -3*h - 2*c, -q*h + 5*c + 10 = 0. Solve r = -3*o - 2*r - 12, 3*o + 4*r + k = h for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -433 = -h - 442 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -256*j + 1 - 1.\nAnswer: -256*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 113.16 + -0.16. Let c = -112.9 + v. What is the nearest to c in -3, -0.4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/16)\/(i\/i**6))\/(i\/((i**(-3)\/i*i*i)\/i)*i*i)**26)**(-20) assuming i is positive.\nAnswer: i**(12075\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55825952?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -706*p + 957*p - 772*p - 20840 for p.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -424.3 - -381. Let r = a - 7.7. Let g = r + 50.02. What is g rounded to one decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 6, 28 in descending order.\nAnswer: 28, 6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 544378*y - 544279*y = 2475 for y.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1626 * 112\nAnswer: 182112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**(3\/7)\/u*u*u))**(-1\/10)*(u**8)**(24\/13))**(-4\/13) assuming u is positive.\nAnswer: u**(-5428\/1183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -99 and 0.27.\nAnswer: -26.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 5*g = -19, 5*j + 4*g - 3*g = 10. Suppose -6*w - 15 = 3*f - 2*w, j*f + w = -6. Is 5 a factor of 3*f\/6*-10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 68308 or 68307?\nAnswer: 68308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21*a**5 + 230*a - 230*a + (0*a**2 + a**3 + 0*a**2)*(-a**2 - 3*a**2 + 5*a**2) + 23*a**5 - 48*a**5 + 24*a**5 - 20*a**3.\nAnswer: -21*a**5 - 20*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -89 + 92. Suppose s*u = 2*r - 130, 2*u = -5*r + 6*r - 66. What is the least common multiple of 14 and (-7)\/105*3 + r\/10?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 w when four letters picked without replacement from {f: 4, l: 1, g: 2, w: 1, h: 3}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 5*i + 29 + 6, i - 20 = -2*x. Which is bigger: -1\/4 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5850*o**3*p**2 + 18*o**2*p**2 - 2*o**2 + p**2 wrt o?\nAnswer: -35100*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -20*j. Let w(d) be the third derivative of -5*d**4\/24 + 47*d**2 - 5. Give 6*c(f) - 26*w(f).\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.341 + -1.441. Let z = -13.5 - -14. What is the second smallest value in -19\/5, 0.2, z, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 140724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 83.76 - 85.76. Let y = 2 + -2.2. What is the second biggest value in y, q, -1.7?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21911 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 + 659*b**2 - 57 - 2*b + 25 + 17 to l*b + n*b**2 + o and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -95571, -191143, -286715, -382287, -477859, -573431?\nAnswer: -669003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8.8 - -9. Let c = -0.035 - 0.845. Let o = -0.12 + c. Sort o, 0.1, l in decreasing order.\nAnswer: l, 0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 109, 815, 2001, 3673, 5837, 8499, 11665, 15341?\n\"Answer: v**3 + 234*v**2 - 3*v - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 955939 is divided by 1754.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 - 9*w + 176. Let l be h(-20). Let o(t) = t**2 + 44*t + 6. Let d be o(l). Solve d*m + 0*m - 6 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-162)\/(-4) - 1*(-3)\/12. Is p >= 40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 767 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h = 178 + 108. Find the second derivative of -3*r - 14*r - 6*r + h*r**2 - 6*r wrt r.\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2886793023 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -88\/136904355 and -26\/21.\nAnswer: 136904355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 1:14 AM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 0, -9\/4?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14534*k = 12283*k + 90040 for k.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -2*m + 2514, -5*m + 2*u = -m - 5044. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1147 + 1093 - 2820\/(-52).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/66 - -127\/330. Let m = -504\/13 - -7586\/195. Which is the biggest value? (a) o (b) 4\/5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 257 + 38?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = n - 4*u, -5*n + 2*u - 5*u = -1 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6, -19, -58, -135, -262?\n\"Answer: -2*t**3 - t**2 + 4*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -224 + 227. Let d(g) = -g**2 - 4*g + 7. Let j be d(-5). Suppose n*c - j = c. What is the greatest common divisor of 2 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1620*t**2 + 130860*t + 2642645 = 0 for t.\nAnswer: -727\/18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((6*(sqrt(75) - (sqrt(75)*-1 + sqrt(75))))\/(sqrt(48)*-6))\/((sqrt(55) + -4*sqrt(165)\/sqrt(3))\/((-2*sqrt(88))\/sqrt(8))).\nAnswer: -4 - sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52 and 37284?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x**3 - 5*x**3 + 341*x + x**3.\nAnswer: x**3 + 341*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*u**2 + 22*u - 6 = 0. What is u?\nAnswer: 3\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 108 and 22464.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -438.5 + 439. Which is the closest to z? (a) -2 (b) -3\/5 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -8. Let w be -19 - -16 - (0 + (-40)\/14). Which is the nearest to k? (a) w (b) -1 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-603)\/(-39))\/3 + 34\/(-221) + 7.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9883.\nAnswer: 9883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1 + sqrt(22)\/sqrt(396).\nAnswer: -1 + sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 - 2110002011?\nAnswer: -2110001212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1079915 to the power of 1\/3, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 9*h**2. Let k(p) = -2*p - 69974. What is k(b(z))?\nAnswer: -18*z**2 - 69974","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 103.2 + -92. Let y = -13 - -2. Let a = y + j. Is 1\/2 at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7186280.\nAnswer: 2, 5, 179657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -176 - -200. Calculate the remainder when 163 is divided by i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 28 = 5*b. What is the remainder when b is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - 2*a + 2*a)*(136 - 430 - 203) - 7*a + 4*a - a.\nAnswer: 493*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 30\/135*6 + (-4)\/(-2). Let s(h) be the third derivative of -1\/6*h**4 - 10*h**2 - q*h**3 + 0*h + 0. What is the first derivative of s(b) wrt b?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 2499.43?\nAnswer: 12497.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 52 - 50. Calculate the least common multiple of ((-12)\/14 + 0)\/(g\/(-14)) and (-36)\/(-10) - 4\/(-10).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 9, w: 5}. Give prob of picking 4 c.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -225*m - 36. Give v(0).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -98051, -103534, -109017, -114500, -119983, -125466?\n\"Answer: -5483*x - 92568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, b: 1, u: 3, z: 1}. What is prob of picking 1 u and 1 k?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*h**4 - 4*h**3 - 336*h**2 - 212*h + 8 = 0. What is h?\nAnswer: -1, 1\/28, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s - 7. Let d(i) = -1. Let r(m) = 3*d(m) + o(m). Let t be r(10). Suppose t = f - 5 - 9. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 1073*n**2 - 11*n. What is the hundreds digit of b(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -4*u + 5. Let x be b(-9). Let c(d) = 4*d**2 + 2*d + 14. Let k be c(-3). Let p = k - x. Solve -5*o + 7 + p = -3*y, 0 = 3*o + 5*y - 40 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 496 + 805. Let u = -14 + 19. Suppose 0*v + u*t = -4*v + m, -3*v = 4*t - 976. Calculate the greatest common factor of v and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, 3, -3941, -15 in decreasing order.\nAnswer: 3, 1, 0, -15, -3941","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1637140*x**5 - 45755*x - 2 wrt x.\nAnswer: 32742800*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 2*g**2 - 5*g + 24. Let a be s(3). Let f(j) be the first derivative of j**2 + a*j - 4\/3*j**3 + 1\/2*j**4 - 4. Factor f(z).\nAnswer: 2*z*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -33, -79, -165, -303, -505?\nAnswer: -783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l + 4*l = 135. What is the remainder when 16 is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3779069 or -5?\nAnswer: 3779069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-6)*(-18)\/(-245)*(-13902)\/331?\nAnswer: 36\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnk when three letters picked without replacement from {k: 1, n: 14}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (-8 - (33 - 16 - 8)) - 2.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00827229 rounded to five decimal places?\nAnswer: 0.00827","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -24*355\/(-8 + 3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8998176 a multiple of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.11 (b) 0.5 (c) 5 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + sqrt(55)\/sqrt(5))**2 + 2 - (sqrt(704)*-2)**2.\nAnswer: -2770","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 494226 is divided by 80.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - -11) + 1 + -2. Let w = o + -6. Suppose w*z + 3*c = 4 + 6, -5*z + 10 = 5*c. Solve 0*s = z*s - 20 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of -m**5\/20 + 5*m**4\/6 + 71*m**3\/6 + 30*m**2 + 1799*m. Factor j(n).\nAnswer: -(n - 15)*(n + 1)*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -4*p - 40, 0 = 2*p - 4*g - g + 35 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b**2 + 1285*b - 10600 = 0. Calculate b.\nAnswer: -265, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1092665269?\nAnswer: 293, 3729233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15819 bigger than 15822?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*f**3\/9 - 34*f**2\/9 - 32*f\/9 - 8\/9 = 0. Calculate f.\nAnswer: -2, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -1) + (-79 + 49 - (0 + -4))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20223 - -20222. Which is the closest to l? (a) -0.41 (b) -0.5 (c) -10\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2597321 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/5 in 0, -0.09, 2\/9, 1\/31?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/20*96\/12.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**(-22)\/c))\/(c\/c**(1\/2)))**(-44) assuming c is positive.\nAnswer: c**(-1034)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12216, -24584, -37108, -49794, -62648?\nAnswer: -75676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7704*n**3*q - 510*n**3 + 3*n*q - 2*n - 1970*q + 74 wrt n.\nAnswer: 46224*n*q - 3060*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 135957 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -425*u**4\/24 + 215*u**3\/6 - 652*u**2. What is the first derivative of w(f) wrt f?\nAnswer: -425","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-9)*((-190)\/35)\/(((-8400)\/(-98))\/30)?\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7232, -7237, -7226, -7187, -7108, -6977?\n\"Answer: 2*o**3 - 4*o**2 - 7*o - 7223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*v - 400585 = -94*v. What is the thousands digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6 - -1)*(-14 - (-120)\/12). What is the units digit of (331*3)\/(5*6\/z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 11.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of a**3\/6 + 7*a**2 + 2*a - 12. Calculate u(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 273\/117 + (-1 - 2\/(-3)). Let a(f) be the second derivative of -1\/18*f**3 + 1\/12*f**4 - 1\/3*f**z + 2*f + 0. Let a(l) = 0. What is l?\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -39, -77, -115, -153, -191, -229?\n\"Answer: -38*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -d**3 + 0*d + 1\/2*d**2 + 1\/4*d**4 + 4. Let q(t) be the second derivative of a(t). Differentiate q(w) wrt w.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168220 divided by -12940?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 - 1)*(2*b**3 - 2*b**3 - 2*b**4) + (b**3 - 3*b + 3*b)*(-6*b + b + 4*b))*(-403 - 20 + 65).\nAnswer: -358*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5991920 a multiple of 619?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13 + -4ce67?\nAnswer: -4ce54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/127596 and -7\/32.\nAnswer: 1020768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -154892*k + 3. Let o(x) = -16*x. Determine o(y(l)).\nAnswer: 2478272*l - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 448 and 392?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1467.5 to the nearest 100.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1\/6, 1128, 1, 0.1 in increasing order.\nAnswer: -3, -1\/6, 0.1, 1, 1128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21538 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 3*j**3 + 27319041*j**2 + 62194153103784*j - 62194180422828 = 0.\nAnswer: -4553174, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1534 - -976. Let t = w + 1675\/3. Find a such that 10\/3*a + 0 - t*a**2 = 0.\nAnswer: 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 17 = 2 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t - o, 3 = -54*t + 49*t - 2*o for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/2, 11, 0.28?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (7 - (4 + 2)) + -4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of -163*i**4\/4 + 2*i + 379. Let g(q) = -2*q. Determine g(s(b)).\nAnswer: 978*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -4\/9, 0.13, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f + 7*d + 3108 - 3073, 2*d = -5*f - 10 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a centimeter in millimeters?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 529056 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 12 + 11 + 2*q - 3430*q**2 + 3358*q**2 to the form g*q + x*q**2 + s and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30386 + 65877. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -85 by -85.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -10*1\/((-6)\/9). Let p be ((-32)\/12)\/((-10)\/d). Solve -8 = -0*n + p*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g - 1. Let h(t) be the third derivative of t**6\/24 - t**4\/4 - t**3 - 51*t**2. What is 6*a(d) - h(d)?\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 804 = 4*x, 0 = 2*w + 2*x - 301 - 249. Calculate the highest common factor of 255 and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, -6\/307, 2, -0.08 in increasing order.\nAnswer: -0.08, -6\/307, 4\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**2 - 17*l - 25. Let o(r) = -2*r**3 - 21*r**2 - 9*r + 4. Let i be o(-10). Calculate the lowest common multiple of 10 and d(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p**(-1\/9)*p)*p*p)**2)**48)**(-3\/8) assuming p is positive.\nAnswer: p**(-76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w + 0*w + 13*w**3 + 24*w**3 - 39*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2000753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 19*n**3 + 74*n**2 + 86*n + 342. Determine q(-4).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 5*h. Solve 2*u - 14 = 3*v, v = u - h*v - 6 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2568 and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiii. What is prob of sequence ii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 820 - 813.01. What is n rounded to 1 decimal place?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 44 - 14. What is the remainder when 10 is divided by (r\/(-8))\/(3\/(-12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1285372 is divided by 2794.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g**3*m**2 - 3969295*g**3 + 7*g**2 + 813*g*m**2 + 2*g*m + 2*g + m**2 + 7*m + 139 wrt g?\nAnswer: -6*g*m**2 - 23815770*g + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 2*l - 2*l)*(3213*l + 1034*l + 2712*l).\nAnswer: -6959*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((35\/(-7))\/15)\/((-15)\/(-18))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65474, -130782, -196088, -261392, -326694?\nAnswer: -391994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2*-3*(sqrt(228)*1 - sqrt(228)))\/((sqrt(12) - 5*sqrt(24)\/sqrt(2))*5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 + 1 + 39\/3. Let a = v + -29. Find the common denominator of -123\/10 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68955?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/176 and -7\/8?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(96) + sqrt(96))*-6 - sqrt(96))\/(3*1*sqrt(2)) + (sqrt(9)*-2*2)\/(sqrt(3) + (-3*sqrt(432) - sqrt(432))))**2.\nAnswer: 906304\/6627","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-20))\/(5\/40)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.083474mm to meters.\nAnswer: 0.007083474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w - 18*w - 7*w + 25 + 4. Is c(-16) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61879700 to the nearest integer?\nAnswer: 7866","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/51 and -13\/153.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 12*o - 5*f + 19 = 0, 12 = 4*f. Let v be (-2)\/(-7) + (-333)\/63. Put -32, v, o, 0 in ascending order.\nAnswer: -32, v, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 8*q**2 + 15*q - 5. Let a be p(6). Is a not equal to 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 k, and 1 z when three letters picked without replacement from kuzys.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**2 - 1\/11*q**4 - 4\/11*q**3 + 30\/11*q + 0 = 0. Calculate q.\nAnswer: -5, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -228*x + 56*x + 21 + 53*x + 125*x.\nAnswer: 6*x + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 553132.8 micrograms to grams.\nAnswer: 0.5531328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -9*c + 3. Let x be j(3). Let l = x - 5. Let w = -21 - l. What is the smallest common multiple of 4 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 10*t**2 - 10*t - 14. Let z be u(11). Let r(n) = 4*n + 4. Let q be r(z). Let s = q + 10. Which is the closest to 0.1? (a) s (b) -1\/4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r**2 + 11*r + 1. Let k(a) = a**2 + 6*a + 1. Let b(h) = -5*k(h) + 3*o(h). Let z = 7 - 5. What is the remainder when b(z) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -66 - -60. What is the units digit of l + -29*(6 + -11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2477894827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 11. Let z = -1294439 - -1294444. Sort z, 4, -1, u.\nAnswer: u, -1, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 56.7 or 284?\nAnswer: 284","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 5*x**3 + 2*x**2 - 1. Let p be k(-1). Let j be (-44)\/(-33)*6\/p. What is the units digit of 4*j\/24*-111?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 725?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 8*z**2 - 6*z - 3. Let m be n(7). Suppose -76 + 1 = -3*x. Let p = x - 11. Solve -10 = -r - 3*f, 0*f = m*r - f - p for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1467?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 49.1 + -47. What is the biggest value in b, -3, -2\/5, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2, -0.5, 3\/4, 1551\/7, -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*v - 47*v + 44*v - 14*v.\nAnswer: -63*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 164, 154, 130, 86, 16, -86, -226, -410?\n\"Answer: -x**3 - x**2 + 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -2*w + 5*g + 22, -3*w = -5*g - 34. Suppose 2*t + 2 = 0, t + 4*t = -u + w. Is 2 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 33. Suppose -3*x + d = -5. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w - w - w)*(-2*w + w + 3*w) + (0*w - 3*w + 5*w)*(-w + 2*w - 2*w).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - -19.308.\nAnswer: 19.408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 13*o**2. Let i(g) = -330*g**2. Give f(i(v)).\nAnswer: 1415700*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - 3*s**2 + s + 10. Let l be q(-5). Let p = l + -53. Solve 0 = -c - 4*o + o, c = -p*o for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45839*b**2 + b**3 - 45845*b**2 + 3*b + 5 - 9*b**4 - 3 to the form l*b**2 + f*b**3 + u + h*b**4 + k*b and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -20a6 + 5?\nAnswer: -20a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1 - (-10)\/(20\/198)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 1 + 19. Suppose m*h - 218 = 2*r - r, -2*h = 5*r - 98. Is h a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 8:32 AM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/70)\/(12\/(-16))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/17)*m)\/m*m*m)**(2\/11)*(m\/m**(-3\/16))**(-1\/38) assuming m is positive.\nAnswer: m**(2117\/5984)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -5*p + 14. Let s(a) = a**3 + 13*a**2 - 18*a - 54. Let k be s(-14). Let y be t(k). Solve y*v + 2 = -2*d + 4, -5 = -5*d + 2*v for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119355 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - i - 129, 0*i - 270 = -4*o - 2*i. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of -c**4\/12 - 3*c**3 - 13*c**2\/2 + 42*c. Let m be g(-7). Let i = m - 60. Solve 4*x - 20 = -i*n, -5*n + 0*n + 25 = 3*x for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 80 = -13*g. Let z be (-1)\/(g\/60) - 3. Let m = -32 + 34. What is the second biggest value in z, -5, m?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 7*a**2 - 23*a + 27. Let k be g(9). Let d be 9\/(k\/(-16)) + 0\/(-6). Solve -11*s = -3*s - d for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 13*s**2 - 9*s - 23. Let h be v(12). Suppose 0 = h*n + 41 + 37. Calculate the remainder when (-7 - n)*-67*1 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7.2, 0, 5, -0.4, -44, -0.1?\nAnswer: -7.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0549 + 3.\nAnswer: 3.0549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 2. Let v be z(0). Let c be -4 - (2640\/54)\/(-11). What is the second biggest value in -1, v, c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-46)\/(-42) - 1)*-6?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -12, 3, 47, 19, -2, 0 in increasing order.\nAnswer: -12, -2, 0, 2, 3, 19, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 68 + -72. Let g be ((-12)\/(-16))\/(m\/(-48)) - 4. Is 2 at least as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5334 + 5375. What is the remainder when 126 is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -705*f**2 + 929*f**2 - 3371*f**2 to the form m*f + c*f**2 + o and give c.\nAnswer: -3147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 5 - 6) + 33.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 4 = w, -6 + 2 = 4*i - w. Let p(r) = r - 7. Let h be p(i). Let d = h + 10. Does 3 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -5*r - 9. Suppose -c - 5*m + 28 = 0, -6 = 9*c - 6*c - 3*m. Give d(c).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2412985454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -151667, -151664, -151659, -151652, -151643, -151632?\n\"Answer: j**2 - 151668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25414766 - 152.\nAnswer: -25414918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -100891207*b**3*u + 11912026*b**2*u wrt b.\nAnswer: -605347242*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*k**4 - 2*k**2 + 1 - k**4 - 2*k**2 - 6*k + 10*k + 2*k**3 - k**4 in the form r*k**4 + c*k**3 + v*k**2 + o*k + t and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -276*v - 3321. Calculate k(-12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - 2)*(-311*t + 796*t - 282*t) + 0*t - t - 3*t in the form w + g*t and give g.\nAnswer: -410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 32 = -4*n - 0, 2*n = -5*m + 16 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -2\/3, -0.2, 1\/134240, 3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84 + 7*g - 84 + g.\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 196404366 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175 = -60*d - 55. Factor 104\/5*l - 2\/5*l**d - 1352\/5.\nAnswer: -2*(l - 26)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 8:09 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*a**3 + 10*a**3 + 7*a - 4*a**2 + 4*a**2.\nAnswer: a**3 + 7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -2393336?\nAnswer: 239333.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4306300940 to the nearest integer?\nAnswer: 65622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/3)\/(1 - 15\/9)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 718383 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -406, -3, 15\/4, 1, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sjnpnpjsrrrisrj. Give prob of picking 2 r and 1 n.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -2*z + 8. Let s(v) = 4*v - 1 + 2 - v + 8*v**2 - 8. Is s(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**4\/h*h)\/((h*h\/h**(-2\/11))\/h*h))**(-5)*(h**(-7)\/(h*h**(7\/2)\/h*h))**40 assuming h is positive.\nAnswer: h**(-5160\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 5880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18*(-4 + 52\/12) - -31. Are 320\/9 and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 7:38 AM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, -42, -44, -62, -102, -170, -272, -414?\nAnswer: -602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 59.39061ng?\nAnswer: 0.05939061","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d**(-2\/3)*d)*d)*d*d)\/d**(-4\/11))**(3\/23) assuming d is positive.\nAnswer: d**(56\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*j + 17*j = 6*j - 828 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 k when two letters picked without replacement from aahhahkkkkhahaktapp?\nAnswer: 25\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/9 - 4*l - 34\/9.\nAnswer: -2*(l + 1)*(l + 17)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**3 - 9 + 9)*(-649*s + 321*s + 326*s - 16).\nAnswer: -4*s**4 - 32*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -20100002 (base 3) in base 15?\nAnswer: -157e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 62 - 12 = 0. Suppose 5 + 5 = 5*w. Calculate the remainder when w\/7 - (-1285)\/35 is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3162c5 + 2c?\nAnswer: 316313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -173 divided by 822981.\nAnswer: -173\/822981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 225\/60*2\/(-20)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4947, -7675, -12215, -18561, -26707, -36647, -48375, -61885?\n\"Answer: h**3 - 912*h**2 + h - 4037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -9*w - 1. Let x = -15 - -9. Is c(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6646991927 to the power of 1\/2, to the nearest integer?\nAnswer: 81529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8479 + 3*q - 20*q**2 - 16941 - 3*q + 8462.\nAnswer: -20*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3330712?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -2. Suppose 718 = j*n - w + 2*w, -5*w + 301 = 2*n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -49326 at most as big as -49329?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -2, 93, 0.1, -195.05 in decreasing order.\nAnswer: 93, 0.1, -2\/3, -2, -195.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ncf when three letters picked without replacement from {f: 1, c: 2, n: 1, x: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.273 and -275172?\nAnswer: 75121.956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4\/13 - -86\/195. Sort h, 0.26, 15 in ascending order.\nAnswer: h, 0.26, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (1*(-1 + sqrt(153)) - sqrt(153)) + 3 + (sqrt(153) - (sqrt(153) + 0 + sqrt(153)) - sqrt(153)) + -2*(1*sqrt(153) + -3)*6)**2.\nAnswer: -3024*sqrt(17) + 31284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k + k + 8*k - 9*k. Let f(i) = -4. Let t(u) = -u + 3. Let h(p) = -3*f(p) - 4*t(p). Determine h(z(s)).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3*o**2 - 3*o + 14*o**2 + 8*o**2 - 5 - o. Is 23 a factor of k(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(864) - (sqrt(864) + 1*sqrt(864)))\/(sqrt(96)\/sqrt(12)) - 2*(sqrt(75)*1 + -2 + sqrt(108) + sqrt(3))**2.\nAnswer: -872 + 90*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/12)\/(20\/32).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 4*l - 25 = 2*l, -19*n + 34*n - 11*n + 5*l + 20 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 14453.64 tonnes?\nAnswer: 14453640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35222, 140887, 317004, 563579, 880618, 1268127, 1726112?\nAnswer: 2254579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73 + 8 = 13*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 516 - 226. What are the prime factors of l?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/4 + (-3575)\/1300)*(-2)\/3.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/(-12)*(-2792)\/(-349)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -10. Calculate the remainder when h is divided by 8\/(-6)*(2 + -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52837 plus 3?\nAnswer: -52834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*g - 106*g + 213*g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*((-72)\/(-192))\/((-2)\/(-16)) - 3.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of -1\/7*r**2 + 1\/21*r**4 - 2 + 64*r + 1\/21*r**3 - 1\/35*r**5 + 1\/147*r**7 - 1\/105*r**6. Factor y(z).\nAnswer: 2*(z - 1)**3*(z + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/3 + -1 + 0. Suppose -5*l = -4*t + 5*t - 9, 3*t - 15 = -3*l. Let v be t*(-2)\/(-20) + 48\/(-270). Which is the nearest to v? (a) -4 (b) -3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3*a**3 + 3*a**2 - 9*a - 2. Let k(f) = 5*f + 14 - 19 - 1 + 23*f**2 + 7 - 24*f**2 + 2*f**3. Give 5*k(u) + 3*n(u).\nAnswer: u**3 + 4*u**2 - 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**2\/5 + 5539408*p\/5 + 2215764 = 0. What is p?\nAnswer: -2, 5539410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -294659.\nAnswer: 883977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2 + 3)*(28 - 28*p - 28)*(0*p - p - p + (5*p - p - p)*(-1 + 4 - 5)) in the form d + m*p + o*p**2 and give o.\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3209, -3189, -3167, -3143?\nAnswer: -3117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (w**2 - w**2 - 2*w**3)*(1390 - 2269 - 1600) to the form b*w + i + v*w**2 + a*w**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -68*p + 70*p - 7, -2*w + 8 = 5*p for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m**2 + 127*m - 255*m + 128*m - 3 - 4*m**3. Let s(w) = 3*w**3 - 2*w**2 - w + 2. Give 3*s(r) + 2*z(r).\nAnswer: r**3 - 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 9 + 60 = 3*r, -r = 5. What is the remainder when o is divided by 16\/(-6)*(-9)\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.5 + -2.5. Let y = 1781 + -1790. What is the closest to 0 in 2, q, y?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c**5 + 80*c**4 + 7352*c**3 + 102944*c**2 + 368492*c + 272816 = 0. What is c?\nAnswer: -17, -4, -1, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/7 + 1527\/5271. Let l = v + 3251\/3012. Let w = 47\/36 - l. What is the second biggest value in 0.5, w, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**2 + 3*k**2 + 0*k**2)*(-3 - 2*k + 3) - 2*k**3 + 17*k**3 - 2 - k**3 - k.\nAnswer: 16*k**3 - k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1884 in 0.2, -0.2, 1\/2, 166, -2\/15?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216\/5*z + 6*z**5 - 78\/5*z**4 - 246\/5*z**3 + 726\/5*z**2 - 216\/5 = 0.\nAnswer: -3, -2\/5, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8384*q + 8129*q = 5610 for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/10 (b) 3\/5 (c) 2954.9 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -x + 450. Is x a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115307 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33 + -33. Let h(j) = j**2 + 1. Determine h(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -523 + 344. Let f = t + 200. What is the greatest common factor of f and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 80 and 16.9?\nAnswer: 1352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + 2*z - 2. Let s(f) = f**3 + 3*f - 3. Let l = -4 - -7. Let k = l + -5. Give k*s(o) + 3*b(o).\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/129 and -49\/6.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 k, and 1 p when three letters picked without replacement from xppbpxbxppppkxppxx.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 11:32 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 7:09 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20080?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 193 - 189. Calculate the highest common divisor of k and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11.4 - -2.67372.\nAnswer: -8.72628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-4)\/(-10))\/((-18)\/(-15300))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19.2 + 19. Let r = -2 - -1.7. Which is the closest to -1? (a) 2 (b) q (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03908015 and -5.6?\nAnswer: 0.21884884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 338014?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32 - -50. Let f be (262 - 6)\/(116\/r). Let o = -22589\/638 + f. What is the common denominator of o and -121\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -5 - -6) + -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -55075 divided by 5?\nAnswer: -11015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g + 4*g + 5*h - 15 = 0, 17*h - 7*h = g - 7*g - 34 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110 - -102?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 93944.78mg?\nAnswer: 93944780000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 626 (base 8) in base 6?\nAnswer: 1514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 3) to base 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*u**2 - 9*u**2 - 4*u**2 to the form w*u**2 + l*u + i and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 7:46 AM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1551522 (base 6) to base 8\nAnswer: -264412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand i + 3*i + 11*i + (14*i + 18*i - 13*i)*((3 + 1 - 5)*(0 + 4 - 3) + 1 + 2 - 5 + 2 + 0 + 0 + 1 + 1 - 3 - 3 + 2 + 2 + (2 - 1 - 3)*(1 - 3 + 3)) + 1 + i - 1.\nAnswer: -41*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**10*(x\/((x**32*x)\/x))\/x)\/(x**36\/x**(-8\/7)) assuming x is positive.\nAnswer: x**(-414\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 65845593 a multiple of 7795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1361 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 158.3095374 milliseconds?\nAnswer: 0.0000002617551875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2234 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000003913 rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 + 54 = 5*d + 4*v, 6*d + v - 23 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 6*k**2 + 31*k + 3. Let t(n) = 11*n**2 + 62*n + 6. Let j(h) = 7*a(h) - 3*t(h). Is 7 a factor of j(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21165*t**3 + 90*t + 2037778 wrt t.\nAnswer: -63495*t**2 + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -119, -127, -135, -143, -151?\nAnswer: -159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/3 - 4744\/(-24). Let m = r - 2180\/11. Suppose f - 6*f + 2*o - 25 = 0, -o = -f - 5. Which is the nearest to -1\/2? (a) 0.12 (b) m (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x + 10. Let a be d(-7). Let h = -9 + a. Suppose -c = 2 - h. Does 6 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-50)\/975)\/(1\/3)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -4. Suppose 1 = -s - 1. Let n = s - w. Let o(b) = -b**3 - 3*b**2 + 5*b + 4. What is o(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*z - 3207 + 2279 = 0 for z.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t - 4. Let z(y) = -7*y + 11. Let f(q) = -2 - 1 + 2 + q. Let u(d) = -6*f(d) - z(d). Let k(m) = -5*m - 1. Let h be k(1). Calculate h*u(g) + 7*o(g).\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -55*i - 65. Let s be 96\/72*(-42)\/(-8). Suppose 0 = -0*d - s*d - 455. Let h(k) = 5*k + 6. What is d*h(f) - 6*u(f)?\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5469174, -5469177, -5469180, -5469183, -5469186, -5469189?\nAnswer: -5469192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 46471287 or 46471290?\nAnswer: 46471287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -278*b - 2155 + 209 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + 2*v**2 - 2*v - 1. Determine k(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 2688 - 190. Let u = -607 - r. Is u a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 20*s**3. Suppose -7*p = -2*p + 10. Let g = -990 + 993. Let m(l) = 2 + 288*l**3 - 291*l**g + 1 - 3. What is p*u(k) - 15*m(k)?\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of l**3\/6 + l**2\/2 - 3*l. Suppose -25 = 3*h + 5*p, 4*p = h - 3 - 0. Calculate a(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -173 + 166 - (1 + -7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14815?\nAnswer: 5, 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(9*14\/63)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10700624?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 5*n - 0*l - 18, 0 = -3*n + l + 8. Solve -4*k = -3*c - 19, 23 = 5*k - 0*c - n*c for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42844596 and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -0*q - 2*q. Suppose b - p - q = 0, 3*b + 2*p = 11 + 45. Calculate the highest common divisor of b and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -1\/62 (c) -1 (d) 43 (e) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 - 11*g + 1. Determine w(-12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/17647128 and 67\/47248.\nAnswer: 35294256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oxu when three letters picked without replacement from xpxoppuoppox.\nAnswer: 3\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 8673694, 8673697, 8673700, 8673703, 8673706?\n\"Answer: 3*l + 8673691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwrwrrrwwrrwr. Give prob of picking 2 w.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 717 > 718?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -3*p - 1. Suppose 2*r = -3 + 1. Let j be k(r). What is the second derivative of -5*f - 2 + j + f**5 + 9*f wrt f?\nAnswer: 20*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 4*v + 5. Let c(w) = -2 + 30082*w - 30079*w + 5. Let z(b) = -5*c(b) + 4*m(b). What is z(-10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 1 = -4*b - 7, 4*b + 5*p = 10. Let c be 0*(b + -1) - -3. Suppose 4*w - c*z - 134 = 0, w - 4*z = -2*w + 97. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1321, 1287, 1253, 1219?\nAnswer: 1185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l - l**2 + l. Let z(i) = -22*i - 3. Let r(n) = -15*n - 2. Let d(v) = 3*r(v) - 2*z(v). Give c(d(m)).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/3 in -4, -0.1, -5, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -539 - -44197\/82. Put z, -1\/5, -0.4 in increasing order.\nAnswer: -0.4, -1\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 111 + 49. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3950, 3868, 3754, 3608, 3430, 3220, 2978?\n\"Answer: -16*p**2 - 34*p + 4000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + 471)*480\/7200.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z + 1. Let i = -3992 + 3996. What is c(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 3*k - 2*k)*(12*k + 5*k**4 - 12*k) + (-4*k**3 + k**3 - 2*k**3)*(-k**2 - 2*k**2 + 5*k**2).\nAnswer: -25*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5799811 is divided by 19?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 47*r + 3. Let a(d) = -47*d - 3. Let f(g) = 7*a(g) + 6*l(g). Let s be f(-2). Let j = 15 - 2. What is the highest common divisor of s and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-119)\/(-28) - (-2)\/(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -14\/8571?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1318 + -1314. Let j = 7 - 5. Find the third derivative of -4*v**4 + v**j - 13*v**g - 13*v**2 - 4*v**4 wrt v.\nAnswer: -504*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42765*c = -41718*c - 33504 for c.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 1 - 9 = 0. Let t(c) = -c**3 - 3*c**2 + 3*c - 2. Let v be t(-4). Is v greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 - 23. Let u be ((-12)\/9)\/(4\/b). Determine r so that -4*r + 15*r**4 + 12*r**u + 8*r**4 - 12*r**3 - 19*r**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11462 divided by -4.\nAnswer: 5731\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 4*h. Suppose h = m - 2*m - 10. Calculate the least common multiple of 7 and (-28)\/m + 6\/30.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = -3*p + 23*f - 19*f, -3*f = 2*p + 40 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2 + 140248*w + 1229343844.\nAnswer: 4*(w + 17531)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 46 = 4*s. Let c(l) = l**3 + 4*l**2 + 4*l + 1. Let y be c(-5). Let t = y + s. Solve -j = t + 2 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) - sqrt(36)\/sqrt(2)*-4)\/(-4*(sqrt(9) + 1*sqrt(9))) - 3*-2*3*(sqrt(4)\/sqrt(2))**2.\nAnswer: -5*sqrt(2)\/8 + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 196, 3, -2772 in descending order.\nAnswer: 196, 3, -2772","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - n**2 + 53. What is the units digit of a(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6216473, 6216472, 6216471?\nAnswer: 6216470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h + 12. Let v(m) = m**3 + 3*m**2 - 6*m - 6. Let s be v(-4). Suppose -2*a = s*b - 4*a - 22, a + 4 = 0. Let u be i(b). Solve 0 = q - 0*q - u for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -1 + (13 + 3 - (-14 + -9 + 31)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 22.9? (a) 9 (b) 0.2 (c) -92\/9 (d) 0.5 (e) -5 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212115 is divided by 19277.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -0*r + 18. Calculate the least common multiple of 2*(1 - -1) - 2 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -2*h**4 + 100*h**3 - 98*h**2 = 0.\nAnswer: 0, 1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/10 of a day?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 3:21 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(19) + 2 + sqrt(19) - sqrt(19)) + -5)**2*-5.\nAnswer: -275 + 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2261 + -1396. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 7:45 PM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 4*r**2 - 10*r + 22. Let i be z(3). What is the highest common factor of 47 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2116, 1934, 1752, 1570, 1388, 1206?\n\"Answer: -182*a + 2298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 788 - 793. What is the nearest to 2 in 0, -0.07, d, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*c - 2 + 0*c)*(-6009*c**3 - 79916*c + 79916*c).\nAnswer: 12018*c**4 - 6009*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.57 + -0.37. Let v = k + -3. Which is the closest to 0? (a) -2 (b) v (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 47, -0.5, 0.0293, -4, 1, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -2\/9, 7, 1, -0.3, 2.48?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 13*b + 5*r, -2*b + 98*r + 22 = 94*r for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(297) - sqrt(297))*-1)\/sqrt(11))\/(sqrt(1296) - (sqrt(1296) - (sqrt(1296)*-2 - sqrt(1296))*-1)).\nAnswer: sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-24 - 5985\/(-252))*(-4)\/9. Factor i*g**3 + 2\/9*g**2 - 2\/3 - 5\/9*g.\nAnswer: (g - 2)*(g + 1)*(g + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1569742380 divided by -3\nAnswer: -523247460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/331 (b) -2\/5 (c) 1\/11 (d) -470\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4+0.3362\nAnswer: 4.3362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/216 and 65\/34381128?\nAnswer: 309430152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 13 - (2 + -1) - 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1550235609 to the nearest integer?\nAnswer: 39373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -3*t + 5, -3*t = 2*m + m - 21. Suppose t*j + 14 + 11 = 0. Which is smaller: -4 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*f - 5*f - 1137233 = 0, 6*a - 5*f - 3411679 = 0. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 20*v**2 + 15*v - 5. Give a(-19).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -578\/7 + 1941\/28. What is the common denominator of r and (291\/(-132))\/(2\/(-8)) + -4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25449.02 nanometers to millimeters.\nAnswer: 0.02544902","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2067.05777 rounded to the nearest 10?\nAnswer: -2070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 551 a factor of 6612481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqeeqqqeeeqq. What is prob of picking 2 q?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -63 + 13 + -50 + 73\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**3 - 29*l**2 - 86*l + 4. What is the remainder when 1041 is divided by s(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 2*f - 24, 2*x = -2*f + 7*x + 27. Suppose -4*p = -18 + f. Suppose p*l = -4*g + 5*l + 1990, 0 = -5*g - l + 2498. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 685.747nm to kilometers.\nAnswer: 0.000000000685747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49 + -48.8. Which is the nearest to t? (a) -1 (b) -5 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -23*t**2 + 676*t - 262. Determine k(29).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + (3 - (21 - 3)). Let c = 25 + b. Suppose -c = -4*m - 2*v + 81, 3*m = -4*v + 79. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -127 or 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3158965+1.9164\nAnswer: -3158963.0836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-one halves of a meter?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 2 + (76 - 5 - 132).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 at least as big as 17216?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15451580 to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-412)\/1030)\/(12\/10)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = -4*u + p, u = -u - 5*p - 47. Let d(q) = q**2 + 15*q - 7. Let m be d(u). Solve -10*g = -m*g - 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25816688 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 4 - l - 16 + 8 + 6. Let u(j) = j - 3. Let p be u(3). What are the prime factors of c(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 4:23 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*u**6 - 494*u**4 - 6*u**3 - 18*u**2 + 2*u + 18?\nAnswer: -240*u**3 - 11856*u - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7\/4 of a millennium?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2663*n**5 + 3*n - 127 wrt n.\nAnswer: -53260*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(275) + sqrt(275) + -1 + 0 + sqrt(275))*5)**2 + (3 + 1 + sqrt(275) + sqrt(275) + sqrt(275)*2 + -2)**2) + 5.\nAnswer: -66299 + 670*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 + -6.7. Let x = g - -6.6. Let r = 8.3 - 8. Which is the second biggest value? (a) r (b) x (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174699 a multiple of 423?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (1 - (25 + -16)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (4 + -1) - -4 - -5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -20166*m - 1703?\nAnswer: -20166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20519287.\nAnswer: 20519287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -5*h**7\/84 + 13*h**6\/60 + h**5\/40 - 17*h**4\/24 + h**3\/3 + h**2 + 7*h - 5. Suppose j(d) = 0. What is d?\nAnswer: -1, -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12 is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (28\/12)\/(-7) + (-3599999)\/3. Round t to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -981*x - 10268. Give v(-10).\nAnswer: -458","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -15 + 13*p + 11*p - 4*p**2 + 3*p**2. Suppose 0*u - 51 = -3*u. What are the prime factors of k(u)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*y = -3*d - 80, -3*d = 4*y + 622 - 642 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47868364?\nAnswer: 2, 11967091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 280729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, j: 5}. Give prob of picking 1 i and 2 j.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/39396 and 107\/420.\nAnswer: 196980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*m**3 + 2719*m**2 + m - 138577 wrt m?\nAnswer: -15*m**2 + 5438*m + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*v + 9. Suppose 82 = 6*a - v*a. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 + 4)*(3 - 2 + 2)*(6*w - 2*w + 11*w) to v*w + t and give v.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39706*j = 39710*j + 176 for j.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 958 and 8416988?\nAnswer: 958","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1865660 to the power of 1\/2, to the nearest integer?\nAnswer: 1366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 14*n**2 + 47*n + 391. What is the units digit of o(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1455\/4 + -13159\/36. Find the common denominator of 40\/1219 and m.\nAnswer: 10971","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1517 - 222. Let b be 80994\/l*4*(-2)\/(-112). Let n = -4\/5439 + b. Find the common denominator of -17\/9 and n.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 6 - 6 - g. Let t(l) = -2*l. Let y(f) = -4*t(f) + 9*x(f). Let b(q) = -2. Let v(c) = -c - 1. Let h(o) = -b(o) + 2*v(o). Determine h(y(z)).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 108 and 8?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c**3 + 15*c**2 + 13*c + 7. Give r(5).\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**3 + v**3 + 0*v**3 + 2*v**3 - 3*v**3 + 2*v**3 + (4 - v - 4)*(3*v**2 - 5*v**2 + v**2) + v**3 + 3 - 3 + 5*v**3 + 48*v**3 + 25*v**3.\nAnswer: 80*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -44 - -116?\nAnswer: b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*0.031605454\nAnswer: -0.0126421816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 180 + -179.65. Let h = s - 0.3499731. What is h rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -244, -151, 164, 707, 1484, 2501, 3764, 5279?\nAnswer: 7052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -51518.64 times 0.5\nAnswer: -25759.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n. Let w(l) be the third derivative of -21*l**5\/20 + 5*l**2. Determine y(w(g)).\nAnswer: 126*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -5*k**2\/2 - 2*k - 14. Give s(3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in 5599, 1945, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/3 - (0 - 3). Let a be m*(-7 + 1) + 1. Sort 4, 0, a.\nAnswer: a, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5004 is divided by 1000?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 0)*(1 - 1 + 2*a) + 2 + 0 + 4*a - 5*a.\nAnswer: -7*a + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7078 - 6630. Calculate the highest common divisor of 1008 and t.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 1)*(1 - 2 - 3)*(-403*m + 403*m - 1 - 7*m**2 - 4*m**3) + (9*m**2 + 5*m**2 - m**2)*(-m + 4*m - 2*m).\nAnswer: 45*m**3 + 56*m**2 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i*i**(-6)))\/i*i*i*i**(-2\/7))**49)**(-1\/23) assuming i is positive.\nAnswer: i**(-329\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/7)\/(c**(2\/31)\/c)*c**(3\/4)\/(c\/c**(-1\/6)))**(16\/5) assuming c is positive.\nAnswer: c**(3916\/3255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/5)*c*c)**(8\/3) assuming c is positive.\nAnswer: c**(64\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aqa when three letters picked without replacement from {a: 3, q: 17}.\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8647403 decades in centuries?\nAnswer: 0.08647403","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 11\/33 - (-2)\/(-6). Suppose 0 = -o - 2*b, i*b = 2*o - 3*b. Let q(j) = j - 4 + o*j + j - 3*j. Determine q(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -687059, -2748486, -6184199, -10994198, -17178483?\n\"Answer: -687143*i**2 + 2*i + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.15912 * -24\nAnswer: -3.81888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.27 + -2.06. Let u = o + -3.21. Which is smaller: -17 or u?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 7*c = -f + 16, -16 = 2*f - 4*c. Solve f*u + 10 = -10*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -204 + (-70 - -81 - -89)?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 6, -0.05, -0.04, -5, -0.5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 PM and 4:11 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 3*x + 9 = 0, -3 = -4*o + 5*x - 0. Find the third derivative of -l**4 + 2*l**o + 5*l**4 - l**4 wrt l.\nAnswer: 72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 140401 + -2?\nAnswer: 140366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/3)\/(4\/30). Suppose n = m*n - 20. Let q(v) = v**2 - 1 - 3 + 5 + v - n. Calculate q(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**3\/2 + 60*b**2 = 0. Calculate b.\nAnswer: -120, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y + 46. Let a(m) be the third derivative of 0*m + 0*m**3 + 87*m**2 + 1\/6*m**4 + 0. What is a(x(r))?\nAnswer: -4*r + 184","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -128, -266, -460?\nAnswer: -710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 34214040 (base 5) in base 7?\nAnswer: 2405041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and 3774.75535.\nAnswer: 3775.75535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 75155.85s?\nAnswer: 75155850000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4447406 to the power of 1\/3, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**2\/3 - 2182936*b - 6548810\/3 = 0.\nAnswer: -1, 3274405","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -167 (b) 4 (c) 2 (d) 0.4 (e) 2\/3 (f) 22\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 - 61*i**2 + 248*i**2 - 4 + 21*i**2 + 427*i**2 in the form c*i + u + p*i**2 and give p.\nAnswer: 635","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*d**2 + 460\/3*d - 1000\/3 - 5\/3*d**4 - 115\/3*d**3 = 0.\nAnswer: -25, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - 5*n - 2. Let f be j(-3). What are the prime factors of f + (1 - (-85)\/5)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -774 + -3?\nAnswer: -777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 23459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9249835 is divided by 420447.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*m**3 - 111*m**3 + 172*m**3.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 552300?\nAnswer: -552263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 226062, -5, -77 in ascending order.\nAnswer: -77, -5, -2, -1, 226062","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 2:42 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 318 and 90?\nAnswer: 4770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -60.48?\nAnswer: 61.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35487?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -74.7542 rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39161?\nAnswer: 39161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (720\/108)\/(10\/12)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 1, -4, -3, 168, -2, -22 in ascending order.\nAnswer: -22, -4, -3, -2, 1, 13, 168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k = -3*k - 25. Suppose -m = 3, 0*u - 4*u = -k*m - 23. Suppose -u = 2*s - 12. Solve -4*l + 12 = 4*n, 4*n = -s*l + n + 17 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i = -6*i - 56. Suppose 185 = -i*u - 249. Let q = u - -47. What is the greatest common divisor of 144 and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-666)\/(-185) - (4\/(-10) + 0). Solve 5*v - 1 + 6 = 5*j, -3 = -3*j - r*v for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 2 + 1 - -3. Suppose -d = -k - 0. Let t be k\/(-6)*(-42)\/4. Calculate the highest common factor of t and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 591 by 197.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -688 divided by -86?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24243 - 100022?\nAnswer: -124305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of -w**8\/1680 + w**5\/120 - w**3\/3 + 2*w. Let j(o) be the second derivative of p(o). Find the second derivative of j(t) wrt t.\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ozdzzkzzr. What is prob of sequence zrz?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + (-1 - (-2025)\/(-12)). Let y = -472\/3 - g. What is the common denominator of 3\/4*202\/(-24) and y?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 112181 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 6*h - 4. Let n(x) = -3*x + 19. Let p be n(-20). Let a = -77 + p. What is d(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.8 - -0.2. Let p = 0.76 - 1.4. Let y = 0.14 + p. Sort y, k, -1 in increasing order.\nAnswer: -1, y, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 104300 divided by 4172\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 5*r - 10 = 0, 2*r = r - 4 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cshhchtts. What is prob of sequence ccss?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2596*g - 2652*g + 343 - 7 = 0 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 11*u = 14154. Suppose 2*k = 226 + 684. Suppose -d - 4*d - u = 3*p, -k = d - 5*p. Round d to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**5\/r)\/r)**(-33)*r**(-1)*r**(-9\/4)*r assuming r is positive.\nAnswer: r**(-405\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54, 109, 164, 219, 274?\nAnswer: 329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/17 (b) 0.1 (c) -84 (d) 13.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -465, -688, -853, -960?\n\"Answer: 29*s**2 - 310*s - 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -6*u + u + 178, -3*d - 12 = 0. Suppose 4*a - 3*s + 6*s - u = 0, -58 = -5*a + 4*s. Calculate the least common multiple of a and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23156 and 257720491.\nAnswer: 1030881964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 693837 and 387.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3 + 183989*f**2 + 8467493960*f + 414465564100.\nAnswer: (f + 49)*(f + 91970)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -32\/11 (b) -3\/5 (c) 1.2238 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lq when two letters picked without replacement from gooqpsqlsssq.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l. Suppose h + 2*h - 6 = 0. Let r be i(h). Let w be 2\/5 - (-104)\/40. Solve -r*d - 4*k + 2 = 0, -4*k = -w*d - 2*d - 23 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -964*c**3 + c**2\/2 + 2687*c + 6866. What is the derivative of k(o) wrt o?\nAnswer: -5784*o + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -387*x - 2*x**4 - 24*x**3 + 25*x**3 - 2 - 70*x + 2*x**2 to i*x**3 + z + c*x + q*x**4 + k*x**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 835131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 62897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11.5 - 0.8. Let b = c - 12.7. Let s = -0.055 - -14.055. Are s and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppannaoafpnanpa. Give prob of sequence aa.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + j + 5*s = 25, -2*s + 27 = 5*j. Suppose -2*r - 3*r = 3*t - 748, j*t + r = 1232. List the prime factors of t.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/12)\/((-155)\/(-186)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p, 1 z, and 1 v when four letters picked without replacement from {z: 5, v: 1, p: 9, b: 1, r: 1}.\nAnswer: 9\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from icqyqcqq. Give prob of picking 3 q and 1 i.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1)\/((6\/82)\/(-3)) is divided by 21\/(-9)*-3*2?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 348\/(-7395)*10\/(-4).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3990348 by 199.\nAnswer: -20052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**2 - 627 + 6*u**3 + u - 634 + 1263 to the form v + h*u**2 + a*u**3 + j*u and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*d - 25482 = -81*d - 191*d for d.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/16 and 2*-3 - 20\/(-4032)*1084.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 0.2, 1694 in decreasing order.\nAnswer: 1694, 5, 2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -m**4\/6 + m**3\/3 - 9*m**2\/2 - 8*m. Let l(d) be the first derivative of v(d). Give l(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 53*y + 85. What is n(-3)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3*w - 10. Calculate the lowest common multiple of f(4) and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 95419, 95411, 95381, 95317, 95207, 95039, 94801?\n\"Answer: -2*y**3 + y**2 + 3*y + 95417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -71957 smaller than -71957?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 70*m**2 - 33*m - 5. Let t(u) = 70*u**2 - 40*u - 6. Let s(p) = 5*t(p) - 6*v(p). Calculate s(1).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/((-105)\/12)*2\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 108067532, 108067553, 108067578, 108067607?\nAnswer: 108067640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(-10))\/o)**3*((o**(-2\/65)*o)\/o)**(-4\/5))**(1\/16) assuming o is positive.\nAnswer: o**(-4871\/2600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 5.5. Let h be ((-6)\/4)\/((-3)\/47). Let m = h + -24. Which is the third biggest value? (a) d (b) 1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1116*j = -1079*j + 259 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 4*p - y + 5, -2*p = 2*y + 10 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lxlrflxflrll. Give prob of sequence rlx.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -84460 by -164.\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -574, -1\/4, -2, -0.02, 0.097?\nAnswer: 0.097","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + (34 - 43) + -12 + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*p**2 - 26*p - 3 + 6*p**2 + 26*p.\nAnswer: -20*p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**2\/2 - 14885*v\/2 - 22305.\nAnswer: -5*(v + 3)*(v + 2974)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-190)\/(-57)*(-18)\/4. Is g less than -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**2\/2 + 1050*i + 1428800 = 0. What is i?\nAnswer: -940, 3040","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uiij when four letters picked without replacement from {i: 5, u: 1, j: 3, a: 4}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -939000 rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -105*f - 9. Let l(d) = 2*d - 2. Let g(t) = -c(t) + 6*l(t). Let u(m) = -2*m**2. What is u(g(z))?\nAnswer: -27378*z**2 + 1404*z - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1)\/f**(-4) assuming f is positive.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 14230618 to the power of 1\/2, to the nearest integer?\nAnswer: 3772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 - -19. Let s be 2\/8*6 - g. Sort -2\/21, -0.1, -1, s in increasing order.\nAnswer: -1, -0.1, -2\/21, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 10:29 AM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -4, -48, 2\/15, 2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**5\/b)\/((b\/(b*b**(-4)))\/b))\/((b\/(b**3\/b)*b)\/(b\/((b\/(b\/b**(1\/2))*b*b)\/b))))**(-41) assuming b is positive.\nAnswer: b**(-41\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 90.10244cm?\nAnswer: 901.0244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -604233*b**2 - 32*b + 30051317?\nAnswer: -1208466*b - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 1. Suppose -639 = -16*m - 197*m. Which is the closest to z? (a) m (b) -3 (c) 10\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 32, -1, 1, -2, 1375?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23.4 + 22. Let t = 1.2 + k. Which is the nearest to t? (a) 1\/11 (b) 2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*w + 10*j = 11*j - 165, -5*w = -4*j - 25 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 160\/(-140)*39574\/3368\nAnswer: -94\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -205 + 116. Let i = l - -79. Is i not equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 9, -62, -2, -1, -3 in descending order.\nAnswer: 9, 4, -1, -2, -3, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000010000001 (base 2) to base 16.\nAnswer: -2081","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.9 + -4.9. Is f > -0.02?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 1. Let p = -7 - -12. Let j(v) = -v - 2*v**c + 3 + 4*v - p*v. Let t(f) = 3*f**2 + 3*f - 5. Determine 7*j(d) + 4*t(d).\nAnswer: -2*d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -6, -1 in decreasing order.\nAnswer: 21, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1989384 is divided by 663090.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 294589 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z**2 + 206864*z = 0. What is z?\nAnswer: -206864, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/5 - 1797624*a\/5 + 807863011344\/5.\nAnswer: (a - 898812)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + sqrt(171) + -1 + -2 - -2*(sqrt(171) + 2*sqrt(171)) - (sqrt(2299) + (-1*(sqrt(2299) + 1) - sqrt(2299)) + 4))**2.\nAnswer: -420*sqrt(19) + 23311","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 17*v**2 + 273*v - 3129. Calculate z(9).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**4 + 3699*r**3 - 22941*r**2 - 790395*r + 1642914 = 0. Calculate r.\nAnswer: -1239, -13, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in 5, -4, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 4*z = 7, -12 = 6*z - 9*z for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 600\/13 (b) -2\/11 (c) 3 (d) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -4*m**5 + 231620*m**4 - 4450949064*m**3 + 28001431361232*m**2 + 7371878873273568*m + 7343872990731648 = 0.\nAnswer: -252, -1, 19386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 1\/2, 0.4407?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u + 2*u**2 - 7*u + 6*u**2 + u - 2*u**2 + 3. Let v be k(1). Solve 5*l = v*g + 23 + 2, 5*l - 4*g - 20 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 738373 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(98) + 0 + sqrt(98) + -1)*4.\nAnswer: 56*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14898055 is divided by 60.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 4*h = -24. Calculate the lowest common multiple of 20 and h.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 1 (c) -0.21 (d) -2\/7 (e) 64 (f) -0.1 (g) -2\/151\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*x - 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.018*0.4.\nAnswer: 0.0072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(15\/4)\/(q\/((q\/((q**(-8)\/q*q*q)\/q)*q*q)\/q))*q**(-17)\/q**(-2) assuming q is positive.\nAnswer: q**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 22*q**2 + 5065*q - 150. What is l(83)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 2163072240?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -11*n**2 - n. Let u(y) = y**2 - 8*y - 10. Let o(j) = 3*j - 2. Let x be o(2). Let d be x\/(-16) - (-74)\/8. Let i be u(d). Determine b(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 155872?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*h**5 - 236*h**4 - 3112*h**3 + 10792*h**2 - 11284*h + 3844 = 0. Calculate h.\nAnswer: -31, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -13*y + 42. Determine l(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3032833 is divided by 118?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 94*a**2\/9 - 3576104*a\/3 - 228262\/9 = 0.\nAnswer: -1\/47, 114131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l - 2, 15 = 2*q - 55*l + 58*l for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/((-108)\/80))\/(((-2)\/(-36)*-9)\/3).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 286, 562, 824, 1066, 1282, 1466, 1612, 1714?\n\"Answer: -x**3 - x**2 + 286*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g - 82*g**2 - 2*g to y + x*g + b*g**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(88)*1 + sqrt(88))*2 - sqrt(88)) + (sqrt(88) - -6*sqrt(88)*2))\/((sqrt(64) - (sqrt(64) + (sqrt(64)*2 + sqrt(64))*-1))\/sqrt(288)).\nAnswer: 32*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 26*q**3 + 5*q**2 - 5*q - 5. Let p(f) = 25*f**3 + 6*f**2 - 6*f - 6. What is -5*p(i) + 6*w(i)?\nAnswer: 31*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g**2 + 1. Let s be l(1). Suppose f = -s*q - 2, 3*f = -q - 1 - 5. Does 2 divide (5 - q)\/1 + -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 126990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42938?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 95479, 95481, 95483, 95485, 95487, 95489?\nAnswer: 95491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-9)*71\/355*(-10)\/8?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i**3 - 47*i**2 - 37*i + 74. What is h(-23)?\nAnswer: 396","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 231.13493 + -0.03493. Round v to the nearest ten.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 5*k = -4734, q = 3*q + 5*k - 3156. Is 14 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/31)*t)\/t**(4\/17)*(t*t*t*t*t**7)\/t**(-6))**(1\/32) assuming t is positive.\nAnswer: t**(583\/1054)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 114005882 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -5*m**2 - 22*m - 7. Let c(i) = -6*i**2 - 24*i - 7. Let n(r) = 2*c(r) - 3*w(r). What is the remainder when n(-7) is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2 + 27*w - 17*w - 7. Let r(p) = -2*p**2. Give g(r(l)).\nAnswer: -20*l**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21 - -43)\/44*(-8)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7758881 a multiple of 1179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of 76291873968 and 24.\nAnswer: 76291873992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j - 3. What is the remainder when ((-4)\/14)\/((-7)\/98) is divided by s(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 4) in base 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6*(7 - (-41)\/(-6)). Which is bigger: r or 1\/1183?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 861 divided by 467?\nAnswer: 861\/467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/3*d**2 - 35378\/3 - 532\/3*d = 0. What is d?\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*z - 2*v - 8 = -41*z, 9 = 3*z - v for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -95, -168, -207, -200, -135?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - a + 1. Let y(r) = -5*r**2 + 5*r - 5. Suppose 11*q = -2*q - 39. Let f be (0 - 0 - -6)*q. What is f*k(o) - 4*y(o)?\nAnswer: 2*o**2 - 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -577, -580, -585, -592, -601, -612?\n\"Answer: -z**2 - 576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -199 + 198.265. Let s = t - -0.145. Round s to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 4, -55, -184, -407, -748, -1231?\nAnswer: -1880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/(-9) - 3)*66 - -11\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -22*u - 10. What is the remainder when 130 is divided by x(-2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 - 3*y - 1. Let w(v) = -v. Let x be (-14)\/(-4) - 1\/(-2). Let z = 1 + -1. Suppose 2*s + 2 = -z*s. Give s*d(l) + x*w(l).\nAnswer: l**2 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(605) + (sqrt(605) - (sqrt(605) - (2 + sqrt(605)))))*-2 + 2)**2 + (sqrt(605) - 1*-1*sqrt(605))**2*6*3.\nAnswer: 176*sqrt(5) + 53240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2863, -5732, -8601, -11470?\nAnswer: -14339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30449383 to the nearest integer?\nAnswer: 5518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 168868?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 64 by 278.\nAnswer: 32\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**3 + 18*x**2 - 6*x - 12. Let f(t) = t**3 + 19*t**2 - 7*t - 12. Let d(g) = 6*f(g) - 7*k(g). Let i(n) = -n**3 - n**2 + 1. Calculate d(l) - 12*i(l).\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63050.07 months to decades.\nAnswer: 525.41725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -331*l - 364*l + 698*l = 3*g, 9 = 5*g + 4*l for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -o**4 + 3146566*o**3*q**2 - 19663390*q**2 with respect to o.\nAnswer: -4*o**3 + 9439698*o**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 100870 to the nearest 1000.\nAnswer: 101000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1833205?\nAnswer: 5, 11, 33331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**3*p**7*p)**(-1\/68))**5 assuming p is positive.\nAnswer: p**(-15\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -122 + 84. Suppose -12*r + 1 = 277. Let t = r - u. Is 5 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 9*x**2 + 2*x**3 - 8 - 3*x**3 - x**2 - 4*x. Suppose 4*t - 1040 = -6*t. Let y = t - 97. Determine r(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 59 - 57 - (1 + 6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, 38, -8 in ascending order.\nAnswer: -8, 1, 5, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 38 = 48. Suppose -86 = -4*u + a*v, 114 = -6*u + 11*u - 3*v. Let t be 37\/3 + 2\/(-6). What is the highest common factor of u and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 5:06 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k*k*k*k\/(k**(3\/7)*k)*k)*k\/k**(-4\/3)*k*k)**(-41))**(-1\/6))**(-1\/11) assuming k is positive.\nAnswer: k**(-1517\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -5*u**3 + 35760*u**2 - 63974625*u + 127806250 = 0.\nAnswer: 2, 3575","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 376*i**3 - 12*i**2 + 2*i - 25330.\nAnswer: 1128*i**2 - 24*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15.12 - 13.5. Let p = o - -11.38. Which is the fourth biggest value? (a) -0.3 (b) 3 (c) p (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37668 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 53705210 and 19185?\nAnswer: 161115630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 87.5 + 8.5. Let w = -95.999963 + s. What is w rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y**2 - 4*y**3 + 105*y - 3 + 0*y**2 - 207*y + 101*y as x*y + i*y**2 + p*y**3 + c and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 18.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - (44 + -7) - (17 - 1) - 0?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 339 and 2710?\nAnswer: 918690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 643*n. Let i(m) = -5294*m**2. What is i(d(v))?\nAnswer: -2188799006*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3073b - -9?\nAnswer: -30732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 627647 or 627625?\nAnswer: 627647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 0*z + 3 = 5*m, m = 2*z - 6. Let c be 2\/(-8)*z - 69603\/(-4). Round c to the nearest one thousand.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -359754\/13 or -1\/3?\nAnswer: -359754\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 493 + -492.7. Does 1.2 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 8 = 4*g, 3*z = -6*g + g + 17. Let w be (4\/(-54)*30)\/(-2). Is w less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 0.02 (c) -30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187476186?\nAnswer: 2, 3, 89, 351079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 109731 divided by -1389\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -284*o**3 + 145*o**3 + 499 + 137*o**3 in the form y*o + j*o**2 + s + d*o**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 112*j**5 + 9522*j**4 + 222602*j**3 + 1370820*j**2 - 3676968*j - 66096 = 0.\nAnswer: -51, -18, -1\/56, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1012149673754 - -1567401665571. Let o = -555251992449.999999437 + r. Let v = -633 - o. What is v rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9858474 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -606, -667, -724, -777?\nAnswer: -826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**3 - 19*y**2 + 22*y - 22. Give h(9).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/9 - ((-784)\/36 - -6). Let a be -2 + 0\/(-1) - -4. What is the greatest common divisor of k and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 7*o - 8737 = 11*o, -o + 26198 = 3*x. Does 71 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 348 minus -0.06?\nAnswer: 348.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 3*o - 15402, 457*o - 461*o = -4*i - 20536. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -600457 = 194*m - 589593 for m.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/4)\/(5\/(-1670)). Differentiate 167*b - 4*b**2 + 1 - s*b wrt b.\nAnswer: -8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o**3 + 9*o**2 + 19*o - 70. Let u be f(5). Is -12\/161 at least u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**2 - 4*y**2 + 0*y**2 + (2 - 2 + 3)*(-6*y + 0*y - y)*(1 - 1 - 3*y) - y**2 - 5*y**2 + 4*y**2.\nAnswer: 59*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (30\/(-4))\/((-2 - -3) + -7). Suppose 3*i + j - 6 = -2*j, 2*j = -i + 7. Let f be i\/(-6)*1\/1. Which is the nearest to f? (a) -1 (b) v (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (70\/25 + -3)\/(-6 + 7\/1)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p + p**2 + p)*(3*p + 2*p - 3*p) + 29 - 29 - 4*p**3 to f*p**2 + r*p + q*p**3 + o and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -12 - 10*n**2 + 2*n**3 - n**3 - 95*n + 104*n - 18. Calculate the least common multiple of z(10) and 1.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wsu when three letters picked without replacement from {u: 1, s: 3, b: 1, w: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2\/5422862590791 - -11418886434709313150999\/65074351089492. Let g = i - 175531243. Let k = 56782 + g. Calculate the common denominator of 17\/20 and k.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 0 + (2*(sqrt(567) + 2) + sqrt(567) + sqrt(567) + -1 + -3)**2*1 + -2.\nAnswer: 9073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrqegrrqgogegqz. What is prob of sequence ogre?\nAnswer: 4\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1199.7 + 1145. Let v = 56.7 + g. What is the smallest value in 10, v, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -11172986*c. Let u(p) = 2*p**2. What is d(u(n))?\nAnswer: -22345972*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/2*-6*6\/162.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.6 - 0.4. Let g = d - -1. Let o be (6\/(-20))\/((-12)\/30). What is the nearest to -2\/7 in 3, o, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 99 + -63. Which is smaller: 35 or m?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 147072 and 160?\nAnswer: 735360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 97015931 to the nearest integer?\nAnswer: 459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 PM and 10:54 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*s + 25*w - 100 = 20*w, -3*s + w - 6 = 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 408497.\nAnswer: 408497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one eighths of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (3 + (2 - 3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 264 and 1100.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in -2\/7, 15803, 5, -12?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.35661 rounded to 2 dps?\nAnswer: 1.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 6\/10)*(-3006)\/668*5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 972410 + -540075. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-32)\/(-18) - 6\/(-27). Suppose o - w + 6*w = 10, -z*o - 3*w = -27. Find the third derivative of o*g**2 - 9*g**2 + 14*g**2 + 46*g**4 wrt g.\nAnswer: 1104*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14061 - -14061.5. Which is the third biggest value? (a) -3 (b) 3 (c) f (d) 33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 8 = -6*i. Suppose 2*t + 4*x = 6*t, -2*t + x - 2 = 0. What is the fourth smallest value in -0.04, t, -3\/5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*a + 17544 = 72489. What is the highest common factor of a and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -2.9. Let m = o + -0.1. Let h(z) = -10*z - 61. Let j be h(-6). Which is the smallest value? (a) m (b) j (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 2 + 2)*(178 - 147 + 455)*(0*n - 5*n + 2*n)*(-2 + 5 + 0).\nAnswer: -8748*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -384 times 73.134\nAnswer: -28083.456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 4*v = -2*v + 26, -3*v - 15 = 0. Solve 0 = 5*h - 19 + k for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11966*x + 6018*x - 2 + 6086*x.\nAnswer: 138*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 42 - (0\/3 + -1). Suppose 0 = -2*j - 11 + k. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 381 (b) -5 (c) 1.7 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**2 - 13*p + 452. Let h be n(12). What is the highest common divisor of h and 2192?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25*t**4 + 10621*t**3 + 147*t - 10621*t**3 wrt t.\nAnswer: -300*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7797049, -7797052, -7797055?\n\"Answer: -3*c - 7797046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -13 + (5 - (-2 + -6 + (28 - 21))) - -87\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2210001 (base 3) to base 14\nAnswer: -a4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 38*a + 180. Let y(j) = 871*j + 4134. What is 91*b(x) - 4*y(x)?\nAnswer: -26*x - 156","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(7\/3)*c)\/c)**(-3\/17)\/(c**7)**(18\/13) assuming c is positive.\nAnswer: c**(-2090\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56\/160 - (-9)\/(-15).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 341247 is divided by 4014?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.1 - 3.9. Which is the closest to 0.1? (a) -2\/5 (b) x (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2579 + 312*y - 145*y - 164*y + 514. Let p(w) = w**2. Determine g(p(z)).\nAnswer: 3*z**2 + 3093","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6226 divided by -566?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19052292 and 84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3*p - 4. Let d(f) = -6*f - 9. What is -4*d(h) + 9*y(h)?\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.053, -11808, -3?\nAnswer: 0.053","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d*j**3*p**3*q + d*j*p**2 - 492*j**3*p**3 + j**2*p**2 - 5*j**2*q - 33*j*p**3 wrt j?\nAnswer: 12*d*p**3*q - 2952*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53613?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 5*l = -231, -12*m = -13*m - l + 219. Let p = m + -121. 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 2589359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*5*(-1 + sqrt(108)) + (sqrt(27)\/(sqrt(27)\/sqrt(3)) + sqrt(3) + sqrt(12)\/sqrt(4) + -1)**2*4.\nAnswer: 36*sqrt(3) + 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -8*n + 3*d + 32, -3*d = 3*n. Suppose -n = -4*q - r, -2*r + 8 = 4*q + q. Let u(i) = i**3 + i**2 - i + 8. Does 4 divide u(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -254779911*k + 420083896?\nAnswer: -254779911","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1050524868.\nAnswer: 2, 3, 37, 827, 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -143, -141, -139, -137, -135, -133?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 7:28 PM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 272.77 - 280. What is a rounded to one dp?\nAnswer: -7.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -1 + 10*o + 16*o**2 + 12*o - 21*o. Let z(a) = -a**3 - a**2 + 3*a + 3. Let l be z(-2). List the prime factors of v(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 31 = 4*x, 965*x - 962*x + 4*k = 62. Suppose b - 631 = -10*a + 5*a, -16 = 4*b. Let l = a + -57. Calculate the greatest common divisor of l and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/9 or 17463\/43?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 58 - 31 = 0 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x + l + 28 - 26, 3*l - 2 = x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9.7 and -5.\nAnswer: -48.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4181\/20855 - -2\/4171. Let d = 0 + 2. What is the second smallest value in 2\/21, s, d, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + -2. Let y = 405 + -405.2. Which is the biggest value? (a) j (b) y (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - 63*y - 750. Let x be v(-47). Solve 0 = -3*z - 9, 3*l = x*z + 8 - 2 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -949, -2233, -4175, -7105, -11353, -17249?\nAnswer: -25123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 - -45. Suppose -3*z - 5*r = -0*z - 35, 0 = 2*z + 2*r - h. Sort -0.02, 4, z in descending order.\nAnswer: z, 4, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a meter in millimeters?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) 3\/4 (b) -22 (c) -2 (d) -2614\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44\/11*(-2)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 8 = l, -2*l - 3*l - 30 = -5*p. Is p*2 + (328 - 11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**21*(t**(-27)*t)\/t)\/(((t**14*t)\/t)\/t*t**(-27)\/t) assuming t is positive.\nAnswer: t**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4209, 8441, 12673?\nAnswer: 16905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(400)\/(sqrt(8)*2) - 4*sqrt(6050))\/(5*(-1*sqrt(250) - sqrt(250) - sqrt(250))*-1).\nAnswer: -29*sqrt(5)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 6070 to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -27, -39, -51, -63?\n\"Answer: -12*u - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p - 12*p = 6. Let c(m) = 11*m - 1. Calculate the remainder when c(p) is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dzkrrazkkkdhk. What is prob of sequence ad?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -129*l - 6. Let r(m) = -118*m - 5. What is -3*d(b) + 4*r(b)?\nAnswer: -85*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1306 + 1308. Let u(m) be the second derivative of 0*m**3 + 0*m**d + m + 0 + 1\/6*m**4. Let o(z) = -3*z**2. Give u(o(a)).\nAnswer: 18*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-6\/11))\/o*o*o\/(o**(-14)\/o))**(3\/16) assuming o is positive.\nAnswer: o**(579\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 4*f - 24, -3*x - f = -0 - 9. What are the prime factors of -1*(-1 + -1) + x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 6*c**3 - 727*c**2 + 147*c - 3110. Give u(121).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 114*a**2 - 30*a**2 + 492*a - 477*a as d + w*a + j*a**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -4. Let l(w) = -3*w**2 - 3*w**2 - 2*w**f + 4*w**2. Let k(q) = q**2. Calculate l(k(m)).\nAnswer: -4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 5. Let h be c\/3*(-9)\/(-6). List the prime factors of h + (0\/(-3))\/1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**2 + 0*x**2 + x**2 + (x - 4*x - 3*x)*(-11*x - 4*x - 2*x) + 0*x + 3*x - 2*x + 2*x**2 - x**2 - 5*x**2 + 2*x**2 + (5 - 4 - 3)*(5*x**2 + x**2 - 5*x**2).\nAnswer: 100*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.471 + -4642?\nAnswer: -4642.471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 738.0423ms?\nAnswer: 738042300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1601?\nAnswer: 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -376 + 386. Suppose -8*u + 3*p - 4 = -a*u, -2*u + 3*p = -4. Solve o = -5*n + 2*o, u*n = 3*o for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*t - 17*t + 64806. Is 4 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 {x: 5, p: 3, n: 3, v: 9}. What is prob of sequence nxvv?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d - 3*l + 3 = 6*d, 24 = -6*l for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (49\/196)\/(36\/32).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 15 = -2*f, 562*y + 2 = 552*y + 2*f for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 2*q. Let v be p(3). Solve -2*h + 5 = -v*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 8.664761t?\nAnswer: 8664.761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*x - x + 5*x)*(0*x**2 + 0*x**2 + 2*x**2)*(24*x - 13 + 13) as i + o*x**2 + h*x + a*x**3 + b*x**4 and give b.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27588?\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-2)*(1\/12)\/((-154)\/(-1848))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.16 + -0.76. What is the third smallest value in y, 0.0161, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from {n: 2, i: 5}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 1029 = -0*t - 4*t, -2*g = -2*t - 672. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-983082472)\/160 - 6\/(-4). Let r = c + 6159538. Let i = r + -15271. What is the common denominator of -23\/20 and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 271 - 271.0336. Let v = 2.9664 - o. Which is bigger: -1\/73 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 4*l - 0*l. Suppose 3*f - l - 5 = 0. Solve -2*m = f + 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.3 + 0.3. Which is the third biggest value? (a) -3 (b) 5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by 29?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (36\/(-8))\/(3\/(-20)). Let t be 5\/n + (-4)\/(-3). Put -3\/7, t, 2 in decreasing order.\nAnswer: 2, t, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -874219, -1748433, -2622643, -3496849?\nAnswer: -4371051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i - 15. Let m(j) = 21*j. Determine q(m(s)).\nAnswer: -21*s - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -7*h + 7. Let i(q) = 6*q - 6. Determine 4*i(a) + 3*o(a).\nAnswer: 3*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from feffsssss. What is prob of sequence sfe?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6971 - -6971.1. Let a = 13 - 9. Let v be a\/14 + (-6)\/315. Which is bigger: v or c?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2301.\nAnswer: 3, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of r**9\/12096 - r**7\/1680 + r**5\/480 + 4*r**3\/3 - 2. Let i(c) be the third derivative of q(c). Factor i(h).\nAnswer: h*(h - 1)**2*(h + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -41 + (-62)\/(44 - -18).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*m + 30*m + 18*m + 49*m - 127*m + 32*m.\nAnswer: 36*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.32 - 2.26. What is the closest to 1 in n, 1\/7, 4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/20 and 9\/2560.\nAnswer: 2560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of b**4\/66 + 5*b**3\/11 + 47*b. Let i(n) = 0. What is n?\nAnswer: -15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of 2*y**3\/27 + 2144*y**2\/9 + 2298368*y\/9 - 748. Factor w(b).\nAnswer: 2*(b + 1072)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c**2 - 8949 + 3*c**2 + 17872 - 8923.\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -16*i**3\/3 - 2*i + 16. Find the first derivative of t(l) wrt l.\nAnswer: -32*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4284\/66)\/6 - ((15 - 4) + 0)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15166?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4118895613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2012102 (base 3) in base 9?\nAnswer: 2172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 1\/10933?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1\/(v**(2\/5)*v)*(v**(1\/7)\/v)**(8\/11))**(-4) assuming v is positive.\nAnswer: v**(1576\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 15 = t, -3*s + 6*s + 9 = t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -636084.82 + 636146.819934. Let i = 152 - 90. Let n = c - i. Round n to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 122125 and 122125 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 1)*(-c - 1 + 1)*(5 - 5 + 2*c**2)*(33425 - 722*c - 33425).\nAnswer: -2888*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 488263 is divided by 61032.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*p - 12*p + 1 - p + 27*p**2.\nAnswer: 27*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26347 is divided by 2803.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 2\/21 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 - 0\/(-2) - -4. Let o be 0 - (j + 3 + -4). Suppose 40 = 6*w + 2*w. Which is the nearest to o? (a) -0.5 (b) 2\/9 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17262 is divided by 166?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47729?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45 - -18) + 40 + -23.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39*b + 19*b + 22*b + 17)*(-108*b + 152*b + 215*b).\nAnswer: 518*b**2 + 4403*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 7, -435, 1, -6?\nAnswer: -435","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22143029 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -1, 1, -18, 3, -26 in decreasing order.\nAnswer: 3, 1, -1, -12, -18, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(-1\/4)*n)\/n)**(-31))**(-27) assuming n is positive.\nAnswer: n**(2511\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of 191*i**4\/12 + 31*i**3\/6 + 119*i - 164. Let x(s) be the first derivative of t(s). Find the second derivative of x(b) wrt b.\nAnswer: 382","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38 - 2) + -102 + -8 - -26?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8489*j*q - 13457486*j - 114*q with respect to q.\nAnswer: -8489*j - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -287*b + 15*b**3 + 3368*b**2 + 14*b**3 + 287*b - 30*b**3.\nAnswer: -b**3 + 3368*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 104*k - 63. Suppose 0*s = 14*s - 42. What is the hundreds digit of q(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -111101001111010101110001?\nAnswer: -111101001111010101110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 810 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: What is -2 + -9 + 8 - -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (0 - -1 - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -369*s**3 + 229*s**3 - 1004 + 504*s**2 + 498*s + 142*s**3.\nAnswer: 2*(s - 1)*(s + 2)*(s + 251)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 179 + y - 546 - 398 - 342 in the form q*y + i and give i.\nAnswer: -1107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m + 2. Let j be g(0). Suppose -j*s = 3*s. Let b(p) = p + 9. List the prime factors of b(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 12*x**2 + 3*x - 10. What is the tens digit of f(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202083853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 - 49*l - 272. Let i be y(-41). Suppose -74 - 12 = -3*t + j, -10 = 5*j. What is the greatest common factor of t and i?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2402031 divided by -4\nAnswer: -2402031\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 87, 8, 116, -5 in increasing order.\nAnswer: -5, 8, 87, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -6) + 1 + -1 + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 71\/2 - 175\/6. Find the common denominator of c and -7 + ((-4495)\/30)\/31.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*v**3 + 2*v**2 + 16814752*v + 440892110?\nAnswer: -21*v**2 + 4*v + 16814752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of 3*h**5\/20 + h**4\/3 + 4*h**3\/3 - h**2 + 232*h. What is the second derivative of n(l) wrt l?\nAnswer: 18*l + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/4 (b) 1\/30 (c) -37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-54)\/(-120))\/(24\/(-20))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3466419 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -644313 divided by 1\nAnswer: -644313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1741, -3547, -5353, -7159?\n\"Answer: -1806*t + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 105*y - 56*y + 5.\nAnswer: -161*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 2*d**2 - 5*d - 2. Let b be f(-3). Let t(y) = 0*y**2 + 2*y**2 - 3*y**2 - b + 8*y. Let n(k) = 12*k**2 + 2*k - 3. Let u be n(-1). Determine t(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2*sqrt(3) + -4))**2.\nAnswer: -576*sqrt(3) + 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 3*f + 23, -4*j + 26 = -6*f + 4*f. Which is smaller: 9 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -923, -461, 783, 3199, 7177, 13107, 21379, 32383?\nAnswer: 46509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f + 5*f + 77194007*f**2 - f.\nAnswer: 77194007*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -99*p**5 - 2*p - 94*p**5 + 181*p**5 - 2*p**4 + (11*p + 7 - 7)*(1 - 1 + 2*p**2)*(-5*p**2 + 2*p**2 + 4*p**2).\nAnswer: 10*p**5 - 2*p**4 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3255307.\nAnswer: 11, 295937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (-94 + 46)) + -39.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 5 - 2)*(1 - 4 + 2)*(-2*c + 4 - 4) - 4 + 3*c + 4 + (0 - 3 + 1)*(2 - c - 2) + 18*c + 88*c - 161*c - 58 + 58 - 5*c in the form s*c + z and give s.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l + 4. Let j(t) = t + 9. Let c(o) = 2*o + 10. Let x(h) = -2*c(h) + 3*j(h). Suppose 9 = 3*k - 2*m, 4*k - 9 - 3 = 4*m. Let v be x(k). Calculate w(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8862.7 + -8863. What is the third biggest value in 789, 6, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 636 = 2*s - 0*s. Suppose -4*i - 18 + s = 0. Does 25 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.04 + 1.04. What is the biggest value in 1\/3, t, 0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 449 + 0*b - 901 - 9*b**2 - 2*b + 0*b + 435 to n*b**2 + g*b + d and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 210 + -200. Let i(d) = -y*d - 10*d + 27*d - 6*d. Let c(h) = -8*h. Determine 3*c(r) + 20*i(r).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -1169*u + 10249. Calculate f(9).\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 3:51 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1300)*6 - (-2 + 1*(sqrt(13) + sqrt(39)\/sqrt(3))))**2.\nAnswer: 472*sqrt(13) + 181016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 4:13 PM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 903 and 6?\nAnswer: 1806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -77910782*k**2 + 69014459*k?\nAnswer: -155821564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + -5 + 3 + 6. Suppose f + 19 = v, -f = -y*v - 17 + 80. Differentiate 6 - 1 + v*r**4 + 14 + 7 wrt r.\nAnswer: 88*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67849 is divided by 1377.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) 0.028 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 624911 + -624905. Let k = 0 - -0.2. Which is the nearest to p? (a) -3\/5 (b) k (c) 1\/8 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -655 or 78\/19?\nAnswer: 78\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((33\/(-39))\/(308\/(-56)))\/(2\/182).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 + -630?\nAnswer: -643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 322873489 to the power of 1\/2, to the nearest integer?\nAnswer: 17969","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 246 or 238?\nAnswer: 238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3738 + -5?\nAnswer: 3733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8739 and -94365303.\nAnswer: -94374042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1412699 + -36?\nAnswer: -1412735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2773, 11016, 24771, 44050, 68865, 99228?\n\"Answer: 2*x**3 + 2744*x**2 - 3*x + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m - m - 10480*m**2 + 11426*m**2 - 944*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 172cc2 + -4?\nAnswer: 172cbd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + -10 + 4 + -19.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 22*s**2 + 7*s. Let p(i) = -7*i**2 - 2*i. Let h(v) = 7*p(v) + 2*t(v). Let b = -2 - 2. Let n(y) = -2*y**2. Determine b*h(a) + 11*n(a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130*o - 70037 - 88043 = 0. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -88 by 35.\nAnswer: -88\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -7*x**2 - 5*x + 4. Let a(r) = -13*r**2 - 9*r + 11. Give 4*a(k) - 7*f(k).\nAnswer: -3*k**2 - k + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-99 - 3) + -2 + (-42 + (9 - -68) - 25).\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 20*s**2 + 29*s - 23. Let j be f(24). Suppose -2234 = -9*n + j. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -349632, -699265, -1048898?\nAnswer: -1398531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22587146 and 246.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 87907360?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*h**2 + 16 - h + 2*h**3 - 15 - h to the form q + s*h**3 + c*h**2 + z*h and give c.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - -7. Let l = 13 - c. Suppose l*q = q. Put q, 4, -3 in increasing order.\nAnswer: -3, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 19*d + 461. Let n be r(-14). Which is smaller: -55\/32 or n?\nAnswer: -55\/32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 325522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 22\/(-4) + 4\/(-8). Let q(r) = r**3 + 5*r**2 + 5*r + 3. Let m be q(-4). What is the common denominator of -40\/9 and n*-2*m\/14?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.37 or -5369?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/31647 (b) 2 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -2*-6*(-4*-2*sqrt(1088) + -3 + (sqrt(1088)*2 - sqrt(1088)))**2*-2.\nAnswer: -2115290 + 10368*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23612.\nAnswer: 2, 5903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 352 and 14784.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39\/48977 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 10500, 0, 5, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 2820?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.33 times -538812\nAnswer: 177807.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3326, 259, -3 in ascending order.\nAnswer: -3326, -3, 259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 + f - 1. Let r be (-653)\/(-5) + 4\/10. Let l = r - 127. Let d(u) = -7*u**2 + 7*u + 14. Let b(h) = l*y(h) - d(h). Let b(j) = 0. What is j?\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7700\/2695*(-14)\/(-20). Solve -6 + 12 = c*k, 3*k = -j + 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g**2. Let v(w) = 19*w**2 + 7*w - 7. Let y(c) = -2*c - c**2 + 7*c**2 + 4*c - 2. Let l(i) = -2*v(i) + 7*y(i). Determine l(t(q)).\nAnswer: 16*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 7*d**2 + d - 4. Let l be v(7). Let u = -78 - -83. Solve 1 = n - 5*g - 6, -4*n - l*g = -u for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -729 = 4*q + q - p, -q = 3*p + 133. Is 2 a factor of (5\/(-2))\/1*754\/q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 1 - 2 - 6*b - 5 + 2. What is the remainder when g(-5) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3.5, -0.4, -4, -10?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 67409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 34908945.\nAnswer: 2\/11636315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0253 + 0.0351. What is x rounded to 3 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31011 (base 5) to base 9.\nAnswer: -2668","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (-51 + 54 - (0 - (1 - 2)))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -7, 4, -2 in decreasing order.\nAnswer: 4, 3, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*q - 1716 + 358 = 0 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5879*l**5*x + 10*l**4*x**2 - 432*l*x**2 - 157*l*x wrt l.\nAnswer: -117580*l**3*x + 120*l**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*n**4 - 8445*n**2 + 8429*n**2 - 46*n + 42*n**4 to the form k*n**4 + i*n + q*n**3 + z + w*n**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 6*c + 3. What is r(-4)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -145 + 148. Solve 2*q - 4*m = -8, -4*q = b*m - 0*m - 6 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 804 divided by -67.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**2 + 14*y + 5. Let u be r(-7). Suppose 3*d - 2*k = -6, -4*d - u*k + 22 = 53. Is (-6)\/d*(0 - (-14)\/3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -1416801*t**2 + 255*t - 1250. Let f be n(5). What is f rounded to the nearest one million?\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31095680 divided by -141344.\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 3, 10, 104, -216 in ascending order.\nAnswer: -216, -15, 3, 10, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(-9\/2)*z**(-2\/13)*((z\/z**(-8))\/z)\/(z*z**(3\/2)) assuming z is positive.\nAnswer: z**(24\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1321324241 - -11?\nAnswer: -1321324230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 656, -413, -3, -2, 7 in decreasing order.\nAnswer: 656, 7, 1, -2, -3, -413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.26 in 5, -0.2, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 18036, 34853, 51670?\n\"Answer: 16817*a + 1219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1684 - 765 = 4*f - 3*j, -j - 2437 = 4*f. Let b = -613 - f. Let u = 1.6 + 0.4. What is the second smallest value in 4, 0, u, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 366079212 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19.9899 - 0.0101. Which is the biggest value? (a) -2\/17 (b) 0.04 (c) -0.1 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2540, -19855, -37174, -54497, -71824, -89155, -106490?\n\"Answer: -2*c**2 - 17309*c + 14771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ldxnxxjxjsdsddjsj. Give prob of sequence ss.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3 - 17 = -4*l, -5*x + 19 = 3*l. Suppose q + 5 = -2*p, 3*q - 5*p - 26 = 14. Let o(k) = 4*k - 3*k - q + 1. Give o(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 302*h + 1956 = -434*h - 205 - 2255 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005035706 to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Is 704468157 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -363, 2 in decreasing order.\nAnswer: 2, -4, -363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 350533164 a multiple of 4054?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2562 rounded to the nearest one hundred?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1706, 6810, 15316, 27224, 42534?\nAnswer: 61246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 20 = -5*v, 4*v = 4*s - 6 - 10 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, -3, 4 in increasing order.\nAnswer: -3, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 957093, 1914787, 2872481, 3830175?\n\"Answer: 957694*w - 601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -23*q - 3*q**4 + 9*q**4 - 4*q**4 - 4*q**4. Let g(t) = t**4 + 22*t. Let f(u) = 6*g(u) + 5*j(u). What is the second derivative of f(y) wrt y?\nAnswer: -48*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of b**2 - 2*b - 1. Let m be y(6). Solve -3*p - 22 = -m for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5334716.\nAnswer: 2, 1333679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 348056 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -174*m - 465*m**5 + 174*m + (2*m**3 + 0*m + 0*m)*(-5*m + 2*m**2 + 5*m) + 2*m**3 + 2*m**5 - 2*m**3 + (-m**3 + 2*m**3 + m**3)*(0*m**2 + 0*m**2 - m**2).\nAnswer: -461*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 850*a**2 + 801*a**2 - 1 + 1 - 1649*a**2.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 17 + -72 + (-4 + 5 + -4 - -11)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(288))**2*5.\nAnswer: 1440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -260 - -264. Differentiate 231 - 226 + 17*n**4 - 73*n**a with respect to n.\nAnswer: -224*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -7*g**2 + 17*g - 6. Let q be y(2). Solve 4*l + 5*r - 45 = q, -3*r + 25 = l + 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -d**5\/20 + d**4\/6 - d**3\/6 + 5*d**2\/2 + 2*d + 49. Let k be r(0). Suppose 4*f - 2*f = 36. Solve k*u - 8 = -f for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8\/151 in -2, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of p**2\/2 + 3*p + 208. Calculate m(12).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/8*(-3)\/(-30)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16551411*s**2 + 12382196.\nAnswer: 33102822*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/21*7\/1. Suppose 0 = -7*m + 4*m + 12. Suppose -4*i + 33 = -j, -5*i + m*j + 16 + 28 = 0. Solve -i = k*u - 4*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -600083, -599570, -599057?\n\"Answer: 513*h - 600596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + x - x)*(-3*x**2 - 11*x + 11*x) + (3*x + 3*x - 5*x)*(-2*x**2 + 2*x**2 - 2*x**2).\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1647 <= -1708?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, 17, 71, 177, 353, 617?\nAnswer: 987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, 27\/11, 127 in descending order.\nAnswer: 127, 27\/11, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 120132 to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32 - -1. Let r = -4.75 - -5.75. What is the third biggest value in r, m, -0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -36*d**2. Let v(h) = 3*h**2. Calculate v(o(z)).\nAnswer: 3888*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/(-10)*(-26360)\/4613.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n + 13. Suppose 5*s - v = 37, -4*s + 5*v + 18 = -20. What is y(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 60048*a**5 + 7*a**2 - 6*a**6 + 3*a**4 - 60048*a**5 wrt a.\nAnswer: -720*a**3 + 72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 5*z - 27 = 0, 0*z + 1 = -4*y - 5*z. Put 0.3, 4.1, y in descending order.\nAnswer: 4.1, 0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6055 - 6055.0002463. What is f rounded to five dps?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-6)\/10*-1.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -162786 and -162813 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 11892*-3.051\nAnswer: -36282.492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1017 and 113?\nAnswer: 1017","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*w + 25*w + 51 = 0. Let t = w - 24. Suppose -i - t = -120. Is 20 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 276536231 to the nearest integer?\nAnswer: 16629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -677.\nAnswer: -135.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1019, 1228, 1427, 1610, 1771?\nAnswer: 1904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6*(-8)\/((-128)\/72). Solve 22*p - b = 13*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3 + 67752*o**2 - 357786135*o - 283763972814.\nAnswer: -3*(o - 11641)**2*(o + 698)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*z + 70*z - 73*z + 1043 = 0 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 156220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 11:59 AM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + 59\/(-11) + 2. Which is the biggest value? (a) h (b) 1\/2 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/(-4))\/(18\/204). Suppose 2*j + 18 = 3*i, -5*i - 5*j + t = -4*j. Is i less than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15*5\/(-30))\/((-5)\/8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -x + 8. Suppose -a + 4*l + 57 = x*a, l - 54 = -4*a. Calculate the remainder when a is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -408*m - 531. Let o be b(5). Round o to the nearest 100.\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 327*s - 20245 - 2099 - 7413 = 0. Which is the smallest value? (a) -6 (b) -0.4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 216213 to the nearest integer?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 431 + -228. Let t = 390 - z. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3*a**2 - 11*a + 31. What is the tens digit of k(18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 2)*(-k - 3*k + 2*k) - 4*k + 6*k - k - 2*k + 1 - 1 + 90*k - 91*k + 50 - 1.\nAnswer: -4*k + 49","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 - 1)*(5*w - 2*w - w)*(0*w - 3*w + 2*w) - 62*w**2 + 116*w**2 + 126*w**2.\nAnswer: 188*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 8*j**2 + 10*j + 12. Let q be g(-9). Suppose -11 = q*k + 22. Let s = k - 5. Is s bigger than -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 315 = 7*h - 2*h, 15 = -5*d. Suppose -4*a - 37 - 47 = 2*p, -3*a = 3*p + h. Is 18 a factor of 9\/((-1)\/a*4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -69015.06 rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 84 + 16. Let l be (30\/k)\/((-2)\/5). Suppose -4*p - 2*t + 312 = 0, -l*p = -2*p + t - 79. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 0.2 (b) 57\/2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45986, -45982, -45968, -45938, -45886, -45806, -45692, -45538?\nAnswer: -45338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56911 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-7)*(j*j*j*j\/(j**(-1\/7)*j*j))\/j)**48)**27 assuming j is positive.\nAnswer: j**(-53136\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -25103, -25172, -25283, -25436, -25631, -25868?\n\"Answer: -21*f**2 - 6*f - 25076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven quarters of a litre in millilitres?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*x + 481 - 49. Let k = x + 78. Calculate the least common multiple of 6 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*w + 5. Let u be (4\/(-9))\/(38\/(-171)). Sort w, u, 8.\nAnswer: w, u, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 447.92 - 607.2. Let c = d + 155. Let x = -5.3 - c. What is x rounded to 1 dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1355 or 1358?\nAnswer: 1358","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 684190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17936 and 36?\nAnswer: 161424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)\/(-1*sqrt(5)) + 2*sqrt(5)*-5)**2*3.\nAnswer: 1815","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-6*sqrt(7)*2 + 1)*-4)**2.\nAnswer: -576*sqrt(7) + 16164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2051.78 + 2100. Let w = a - 51. Round w to one decimal place.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 143612 or 143609?\nAnswer: 143609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k\/k**3)**(-38)\/(k**(6\/7)*k**12))**(-1))**44 assuming k is positive.\nAnswer: k**(-7744\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.119 or -1111?\nAnswer: 0.119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 28*m**3 - 5*m**2 + 7*m. What are the prime factors of y(2)?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 31*k - 1108. Calculate s(39).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of -d**4\/4 + d**3\/2 - 11*d**2 + 2. Let t be (2 - 8)\/6*1. Calculate i(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 10625323.853 and 49.\nAnswer: 10625372.853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 2*d = -2, -95*q = -98*q + 4*d - 2. Let z be 40\/18 + (-6)\/27. What is the third derivative of -10*m**3 - q*m**z - m**3 - m**2 - 4*m**2 wrt m?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 12:41 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*d + 0*d**3 + 5*d - 5*d**3)*(-9*d - 32*d + 2*d)*(0 - 1 + 2) in the form i*d**2 + k*d**4 + c*d + y*d**3 + u and give k.\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -206109, -206121, -206155, -206223, -206337, -206509?\n\"Answer: -2*v**3 + v**2 - v - 206107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78782 divided by 39391.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 4, -7488.51?\nAnswer: -7488.51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 63?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*h - 4 + 4 + h + 0*h - 3*h + 0*h + h + 0*h + (3 - 1 + 2)*(-h - 4 + 4) + 5 + h - 5 + (0*h + 3*h - 4*h)*(157 + 53 + 17) as b*h + o and give b.\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124521 is divided by 58?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.3698408 minus 4004?\nAnswer: -4009.3698408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -18136, -68434, -152268, -269638, -420544, -604986?\n\"Answer: -16768*m**2 + 6*m - 1374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 469827068?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/25 of a gram in milligrams?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4 + (sqrt(833) - (sqrt(833) + (sqrt(833) - (sqrt(833)*4 + -4))))**2).\nAnswer: -168*sqrt(17) + 7517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -331928*p + 331521*p = -8954 for p.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8965?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5433, -10847, -16259, -21669, -27077, -32483, -37887?\nAnswer: -43289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -19*d + 24. Let t(g) = g + 1. Determine -l(w) - 2*t(w).\nAnswer: 17*w - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/1)\/(((-14)\/20)\/(14*(-105)\/70))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 474.7465 centimeters in millimeters?\nAnswer: 4747.465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 16*l - 156. Determine p(23).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 3:31 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 1 = a, 8*a + 1064*x - 1077*x = 4*a - 9 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -27, -11, 21, 75, 157?\n\"Answer: c**3 + 2*c**2 + 3*c - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, f: 4, s: 10, z: 4}. What is prob of picking 3 z and 1 s?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*h**4 - 10*h**2 - 6*h + 3778?\nAnswer: 24*h**3 - 20*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -5*b**3 - 6*b**2 + 6*b + 8. Let r(c) be the first derivative of c**4\/4 + c**3\/3 - c**2\/2 - c - 12. Calculate i(y) + 6*r(y).\nAnswer: y**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -32*g**2. Let h = -459 - -1214. Let a(r) = h*r + 755*r - 1511*r. Determine c(a(k)).\nAnswer: -32*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.55043 to 0 decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 72 = 2*q, 5*m + 218*q = 212*q + 93 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 14, -18.9, -2\/11, -3865?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-1) - (-42)\/7. Suppose -3*r + 9 = -0*r. What is the third derivative of -4*m**g - r*m**2 - m**2 + 6*m**5 wrt m?\nAnswer: 360*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 423873.\nAnswer: 3, 5233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 34477976?\nAnswer: -34477974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8.5 + 5.8. Let k = -3\/895 - -361\/895. Sort 3\/4, 4, k, c.\nAnswer: c, k, 3\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 739*m**2 + 856*m**2 - 1574*m**2.\nAnswer: 21*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4*(9 + -2 + 1). Let y be i\/12*-3 - -1. Suppose -4*u = -u - 27. Calculate the highest common divisor of u and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vfviiil. What is prob of sequence iv?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2557 - -155?\nAnswer: 2723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/9)\/((-2)\/(-12)). Let n = 56\/3 + -18. Let l = -1 + 1. Which is the closest to l? (a) n (b) z (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3258?\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -26*a + 144. What is j(8)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.001*-9.1\nAnswer: -0.0091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (-14)\/(-21)*170*3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/3 + (-12)\/(-24). Let u = -0.03 - -8.03. Let h = u + -12. Which is the nearest to -1? (a) h (b) 4\/5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + b + 2. Suppose 0*g + 1 = -g, -1 = 3*q + g. Let w be o(q). Factor 0*h**w + h**3 + h + 4*h**2 - 2*h**2.\nAnswer: h*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - 462a?\nAnswer: -4627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -2*m + 25. Suppose -4*g + 2*g + 4*a + 30 = 0, -5*a = -2*g + 35. Suppose 85 = m*s + 5*l, -g + 0 = -l. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -32, -58, -104, -176, -280, -422, -608?\nAnswer: -844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-190)\/(-152) + (-111)\/(-4). Solve 4*c - 49 = -l for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 203, -5, 0.81 in decreasing order.\nAnswer: 203, 0.81, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3378\/14638 - (-108)\/39. Solve 2\/9*c**5 + 14\/3*c + 20\/9*c**2 + 2 - 2\/3*c**4 - 4\/3*c**y = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2648 to 2 dps.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 162527463 to the nearest integer?\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*w - 61 = 43. Calculate the lowest common multiple of 10\/5*-8*(-10)\/w and 44.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -13*g**2. Let z(p) be the first derivative of 5*p**2 - 96. Calculate h(z(i)).\nAnswer: -1300*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -9. Let m = 12 - 32. Let q = -14 - m. Calculate the smallest common multiple of q and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1327440 by 2.\nAnswer: 663720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 6852\/11, 2, 0.4, -2\/9, 0?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 5:01 AM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120\/36 + -1*3.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -87 + (50 - -22) + -33?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9506 and -4.9.\nAnswer: -46579.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 37, 52, 77, 118, 181, 272, 397?\n\"Answer: g**3 - g**2 + 11*g + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, q: 2, d: 4, u: 2, p: 5}. Give prob of sequence udd.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/((y*y**(6\/7)\/y*y)\/y))*(y**3*y)\/y)**37\/((y**(2\/7)\/y*y)**(6\/5)\/((y**4\/y)\/(y*y**6\/y))) assuming y is positive.\nAnswer: y**(4878\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10408725 and 146878675?\nAnswer: 1321908075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 + 98. Let n be u(0). Let t = n + -62. Let b be (-1)\/(-6) + 102\/t. What is the closest to -1\/3 in -0.2, b, 2\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d - 3*d + 13*d.\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 110 + -77. Does 11 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -3*c**4\/7 - 44328*c**3\/7 - 21071016*c**2\/7 - 3387995424*c\/7 - 182263005360\/7 = 0.\nAnswer: -14290, -162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 4*u + 34. Suppose 0 = 3*q - h - u, -4*q + h + 1 = 4*h. Suppose 2*t - 2*l = -5*l + 39, 5*t - 87 = -q*l. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 8191*p + 1059. Is a(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3533.4 to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by 6135730.\nAnswer: 1\/613573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(26) + sqrt(104)\/sqrt(4) - sqrt(26))*2)\/((1*sqrt(8))\/sqrt(4)))**2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -58*l + 122. Let a be z(2). Let d be (1 + 2)*(-2)\/(-3). Let 7*q**3 + 4*q**2 - 10 - d*q**5 + 118*q - 136*q + 13*q**3 + a*q**4 = 0. What is q?\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7447*t + 7421*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -11. Suppose t = -s*t + 8. Is 2 not equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 11:34 AM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57 + -48. Suppose -2*d - 2 = 3*h - 9, 5*h + 4*d = y. Let w = 230 + -230. Solve h*m - 1 - 4 = w for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3188 is divided by 57?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15424655 (base 8) to base 15.\nAnswer: -4a1b0d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/11 in -11, -0.11, 25?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3400 and 4675.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3*v - 9 = 0, w + 0*v = -2*v - 1. Suppose -a + w = -15. Let r = 381 + -201. What is the greatest common divisor of a and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/4, 0, 606488, 3, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 21 - 74. Let o = -50 - -74. Calculate the remainder when k is divided by o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 4*p - 6 = 0, 0 = 5*l - 2*p - 0*p - 10. Let o be 1 + -1*(0 - l). Let i = -2 + 11. Solve 0*x + o*x = i for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 75978?\nAnswer: -75976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1012011 (base 3) to base 8\nAnswer: 1544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 9*a**2 - 8*a. Let b(o) = -7*o**2 - 5*o. Let x(h) = -275*h**2 - 200*h. Let i(q) = 120*b(q) - 3*x(q). Calculate n(i(l)).\nAnswer: 2025*l**4 + 120*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 112 - 111. Let k be 9\/9*(-6)\/r. Let n(i) = -3*i - 3. What is n(k)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + 1 - (55 - 81).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 17 = -0*z - 3*u, -4*u = 2*z - 12. What is the lowest common multiple of 4 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 3*v + 1 = 0, -19*v - 21 = 5*r - 20*v for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*h**3 - 24*h**3 + 51*h**3 + 381 - 16*h**3 + 54.\nAnswer: -5*h**3 + 435","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -123.494454246 plus -702.1?\nAnswer: -825.594454246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/885 and 24\/2065.\nAnswer: 6195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 270 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21378867 is divided by 56?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(343))**2 + (sqrt(14)*-1 - sqrt(14))\/sqrt(2).\nAnswer: -2*sqrt(7) + 3087","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/10)\/((-18)\/(-90))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-55)\/(-165))\/(1\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.028805 to 3 decimal places.\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fvn when three letters picked without replacement from {p: 1, c: 1, f: 1, v: 1, n: 1, s: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) 5 (c) 2\/5 (d) 8 (e) -5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express k**3 + 715*k**2 - 359*k**2 - 3*k**4 - 357*k**2 + 26*k in the form g*k**2 + i*k + o*k**4 + q*k**3 + z and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32 - -36. What is the remainder when 13 is divided by f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8088072 divided by -6.\nAnswer: 1348012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10098505 less than or equal to 10098502?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 8:45 PM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 131 + -24?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u + 9. Let w be c(-3). Suppose w*h = -10 + 52. Does 12 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*u - 43 = 14. Suppose -3*j = 5*k - 738, 3*j - 768 = 8*k - u*k. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1210\/9 + -27776\/207. Is k bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 7*q**3 - 22 + 12*q**2 - 3*q - 7*q**3 + 0*q**3. Let k be h(11). Suppose k*c + 20 = 61*c. Let b(z) = z**2 + 5*z + 6. Give b(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g = 16 - 43. Suppose 2*x - 44 - 93 = -3*t, -4*t = -g*x + 180. Calculate the remainder when x is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**3 + 325*z**2\/2 - 12877*z - 80025\/2 = 0. Calculate z.\nAnswer: -97, -3, 275\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = -0*c - 72. Let u(z) = -z**3 - 3*z**2 + 3*z + 6. Let g be u(-6). Calculate the greatest common factor of g and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*1)\/(-1)*(-3)\/18?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 1008*t - 630*t + 8 - 14.\nAnswer: -1638*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.7, -3, 6, 2, -0.2, -2 in descending order.\nAnswer: 6, 2, 1.7, -0.2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 623482207?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + a2?\nAnswer: 9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 2*i + 1. Suppose i = 2*s + 6. Solve 3*b + 5 = -y - y, -s*b = -y + 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 636*k = 2*p + 633*k - 18, 0 = 4*p - 4*k - 4 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 8*g**3 + 1 - 1 to the form q*g**2 + t + p*g**3 + r*g and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -467*f**3 - 415*f**3 - 475*f**3 - 456*f**3 + 1832*f**3.\nAnswer: 19*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 y when three letters picked without replacement from {w: 7, y: 9}?\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 606, 725, 844, 963, 1082?\nAnswer: 1201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21223020 - -11?\nAnswer: 21223031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/(-55) + 493\/374. Let q(j) be the first derivative of 4\/3*j - 3 + h*j**2 + 1\/12*j**4 + 2\/3*j**3. Factor q(p).\nAnswer: (p + 1)**2*(p + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -3, 0.38, -62, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2780 + -2582. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89211?\nAnswer: 3, 131, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = -6*a + 2*a. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*((-38)\/(-57))\/((-8)\/(-4))*-4\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4026080 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -19355.498 to the nearest 10.\nAnswer: -19360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 40673526?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*s - 3. Let t be 12\/(-8)*(-16)\/s. Solve -3*g - 3 = -t*q, 0*q - 3 = -4*g + 3*q for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 80 = 4*z, 4*m + 2*z - 98 = -0*z. Let x = -35 + m. Let h be 3\/((x\/16)\/(-1)). Solve -l - 18 = 3*f - 2, f = -h*l - 9 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 11, -3, -25, -61, -117, -199, -313?\n\"Answer: -k**3 + 2*k**2 - 13*k + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 - 13 - 11)*(2*z - 3*z + 4*z)*(-6*z**4 + 8*z**4 + 5*z**4 + (-z**2 + 0*z**2 - z**2)*(2 - 2 + 3*z**2)).\nAnswer: -156*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4350 and 16878.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 5*v + 34, 0 = v + 2*v + 6. What are the prime factors of 45\/2*16\/c?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 518*b + 226*b - 1153*b + 305*b.\nAnswer: -104*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*m - 20*m - 5*v + 23, 5*v - 59 = 11*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -449 + 467. Calculate the highest common divisor of 72 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1679 + 10763 - 3160)*(-3*q + 3*q + q).\nAnswer: 5924*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (10*32\/(-1040))\/(16\/6656)\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1153, 1322, 1499, 1690, 1901, 2138, 2407?\n\"Answer: b**3 - 2*b**2 + 168*b + 986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3*d + 0 - 78 = 0, 3*d = -4*r + 174. Let k = 50 - r. Suppose 0 = k*b - 15*b + 238. Calculate the remainder when b is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2998 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 44*p**2*u*y**3 - 69*p**2*u - p*u*y**3 + 9*p*u*y**2 - 48*p*y**2 + y**3 - y wrt p.\nAnswer: 88*u*y**3 - 138*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-10) - (-144)\/15. Suppose -14 = -f + u. Let o be (462\/12)\/11 - (-2)\/4. Solve -5*r = -o*t - 10 + 46, -2*r - f = -4*t for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -69 - 9*x + 154 - 72 in the form f*x + k and give k.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-9)\/(-6) - (-209)\/(-110))*-10. Let q be 6\/9 + 12*v\/(-18). Let n = 4 + 1. Put q, -1, n in descending order.\nAnswer: n, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z - 2*z + 11*z + (-4 + 2 + 0)*(2*z + 0*z + 0*z) - 1 + 1 - 2*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (15\/10)\/(6\/8). Suppose 10 = 5*f, 5*c - f = n*c - 11. Sort 4, 5, c in increasing order.\nAnswer: c, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*s - 523*s**3 - 19*s - 19*s + 60*s.\nAnswer: -523*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3875 + -3868. Let m = 3 - 0. Suppose -v*y + 308 = -m*y. What is the greatest common divisor of y and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -0*r - 2*r - 2*a, -3*a = 4*r + 33. Let g(y) = 5*y. Let z(w) = 9*w. Let q(l) = -l**2 + 24*l - 108. Let b be q(7). Calculate b*g(f) + r*z(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-734)\/3670)\/((-1)\/85*1)*-1?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -5*m - 2, -5*v - 3 = -5*m + 27. Let g(i) = i**2 + 65 + 68 + 9*i - 121. Let c be g(v). Solve j + 3 = c*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 41 + 127 = 0. Let y = j - 167\/4. Which is smaller: -2.5 or y?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + 0. Let p = -8 + m. Calculate the remainder when p is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1257 + 3759. What is the tens digit of x\/4*(4 + (-70)\/21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 3. Let d(g) = -599*g - 1793. Let z be d(-3). Is (-4)\/(-16) + 6175\/z + t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -20. Let g be 6*(-3)\/(-6)*p. Suppose 0 = -3*f + 5*d, 0 = 4*f + 2*d - g*d. Solve -v = -f*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 12, -3, -6 in increasing order.\nAnswer: -6, -3, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -731*p = 1078*p + 1724*p + 701 - 142021 for p.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 18*s - 4. Let w be q(0). Let n be (3\/(-2) - 1)*-2. Which is the nearest to -1? (a) n (b) w (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -274 - -274. Solve o = -4*a + 3*a + 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**2. Let i(s) = -173892*s. Determine i(g(d)).\nAnswer: -347784*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15762)\/7326 - 14\/(-6). Determine w, given that -q*w**2 + 6\/11*w + 0 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10120110211121 (base 3) to base 11.\nAnswer: -1087767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 15689 + 2a80?\nAnswer: 18659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5.2924 * -5.1\nAnswer: 26.99124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7 + -3 + -2 + 51?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 35, 4, 3, -42.\nAnswer: -42, 2, 3, 4, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 + 8*d - 8. Let b(p) = 6*p - 6. Let z(k) = 4*b(k) - 3*s(k). Let x(l) = -107*l**2 + l. Give z(x(t)).\nAnswer: 34347*t**4 - 642*t**3 + 3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of 31*k**4\/12 - k**3 - 5*k**2\/2 - 8*k + 224. What is w(-1)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-40)\/(-260) + 84\/(-39). What is the nearest to -0.2 in d, 2, 1\/18?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.799 + 5.799. Which is smaller: b or 37.31?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 350167, 1400832, 3151941, 5603494, 8755491, 12607932, 17160817?\nAnswer: 22414146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.500211 to 3 decimal places.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 + 335 = -5*l. Let p = l + 79. Let g(d) = -d - 6. Let w(f) = -1. Let r(k) = -g(k) + 6*w(k). Let u(m) = 4*m + 1. Calculate p*u(j) - 6*r(j).\nAnswer: -2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6\/5, 4.81, 7\/26, 0.1, -0.2, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a centimeter in micrometers?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-130 - 73 - 95)*(2*m**2 - 2 + 2).\nAnswer: -596*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 10) + (49 - 41) - -6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-47)\/(-7))\/((-390)\/12298). Let s = -1066\/5 - a. Let y = 1376 - 4054\/3. What is the common denominator of y and s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 9465.598 micrometers?\nAnswer: 9.465598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -0.9, -5 in decreasing order.\nAnswer: -0.9, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 177519592883 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.02, 3\/7, -447 in decreasing order.\nAnswer: 3\/7, 0.02, -447","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -7.2. Let v = -1 - u. Suppose -13 = 4*t - 5*c - 38, -4*c = -4*t + 24. Sort -2\/13, t, v in increasing order.\nAnswer: v, -2\/13, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2296 and 119660 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**4\/9 + 4*f**3\/3 + 70*f**2\/9 + 32*f\/3 + 40\/9 = 0. Calculate f.\nAnswer: -2, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 335277317 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + r**2 - 9*r. Let y be j(-4). What is the tens digit of 350\/3 - 4\/y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i**3 - 7*i**2 - 4*i - 3. Let a(w) = -13*w**3 - 29*w**2 - 17*w - 12. Let z(p) = 2*a(p) - 9*q(p). Let s be -3 + (3 - (1 + 3)). Calculate z(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of i**6\/27 - 8*i**5\/45 + 2*i**4\/9 + 4*i**3\/27 - 5*i**2\/9 + 4*i\/9 + 7. Let n(h) = 0. What is h?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4819282 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + 4*b - 57. Let q be u(-13). Calculate the highest common divisor of 420 and q.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -66 + 71. Suppose -n = -3*g + 118, -335 - 217 = r*n + 4*g. Let x = n - -134. Solve 5*l - 7 = -x for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 117*t**2. Let w(h) be the first derivative of 3*h**2\/2 + 74. What is w(u(q))?\nAnswer: 351*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 + 141504*h + 14423006. Give w(-102).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*(-18*u + 10*u - 11*u) - u - 4*u + 0*u.\nAnswer: 14*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 432 and 270.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.6517768 millennia?\nAnswer: 651.7768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2653584 and 816?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10075296 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = n + 2*o, 39 = 5*n + 12*o - 1 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**3 - 3*u - 2*u**2 - u + 2*u as y*u**2 + g + a*u + s*u**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19861408 and 256.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -284835*i**4 - 2*i + 125642 wrt i.\nAnswer: -3418020*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 211346 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 13.57002 times -0.3\nAnswer: -4.071006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4815*c + 109 = 4819*c + 25. Solve -19 + 145 = c*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1291 - 726. Let p = i + -348. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/8 and (-188)\/(-4464) - 10\/45.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 21 + 2 - (-2)\/((-12)\/18). Suppose -78 = -u - a. What is the remainder when u is divided by 18?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 2*z - 2 = 0, -5*z + 2*z = 3*g + 6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -74.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 12:42 AM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that k**2\/10 - 239274*k\/5 - 95710 = 0.\nAnswer: -2, 478550","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 3) + -2 + (213 - 203)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (40\/200)\/((-2)\/(-10)). Let h(k) = -2*k**2 + 2*k - 1. What is h(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 + 3*k**2 + 0*k**2)*(1 - 6 - 1) + 4*k**2 + 104*k - 107*k - 5*k**2.\nAnswer: -19*k**2 - 3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 673 divide 9969856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 + 7. Let z be (-3)\/v - (-23)\/4. Suppose 0 = z*b - 2*b - 76. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-336)\/36 + 10)\/(2\/(-27)). Let g(f) = -f**2 - 10*f - 9. Determine g(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4\/2 + 8*r**3 - 69*r**2\/2 + 45*r.\nAnswer: -r*(r - 10)*(r - 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3 = 5. Let y = 4 + c. What are the prime factors of (-312)\/(-51) + y\/(-17)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 2 + (1 - (11 - 13)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 12:28 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1050 divided by -16835\nAnswer: 30\/481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*n*s - 644473*n + 13460*s wrt s?\nAnswer: -3*n + 13460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3867084\/7 - 552440. Solve 664\/7*q + b*q**2 + 27556\/7 = 0.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 41*m - 37. Let a be t(-42). Let r = 77 + -43. Find the third derivative of -5*b**a + 14*b**2 - r*b**5 + 21*b**5 wrt b.\nAnswer: -1080*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 + 93 + 545*y - 70)*(-2*y**3 - 2*y**3 + 0*y**3) + (-3*y + y**3 + 3*y)*(0*y + 5*y - 4*y).\nAnswer: -2179*y**4 - 4*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 136011 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 95292 and -0.086.\nAnswer: 95291.914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 + 4. Let q = -6 + 6. Suppose q*v = -5*v. Let d be x(v). Solve 3 - 6 = -3*i - 3*o, -d*o = 3*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1452 + 9248. Does 36 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 338200 rounded to the nearest 10000?\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - (2 - (-1 - -5)). Let y(x) = x + 1. Let f(k) = 4*k + 5. Let w(b) = q*f(b) - 5*y(b). Let d(i) = 2*i + 4*i - 5*i. Give d(w(a)).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1052012 (base 7) in base 13?\nAnswer: -4743b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 846*n - 846*n - 520*n**4 + (n**2 - n**3 - n**2)*(n - n - 2*n).\nAnswer: -518*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 7*u - 14 = -3*u, 5*u = 3*y - 56. Let b(p) = 3*p - 13*p - 1 - 2 + 5. Let h be b(-2). Calculate the highest common divisor of y and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 - 20. What is the nearest to 1 in 1, -4\/3, s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1123 - -248080816\nAnswer: 248081939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18377 - 91258\/5. Let n = p - 125. Let u be 6\/(-10) + (-6)\/((-5610)\/451). What is the fourth smallest value in n, u, 0.5, 2\/11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6 + -2 + (-2 - 0). Solve c = -m - 3 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 7*g**3 + 9 + 10 - 24.\nAnswer: 7*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19494*i + 18 - 13*i**2 - 18 - 19494*i.\nAnswer: -13*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 5*m**2 - 2*m**2 - 4*m**3 + 10*m**2 - 4*m - 93 + 95. Let c(k) = -5*k**3 + 14*k**2 - 3*k + 1. Let f(v) = -3*c(v) + 4*p(v). Is f(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-196)\/(-32) - (-2)\/(-16). Calculate the greatest common divisor of w and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(5324) - -1*sqrt(5324))*1)\/((1*sqrt(24))\/sqrt(6) - (sqrt(4) - (sqrt(144) - 2*sqrt(144)))))**2.\nAnswer: 1331\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -182, -1188, -3912, -9212, -17946, -30972, -49148, -73332?\nAnswer: -104382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -46 - -26. Let o = -21 - i. Is o bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zsczz. What is prob of picking 1 s and 1 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-10) + (-14)\/(-10). Let m(c) be the first derivative of 2*c**4 - c**2\/2 + 2*c + 51693. What is m(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 10) to base 16\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from -1100226187.\nAnswer: -1100226190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -191*r + 32. Is y(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 53*v - 199. Let b(g) = -2*g. Let a(r) = -3*b(r) + o(r). Is a(11) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 579483 to the power of 1\/3, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -13, -9, 7, 41, 99, 187, 311, 477?\n\"Answer: t**3 - 3*t - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -128*a - 921. Let b be u(-8). Solve b*p - 96*p + 21 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of -r**4\/6 - r. Let c(a) = 96*a - 56*a - 39*a. Give f(c(t)).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 2*g**2 + 2. Give h(-4).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 55963 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 990 and 2310.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 3) to base 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3\/8)\/f**11)**(4\/3) assuming f is positive.\nAnswer: f**(-91\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-4)*10 - 1. Suppose 0 = -4*q - 0*q + 4. Let u be (q + z\/(-6))\/1. Is u != -1\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.02 + -0.12. Let v = -6.9 + w. Let b = -5 - -4. Is v >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -132?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-16)\/12 + 1)*4*-27. Let b = v - -4. What is the least common multiple of b and 52?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -6005*p**4\/4 - 15*p**3 + 9*p**2\/2 + p + 28. Find the third derivative of l(j) wrt j.\nAnswer: -36030","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2*s - 2)*(-1 - 1 + 5) - 2*s + 6*s + 3*s)*(-115*s - 5*s**2 + 4612 - 4613 + 4*s**2).\nAnswer: -s**3 - 115*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/8 and 39\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (50 - -6) + 14 + (38 - 44).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 334760734 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 19\/16 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ol when two letters picked without replacement from blpdddddvdbdol?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1274552.\nAnswer: 2, 159319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2722525*i + 2 = 2722527*i - 4*f, 0 = -4*i - 4*f - 8 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*r - 187*r + 4712 = 0. Solve 2*w = 5*s - 63 + 34, -5*s + r = 3*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of 42 - 1\/3*c**3 - c**2 - 3*c. Calculate t(-6).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -0*a. Let w = a - 12. What is the remainder when (-495)\/w + (-2)\/8 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 5*y + 2 = -13, -13 = -5*d - 3*y. Let x be 1 + -3 - (1 - d). Which is smaller: x or -36\/29?\nAnswer: -36\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -49 + c?\nAnswer: -3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8928 not equal to 8930?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 5*n**3 - 2*n**2 + 4. Let i(d) be the second derivative of d**5\/20 + d**2\/2 - 3*d. Calculate -c(q) + 6*i(q).\nAnswer: q**3 + 2*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 w, 1 u, and 1 i when four letters picked without replacement from utiswuutstusqts?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -8*24\/(-16) + -11. Suppose 1 = 5*n - 4. Is (30\/(n - 6))\/(s\/(-8)) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2204 + -7?\nAnswer: -2212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10240 - 40991\/4. Find the common denominator of z and 179\/19020.\nAnswer: 19020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1090073 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i - 5 - 2 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f + 196. What is the remainder when n(3) is divided by 39?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 353 + -352. What is the third smallest value in a, 3, 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-26)\/(-5) + 1 + 3\/(-15). Suppose 0 = -i - 4*j + 12, -i - t*j = -8*j. Solve 4*m = -d - 16, 5*d = i*m + 27 + 13 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114209 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14397 - 32*c - 1080 + 18*c + 16*c + 590 to b*c + x and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 53736?\nAnswer: 1\/13434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/2 - 244*r**2 - 7303*r\/2 + 69025.\nAnswer: (r - 502)*(r - 11)*(r + 25)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1bb69a + 4?\nAnswer: -1bb696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 492173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1920696539.\nAnswer: 281, 6835219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/4 + -3)*-6. Let y be 32 - 1 - (k - 11). Let c = -23 + y. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1435772316 and 4712.\nAnswer: 2356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 502192.99975 + -502410. Let v = -217 - h. What is v rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672065600 rounded to the nearest 100000?\nAnswer: 672100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*b**2 + 41*b**2 + 30*b**2 to the form w + j*b**2 + q*b and give j.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14 - 32*k - 3 + 33*k)*(k + 4 + 0 + 1) to the form v*k**2 + x + y*k and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 4:32 AM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 56159071?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -139 + 135. Which is smaller: v or 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g - 3*p = -4*g + 18, -2*p = 4 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 912689 a multiple of 133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of -2*j**2 - 2*j + 28. Suppose 3*t = 11 + 1. Let s be t\/(-5)*30\/12. What is y(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7846044, -7846027, -7846010?\n\"Answer: 17*y - 7846061","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -2 (c) -8 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6657723?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from immiiiimiii. Give prob of sequence miim.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 5\/11, 1.121, -0.25, -2?\nAnswer: 1.121","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1428 - 1428.15. Which is smaller: c or 9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21545661?\nAnswer: 3, 7181887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4*y = 5, -8*y - 2 = -2*v - 5*y. Suppose 2*d = -v*d + 2592. Is 16 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -582, -626, -718, -876, -1118?\nAnswer: -1462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16785*n + 16757*n - 448 = 0 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 - 10*r - 7. Let p be l(11). Let g(v) = 2*v + 5. Let h be g(-5). Let j = h + p. Which is the third smallest value? (a) 1 (b) 5\/2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(242) + sqrt(242) + (sqrt(242) + (sqrt(242) - (sqrt(242) - sqrt(242)*-2 - sqrt(242))) + sqrt(242) - sqrt(242)))*1.\nAnswer: sqrt(5)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 9 - (-3 - (-16 + (-10 - -8)))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -0.06835796?\nAnswer: -4.06835796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86890?\nAnswer: 2, 5, 8689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -389975 + 389975 + 532*v**3.\nAnswer: 532*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j\/(j\/(j\/(j*j*j**(-2\/29)))))\/j*j\/j**(-2\/5))**25)**(-2\/101) assuming j is positive.\nAnswer: j**(-680\/2929)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/411? (a) -21 (b) -5\/56 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 59343 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131 = 2*o + p, 7*o + 5*p = 4*o + 179. Calculate the common denominator of -21\/2 and (-3 + -7)*o\/(-64).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(28))\/sqrt(2))\/(sqrt(189)\/sqrt(3)).\nAnswer: -sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1 + -3 + (1 - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28*h**4 - 10*h.\nAnswer: -336*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1219\/10296 + 15\/104. Find the common denominator of -21\/1364 and u.\nAnswer: 12276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12386885 divided by 2477377.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 184736 and 69552.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1422 - -808. Let r = z - -613. Are r and -1\/1280 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3985912 is divided by 1992849?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2072)\/(-1064))\/((-18)\/342)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -6. Let w be 2 - 0 - (-1)\/a. Let f(g) = -g**3 + 4*g**2 - 3. What is f(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7323930923 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, y: 3, e: 7, t: 4}. Give prob of picking 1 t, 2 y, and 1 o.\nAnswer: 4\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56 and 5*(-3)\/(-60) + (-45)\/(-12)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181*l - 143 - 762 = 0. Solve 5*w - l*r + 0*r + 25 = 0, 2*w = -2*r + 6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -30*q**2. Let j(s) = -8*s**2 + 6*s**2 - 15*s**2 - 10*s**2 + s**2. Calculate r(j(p)).\nAnswer: -20280*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 20. Let j be 4\/(-26) + q\/26. Suppose c - 1121 + 166 = j. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f - 1. Let s(h) = -2*h - 3. Suppose -u + p + 17 = 2*u, -2*u + 18 = -2*p. Suppose 6 = -2*z + z - 2*x, 0 = z + u*x + 14. Determine z*s(n) - 5*c(n).\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1742939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3729 - 3659.888. Let c = m - 0.112. Let y = 69.000126 - c. What is y rounded to 5 dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f = -4*b + 18*f + 56562, -3*b + 5*f + 42419 = 0. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vwmw when four letters picked without replacement from {v: 6, m: 1, x: 1, w: 2, u: 3}?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1029050 and 16230?\nAnswer: 1670148150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4803*v**2 - 1655*v - 14007691 wrt v.\nAnswer: 9606*v - 1655","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2*w = 5*x - 459198, 5*w = 2*x - 229587. Let s be (-2)\/((-14)\/x) - 3\/21. Round s to the nearest one thousand.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4005342 and 144.\nAnswer: 32042736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 78256912?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 12*n**2 + 13*n - 13. Determine s(-13).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (3 - -4)) + 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 b when two letters picked without replacement from lbbcmxbmxgx?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0 - 5) + 2 - -3) + -182 + 195.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 4*y - 16 = 0, 5*y = -4*d - d - 15 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -r**3\/5 + 7554*r**2\/5 - 9849851*r\/5 - 9857406\/5 = 0.\nAnswer: -1, 1677, 5878","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 115 - -9. List the prime factors of b.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 26 = -5*n, 3*l = -n - 10 - 10. Let o = -3 - l. Solve 0 = -0*a + 3*a + 5*p, 3*a - o*p = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/7906497 and -65\/9.\nAnswer: 23719491","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j**3\/9 + 634666*j**2\/9 + 815980*j\/9 + 181328\/9 = 0. What is j?\nAnswer: -45332, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1422*r**5 - 2*r**3 + 2898*r.\nAnswer: 28440*r**3 - 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 144*u + 32*u - 24*u + (3 - 3 + 1)*(-3*u - 3*u + 4*u) in the form w + p*u and give p.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zvcvcczzucwuzzcg. What is prob of picking 2 c?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 248023?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 217964573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 61 = 19. Let l be ((-6)\/(-44))\/((-15)\/s). Sort l, 1, 0.3.\nAnswer: l, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0\/(-2) + 3)\/(-1). Let d be h*(-4)\/6*1. Suppose -z - 8 = -d*z. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130442443 (base 5) in base 16?\nAnswer: 9c575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20 - 44002?\nAnswer: -44022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 59 + 460 = 3*q, 0 = 3*q - r - 389. Suppose -5*v + q - 136 = 0. What is the second biggest value in -0.5, v, -41, -3\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, v: 4, m: 1, l: 10}. What is prob of sequence wlll?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*m + 197 = -29 - 206. Calculate the highest common factor of 4176 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 280444 to the nearest integer?\nAnswer: 530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.34, 1, -4\/5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 5*v**2 - 18*v + 39. Let g(o) = -6*o - 29. Let y be g(-6). What is the tens digit of c(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6227812220242 - -0.02\nAnswer: -6227812220241.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9831570 divided by -6.\nAnswer: 1638595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 200212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j - 5*j. Suppose j = 2*n + 6, 2*n + 2 = c + 7*n. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -224*a**2*c - 312*a**2 + 104*a*c + 2*a - 43330213*c + 5 wrt a?\nAnswer: -448*a*c - 624*a + 104*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 399391?\nAnswer: 399391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3988 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s**2 - 70*s - 2*s - 2*s**2 - 76 + 75 to b*s**2 + t*s + i and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.245 - -2.3. Round v to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q - 4*q = 315. Does 9 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1260 and 1160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 14*s**2 + 4*s - 69. What is the remainder when c(13) is divided by 52?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 40*j**2 - 16*j - 19. Is m(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 * 122.\nAnswer: -1098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -15*v**3 - 5*v**2 - 33. Let x be f(-5). Let j = x + -863. List the prime factors of j.\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 405*l - 398. Let w be n(1). Let i(p) = p**2 - 10*p + 14. What is i(w)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from mmlcmfcmmmffflfmmmc.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-201)\/(-408) + 10\/(-85). Let h(o) = o - 2. Suppose 8*p = -3*t + 3*p + 15, -5*p + 15 = -t. Let i be h(t). Put 1, i, k in increasing order.\nAnswer: i, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 21*m + 78. Give s(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 5, -1632 in increasing order.\nAnswer: -1632, -32, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9567053 or 9567043?\nAnswer: 9567043","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrereerrererr. What is prob of picking 2 e?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 12.1*-277986\nAnswer: -3363630.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.09 and -33?\nAnswer: -2.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.24 + 10.76. Let a = x - 11.3. Let j = a + 0.1. What is the second biggest value in j, -2, -2\/13?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 27, 16906 in increasing order.\nAnswer: -8, 27, 16906","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 3*c + 130 = 2*v, -v + 59 = 4*c. Suppose -4*g + y - v = -6*g, g - 34 = -y. Calculate the remainder when g is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -221, -12, -1, -3, 203 in decreasing order.\nAnswer: 203, -1, -3, -12, -221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ti when two letters picked without replacement from itiitzziqii.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-6)*b*b*b**2*(b**(-1\/3)*b)**(9\/2)*(b*b**(5\/3)*(b*b*(b\/b**5)\/b*b*b*b)\/b)\/((b**(2\/5)\/b)\/b)**31 assuming b is positive.\nAnswer: b**(784\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 485 and 3.\nAnswer: 1455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-3)*102\/(-4). Let n be (34\/(-6))\/(((-35)\/(-21))\/5). Let f = 17 + n. Solve f = 5*o - p - 3 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 655.\nAnswer: 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -879bc (base 13) to base 2.\nAnswer: -111011111100100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2576 - 1823. Let v = a - 756. Let p = 3.1 - 3. What is the third biggest value in p, 0.6, 4, v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -20 + -3a44f?\nAnswer: -3a46f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 3:03 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*z**2 - z + z)*(0 + 6 - 20)*(-13 + 13 - 6*z) as h + q*z**2 + b*z + k*z**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6504 + 7350. Is 9 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 28399*w. Let g(q) = -8*q. Calculate g(t(f)).\nAnswer: -227192*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2138264 = 106*k - 2145896 for k.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-4) + 19\/((-532)\/21)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(1078)*-4)\/((sqrt(11)*-3 + sqrt(11))*6*-5))**2*2.\nAnswer: 784\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96891 is divided by 48299.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 12. Suppose 2*n - 2 = -0*n. What is the highest common divisor of b and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 132 and 72?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/28 - 12\/28)\/((-3621)\/(-102)).\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 - 218 = 24*r for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3.53*0.025412\nAnswer: 0.08970436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-18) - (-16)\/(-234). Let o = -3 - -3.01. Let f = o - -2.99. Which is the third biggest value? (a) -0.5 (b) f (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18\/8 - ((-55)\/20 + 2). Let g(b) be the first derivative of 12*b**2 + 3 + 3\/4*b**4 + 5*b**f + 12*b. Solve g(p) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -920 = 221*c + 760 + 309 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.12 + -0.32. Put 0.2, m, 5 in ascending order.\nAnswer: m, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47352113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 5. Let f(i) be the second derivative of i**3\/6 - i**2\/2 - i. Let q(x) = 1 + 2*x - 2*x - 2 + x. What is r*q(b) + 4*f(b)?\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 6*y = -y + 155, -y + 129 = 4*q. Let b = 22 + q. Suppose -50*g = -b*g - 15200. What is g rounded to the nearest 100?\nAnswer: -3800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-285)\/(-12) - 1\/(-4). Suppose 25*t - 17*t = o. Calculate the lowest common multiple of 55 and t.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0174648 * -4\nAnswer: 0.0698592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -6*s + 11. Let f be d(-5). Suppose 2 = 42*y - f*y. What are the prime factors of (370\/(-3))\/(0 - y\/3)?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-69*(-32)\/384)\/((-3)\/12).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/14*12\/((-3)\/1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187236 is divided by 62391.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - 14*p - 14. Calculate i(14).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -197, 3 in descending order.\nAnswer: 3, -3, -5, -197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 212230123*d*t**2 + 106663981*t**2 wrt d?\nAnswer: 212230123*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*i - 15*i - 19*i**2 + 3*i - 56*i**2)*(-19*i + 44*i + 8*i).\nAnswer: -2475*i**3 + 66*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 680607168 to the power of 1\/3, to the nearest integer?\nAnswer: 880","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -131 or -2218\/17?\nAnswer: -2218\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-5\/4)*f\/(f**(4\/7)\/f)*f*f**(2\/27)*f**(-1\/3) assuming f is positive.\nAnswer: f**(695\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of 5*b**5\/4 - b**4\/12 + b**3\/3 - b**2 - 6*b - 2. What is s(1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50630?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16164 is divided by 4975?\nAnswer: 1239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 6060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j = -4*j - 66. Let d be ((-18)\/(-15))\/((-3)\/(-10)). Solve -5*w - j = d for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1360236863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23246 (base 8) to base 13.\nAnswer: 4671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1*-0.034537\nAnswer: 0.034537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.67 + -28.67. Let q = -28.4 - d. Which is the second biggest value? (a) q (b) 3 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/234, 62, 1, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of 16*u**3 - 94*u - 46. What is the derivative of r(m) wrt m?\nAnswer: 96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 219, 446, 673?\nAnswer: 900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 869632*q**4 - q**2 - 246779*q wrt q.\nAnswer: 20871168*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1742 - 1713. Let g = 18 + 10. Which is greater: g or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 97, -0.04, -0.7, 4, -3?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 170, -730, -2258, -4414, -7198?\nAnswer: -10610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + 0 + 6 - (-96 - -189).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2112.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -5*a + 372. Does 7 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a - 1. Let y(k) be the first derivative of -k**3 + 9*k**2\/2 + 7*k + 19. Let f = -22 + 17. Let g(b) = f*y(b) - 35*n(b). Factor g(x).\nAnswer: 5*x*(3*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = -4*r + 8*v, 0 = 22*r - 20*r + 5*v - 32 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 577, 1147, 1717?\nAnswer: 2287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 23*k**2 + 5. Suppose -o + 2*d = -18, 0 = -o + d + 21 - 6. Let g be ((-20)\/4)\/(-3*4\/o). Let m(z) = 11*z**2 + 2. Give g*m(h) - 2*n(h).\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -z + 3*z + 73, -z = 3*l + 44. Let y be (-2)\/l + 888\/90. What is p in -10*p + 8*p**2 + 19 - 18 - y*p - 13 = 0?\nAnswer: -1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 10*o**2 + 12*o - 15. Let a be c(-8). Solve 0 = r + 4*t + a, 4*t = r - 0*t - 23 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4729078 + 4\nAnswer: -4729074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -46940144, -93880287, -140820430?\n\"Answer: -46940143*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11045772?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 114 + 10838?\nAnswer: 10952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + d**3 + 3 + (-1 + 1 - 2*d**2)*(-4 - 2*d + 4) + d**3 + d**3 - 4*d**3)*(-544*d**2 - 1308*d**2 - 1259*d**2).\nAnswer: -9333*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 15. Let w(s) = -2*s + 0*s + 3*s - 13 - 4*s. Let v be w(h). Put -1, 4, 3, v in increasing order.\nAnswer: -1, 3, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 128.9 - 135. Let d = 2.9 - t. Let k = -9.00064 + d. Round k to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (15\/35)\/(4\/(-14)). Let r be (68\/14)\/(-2)*(-304)\/48. Let u = -47\/3 + r. Which is the second biggest value? (a) n (b) u (c) 0.1 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 354512813.\nAnswer: 53, 1091, 6131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*r**3*t**2 + 50*r**3*t - r**3 + 2*r**2*t**2 - 56*r**2 - 409*r*t**2 + 44*t**2 + t wrt t?\nAnswer: 14*r**3 + 4*r**2 - 818*r + 88","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + l**2)*(-l + 0*l + 0*l) + (-3*l**2 + l**2 + l**2)*(2 - 4 - 5*l + 6*l).\nAnswer: -2*l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1522184, -1522185, -1522186, -1522187, -1522188?\n\"Answer: -i - 1522183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -203681750 by 814727.\nAnswer: -250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128 is divided by 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of 1\/4*g**4 + 3\/2*g**2 - 5*g - 5\/3*g**3 + 1. Is i(5) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11\/3 in -0.3, -9849, 1\/10?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16.5 - -12. Let z = 5 + r. Let m = -1 + 1.4. Sort m, 4\/5, z in decreasing order.\nAnswer: 4\/5, z, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -3, -5 in ascending order.\nAnswer: -16, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 6*l - l**2 - l - 9*l - l - 2. Let h(r) = 2*r**2 + 11*r + 4. Let n(g) = -6*h(g) - 15*i(g). Factor n(q).\nAnswer: 3*(q + 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-6) + 2\/(-6). Let t be 8 + -1 + y*3. Suppose t*r = -2*u + 2000, u - 4*u = 5*r - 2501. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 212 = -4*l. Let d be ((-60)\/30)\/(-1 - (-33)\/32). What is the remainder when l is divided by 21\/3*(d\/(-14) + -2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-332)\/6)\/((-448)\/(-64638)). Let a = o + 7981. What is the common denominator of 133\/24 and a?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -82 - -148. Let b = -43 + r. Calculate the remainder when 114 is divided by b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*y - 143*y + 99006 = 0. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*n**2 - 151*n + 50 + 50 + 4 - 5*n + 55 = 0. What is n?\nAnswer: -53, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 27*m**2 - 35*m + 86. Give n(26).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 7*o**2 + 3. Suppose -3*t + 24 = 3*s, 20 = -t + 4*t + s. Suppose t*q + 18 = -18. Let n(p) = -p**2. Calculate q*n(d) - h(d).\nAnswer: -d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23? (a) -3 (b) -0.4 (c) 21\/5 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1116099 is divided by 1159?\nAnswer: 1141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -3. Suppose p*y = 4*y - 27. List the prime factors of (y\/6)\/((-1)\/(-2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.7724 + -2.2276. Which is the closest to -0.2? (a) -0.2 (b) u (c) 0.3 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12.3 - 90.7. Let w = 103.4 + i. Are w and -0.7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -208.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -440 - -251. What are the prime factors of (-180887)\/u + (-2)\/27?\nAnswer: 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 80128*o - 7 - 1 + 6*o**3 - 80119*o in the form p*o + d*o**2 + t + h*o**3 and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - -0.8176596145282.\nAnswer: 0.6176596145282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 48 = 150. What are the prime factors of y?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 3*p + k, 3 = -5*p + 2*k - 67. Let l be (-219)\/(-15) - p\/35. Let i = l - 11. Solve 3*b = 2 + i for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-3)*1)\/((-13848)\/(-93474))*(-96)\/(-9).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {l: 1, v: 2, q: 2, x: 1, e: 2, h: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1250148 and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -33*r - 1. Let s(d) = -7410*d. What is j(s(q))?\nAnswer: 244530*q - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -0.1, 306, 13, 3, -1\/13, 1?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -59 (c) -4 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, 0.26, 7.7, -1\/4 in decreasing order.\nAnswer: 7.7, 0.26, 2\/15, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l - 4*l + 4*l)*(86 - 241429*l + 69 + 241444*l).\nAnswer: 60*l**2 + 620*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007728762087 to 6 decimal places.\nAnswer: 0.000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a millennium in months?\nAnswer: 43200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1827?\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - p = -21. Let h(n) = n**2 + 2*n + 4. Let w be h(-3). Is w at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104143174453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.542445809 rounded to three dps?\nAnswer: 4.542","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -357511 - 19?\nAnswer: -357530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + 19. Solve -p*u + 4 = 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -x**5\/4 - 101*x**4\/2 + 1059*x**3\/4 + 1242*x**2 = 0.\nAnswer: -207, -3, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**3\/2 - 494557*q**2\/2 - 61147398391*q\/2 - 183437744187\/2 = 0. Calculate q.\nAnswer: -247277, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/13 - 6*s\/13 + 56\/13.\nAnswer: -2*(s - 4)*(s + 7)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from ueehh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2434211206 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/15, -18\/5, -115\/14?\nAnswer: -115\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from ceeeqeqccq.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -8402?\nAnswer: 1\/8402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, -0.03, -3, -4, -1 in ascending order.\nAnswer: -4, -3, -1, -0.03, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n. Let r(v) = -v**3 - 17*v**2 + 23*v + 9. Let i(l) = 4*k(l) - r(l). Let f be i(-18). Calculate the greatest common divisor of f and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 5*c = -125 + 175, -6*c + 73 = a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 3575680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -82*r + 4. Suppose -2*z - 2*g = -10, 4*z = 4*g + 35 - 47. Calculate t(z).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/284606 and 47\/1362744.\nAnswer: 276637032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1332*b - 30677 = 1331*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-1 - -4) + -1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/6, 0.02, -0.0426, 0.2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28\/121 and -73\/770.\nAnswer: 8470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*m + 59568 = 45*m. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/9464 and 45\/2366.\nAnswer: 9464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.2690623ml?\nAnswer: 0.0002690623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 4, 9, -14 in increasing order.\nAnswer: -14, -1, 2, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223 = d - 5*n, 3*n = -150*d + 147*d + 5*n - 84 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**2\/9 - 266*m\/3 + 264 = 0. Calculate m.\nAnswer: 3, 396","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**4 - 995*f**3 + 86176*f**2 - 601020*f - 209952.\nAnswer: (f - 162)**2*(f - 8)*(3*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12054433 is divided by 1506797.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p - 3. Give g(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -93 - -95. Let j(t) = t. Determine j(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - (-27 + 1) - 0. Suppose a = 2*o - 68, -3*o + 3*a - 48 = -4*o. What is the greatest common factor of o and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-116)\/(-20) + (-4)\/5. Let y(u) be the third derivative of -u**5\/60 + 5*u**4\/24 - u**3\/2 - 2*u**2. Give y(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(539) - (4*(sqrt(539) - (sqrt(539) + -1*sqrt(539))) - sqrt(539))) - ((sqrt(539) - 5*(sqrt(539) + 1)) + (sqrt(539) - -6*sqrt(539)*-1)))**2.\nAnswer: 882*sqrt(11) + 26492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-46)\/(-14) - 8\/28. Let l(d) = 0*d**2 + 5*d**2 + n*d**2 - d + 0*d**2. Is 17 a factor of l(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 781, 1543, 2293, 3025, 3733, 4411, 5053, 5653?\nAnswer: 6205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 - 13. Suppose o*g = -2 + 7. Let j = -13 - -18. What is the highest common factor of g and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r - 8859*t + 8774*t + 705, 2*t = 16 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 322 divide 682350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q + 1. Let c(s) = -6*s**3 + s**2 + 3*s - 3. What is c(b) + 3*z(b)?\nAnswer: -6*b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -17. Suppose 5*v + 32 = -13. Let d = k - v. Does 12 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d + 5 = r, -89*r = -d - 86*r - 15 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in fifteen quarters of a microsecond?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/768 and -75\/128.\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 1:37 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -7*d + 286. Let r be (-21)\/6*-24*(-16 - -18)\/4. Calculate a(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 681093 to the nearest integer?\nAnswer: 825","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34.93 + 35. Which is the second biggest value? (a) -3 (b) u (c) 3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 + 21. Suppose y + 0*y - 3 = 0, 2*u - 3*y = -17. Sort u, -2, h in descending order.\nAnswer: h, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21b01b (base 12) in base 5?\nAnswer: -114144211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -41*s - 52. Let v be y(-11). Is v > 399?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g**2 + 2*g - 1. Let v be l(1). Let j(b) = b - 1. Let h be j(v). Suppose h*a - 4 = a. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6*9\/(-36))\/(12\/(-2)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 111111110010011 (base 2) to base 9\nAnswer: 48717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 33 - 43. Differentiate -80*r**w + 55*r**2 + 17 + 2*r - 2*r with respect to r.\nAnswer: -50*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.36 + 3. Let x = k - -0.36. What is the closest to x in 4, 1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 146\/3 - 8\/(-24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(2\/21)*i*i**(4\/7))\/((i**(-3\/20)\/i)\/i)**12 assuming i is positive.\nAnswer: i**(427\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 2*i**2 + 8*i. Let l(t) = -3*t**2 - 11*t + 2. Let d be l(-4). Let r be n(d). Solve -7*a - 6 - 1 = r for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -4*a - 167, -87 = -3*s + 18*a - 20*a. Solve -s*v + 38*v - 28 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (2\/7)\/((-10)\/14)*-75 and 9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10276 - -5888. List the prime factors of a.\nAnswer: 2, 3, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 11. Suppose 2*y + 37 = z, 3*z - x*z + 4*y = -209. Suppose -2*p = -h + 2*p + 33, 4*p - z = -5*h. What are the prime factors of h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that a**4 + 758*a**3 - 1523*a**2 - 2280*a = 0.\nAnswer: -760, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 25.9 from -1.\nAnswer: -26.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16711 is divided by 61?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.11 + 0.51. Let k = -2269 - -11349\/5. Which is the closest to -2\/9? (a) -3 (b) -0.12 (c) k (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r. Let f be p(1). Let w(c) = 3*c**3 - 7 - f*c**3 - 7 - 2*c**3 + 10*c**2 + 2*c. Let j be w(10). Solve -2*i + 5*i = -j for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*c - 272 + 2384. Does 8 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.45 - 19.45. Which is bigger: -0.1 or n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -3990851.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*m + 2*m + 3*m)*(-8 - 1 + 5) + (2*m - 2*m + 8*m)*(-3 + 1 + 0) in the form l*m + u and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventeen quarters of a millennium?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4370 - -4379. Let j(u) = -u + 9. Let m(t) = 4. What is k*m(d) - 4*j(d)?\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -5, 110, 62?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9592 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 715*y**3\/3 - 301*y**2\/3 + 2*y = 0?\nAnswer: 0, 3\/143, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*l*t**2 + 10790*l*t - 9009*l - 6*t**3 wrt t.\nAnswer: 4*l*t + 10790*l - 18*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - o - 3, 0 = -5*p + 3*p + 2*o + 6. Let k = 15 + p. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 982619?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -9662430, -19324877, -28987324, -38649771?\n\"Answer: -9662447*y + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 22366 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(5\/3)*((a\/a**(-2))\/a)\/a)**25)**(-36) assuming a is positive.\nAnswer: a**(-2400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -7. Suppose n = 7*y + 14 + 224. Let w = 38 + y. Put -2, w, 9 in decreasing order.\nAnswer: 9, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*j - 32*j + 7952. List the prime factors of j.\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22819 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -8, 9, 4 in descending order.\nAnswer: 9, 4, 2, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*m + 30 = 0. Let z = 6 + m. List the prime factors of (-513)\/(-39) - z\/(-26).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + -1. Let t be (-3)\/w - (-1)\/2. Suppose 0 = -5*a - t*l + 190, -3*l = -2*a - 6*l + 65. Is 20 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3 - 242785*q**2 - 14097270*q - 52504200.\nAnswer: 5*(q - 48615)*(q + 4)*(q + 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22694.\nAnswer: 2, 7, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 14 - 6. What is the remainder when 35 is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 797*c = 794*c - 18 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + -7 + 25 + -25.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**2 + 9. Let d be ((-40)\/6)\/((-10)\/135). Let q = d + -94. What is the units digit of n(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 64.3 + -64. Suppose 2*w - 2*r = 0, 0 = -4*w + 2*r - 1 - 5. What is the nearest to -2\/53 in w, -2\/9, t?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07 + -99455683955914.\nAnswer: -99455683955914.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*z**2 - 1 + 2*z**2 + 2*z**2 to i*z**2 + v*z + g and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6a + -153?\nAnswer: -1bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -4*x + 7, x + 6 = -3*j + 1. Suppose -5*c = 3*u - 12 - 29, -x*u + 38 = 5*c. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fh when two letters picked without replacement from {h: 1, f: 2, j: 2, y: 4, r: 1, e: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**3 - 402*p**2 + 11934*p + 903474 = 0. Calculate p.\nAnswer: -33, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -196\/9 + 501\/23. Find the common denominator of -25\/6 and j.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1927 + 362 = -473*j - 10482 for j.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 865 = 3*y, -a + 42 + 139 = -y. Let z = 251 - a. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/70 and 31\/574840?\nAnswer: 574840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*n + 82 - 292 = 0 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148744 is divided by 12395?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r**4 + 4*r**4 - 3*r**4)*(62 - 62 - 19*r) + r**5 + r**5 - 4*r**5.\nAnswer: 55*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/3594050 and -13\/4.\nAnswer: 7188100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011 + -1001100110010111111001?\nAnswer: -1001100110010111101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101100110010011101000 + -1011?\nAnswer: -101100110010011110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 0 + 3 + -2 - -8\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of 11*c**5\/15 + 13*c**4\/24 + 22*c**3\/3 + c**2 - 10*c. Is i(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*-12)\/(19\/(342\/24)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**8)**40\/(s**(-1\/11)*s**(19\/2)) assuming s is positive.\nAnswer: s**(6833\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q + 7. Let x(g) = -g**3 - 6*g**2 + 2*g + 2. Let f be x(-6). Let l be h(f). Let a be ((-2)\/l)\/(1\/18). Solve -5*y = 4*i + a, -5*i - 1 = -11 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -57*o**2 + 15*o - 15. Let w(d) = -3*d**2 + 2*d - 7. Let i(u) = -2*u**2 + 2*u - 8. Let m(s) = 5*i(s) - 6*w(s). Give -15*m(f) - 2*x(f).\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = 3*g - 9*g - 21, 528*h = -2*g + 275*h + 249*h + 35 - 7 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 488*b - 483*b + 6*a - 38, 5*b + 18 = a for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/4, -3, 26, -2\/7, -2\/3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 - 18. Let r be 5*-6*(-1)\/i. Differentiate -3*k**3 + 10 + r*k**3 - 2*k**3 - 6*k**3 wrt k.\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19705\/10096 - 9\/631. Find the common denominator of o and 7\/92.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -107, -433, -977, -1739?\n\"Answer: -109*k**2 + k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10324 and 1513.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + -3*7\/18. Let q = 140.63 - 140. Let n = 2.37 + q. Which is the smallest value? (a) o (b) 0.4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -0.5, 3\/2, 434?\nAnswer: 434","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**5 - 25*c**4 - 4*c**3*v + 43*c**2*v + 2*c - v wrt c.\nAnswer: -60*c**2 - 600*c - 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -1010101100101001?\nAnswer: 1010101100101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -61 + 104. Suppose -8*k - 385 = -137. Let r = k + a. Solve -3*g = -6*g + r for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.3, -133, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 + -39. Let u(z) = -z - 14. Let b be u(c). Is 6\/21 + (-11849)\/b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 79781268?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3 + 45073*d**2 - 1623961*d - 1669033.\nAnswer: (d - 37)*(d + 1)*(d + 45109)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -a6 (base 11) to base 13\nAnswer: -8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -903282*g*m**2*x**2 - 2*g*m**2 + 124*g*m*x**2 - 3*m*x + 67*x**2 wrt m?\nAnswer: -1806564*g*x**2 - 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 53299.8 to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*x + 102*x**2 + 110*x + 104*x - 426*x + 111*x.\nAnswer: 102*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28.008 - 0.008. Let a = m + -28.000108. What is a rounded to 5 dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 1111?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 1. Let u = -7 - -13. Let z(g) be the first derivative of -g**2\/2 - 7*g - 158. Let x(r) = u*j(r) + z(r). Calculate x(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n**3 - n**2 - 6 - 2*n**3 - 1. Let l be q(0). Let g(v) = v + 10. Let c be g(l). What is the highest common factor of 12 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 43 (b) -5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3*a - d = 321, 3 = -3*d. Suppose -2*j + a = 2*j. Suppose 4*p - 18 = 5*r, 2*p + 0*r + 3*r = j. Is 7 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86 divided by -5.\nAnswer: 86\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 436725 + 461018 = 131*t. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 458 - 912 - 48*p + 446.\nAnswer: -48*p - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 - 1\/(4\/(-28)). Let 1\/2*s**4 - 1\/2*s + 1 - 3\/2*s**o + 1\/2*s**3 = 0. What is s?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/8)\/((152\/(-399))\/((-64)\/72))?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 6:50 AM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five eighths of a hour?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*t**2 + 32*t**2 + 28*t**2.\nAnswer: 13*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 618 divide 472556267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 5*y + 22, -4*k - 4*y + 22 = 2. Let l(n) = -n**2 - 7*n - 2. Let v be l(-6). What is the second derivative of -m**2 - k*m + 2*m + v*m wrt m?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) + sqrt(400)\/(sqrt(24)\/sqrt(3) + sqrt(8)) - sqrt(800)*1)\/(sqrt(50)\/(4*(sqrt(5) - (sqrt(5) - sqrt(125))))).\nAnswer: -50*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 233?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 927 = 3*z, -u - 4*z = u - 612. Does 15 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4638*j**3*t**3 + 2*j**3*t + 5*j**3 + 330*j**2*t**3 - 2*j**2*t**2 + j**2 - j - 2*t wrt j?\nAnswer: 27828*t**3 + 12*t + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**2 - 5*r**4 + 2*r**2 + (-5*r - 3*r + 5*r)*(3*r**3 - r**3 + r**3).\nAnswer: -14*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/(-7))\/((-3)\/(-2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + h**2 - h + 1. Let k(f) = f**3 - f**2 + 8*f - 9. Give -k(q) - s(q).\nAnswer: -2*q**3 - 7*q + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 69861?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 13 = -2. Let t = -279 + 378. Calculate the highest common factor of o and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 10*f**2 + 24*f + 62. Let t be x(-8). Let w = 0.3 - 1.3. What is the nearest to 0 in w, t, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in nineteen quarters of a gram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5498, 5377, 5256, 5135, 5014, 4893?\n\"Answer: -121*x + 5619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199197211?\nAnswer: 17, 11717483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3796.\nAnswer: 2, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.16 (b) 13 (c) 3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*h + 23*h - 6. Suppose -4*g + h*g = -12. Let o(q) = q**2 + q + 3. Let k(b) = b. Let z(l) = 5*k(l) - o(l). What is z(g)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**3 + 3*f**2 - 2*f - 1. Let j be 18\/4 + (-2)\/((-12)\/(-9)). Let u(a) = -11*a + 2*a**2 - 1 + a**3 + 9*a - 2*a + j*a. Calculate -2*p(r) + 3*u(r).\nAnswer: -r**3 + r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -5*f - 3*j, 4*j = -4*f + 136 - 32. Solve 4*i + 1 - f = 3*c, -2*i = 3*c + 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(612) + sqrt(612)*-1)*-5 - (-4*(sqrt(612) + -1 - sqrt(612)) + sqrt(612)))*2)**2.\nAnswer: 192*sqrt(17) + 2512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2454, 2606, 2772, 2958, 3170?\n\"Answer: q**3 + q**2 + 142*q + 2310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 496*y**3 + 14877*y**2 - 31834*y + 192 = 0 for y.\nAnswer: -32, 3\/496, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s = 6*s + 212. Let o = s - 46. Suppose 0 = -o*p + 2*p + w + 596, 5*w + 600 = 5*p. What are the prime factors of p?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g - 17. Let p be w(8). Suppose u = -5*s + 3, 138*u - 5*s = 143*u + 85. Which is the smallest value? (a) u (b) p (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 4 - 1)*(9*z - 11*z - 28*z + 25 - 36*z) as y + c*z and give y.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 83, 465, 1313, 2801, 5103?\n\"Answer: 29*v**3 + 59*v**2 + 2*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -19*x**2 + 35*x**2 - 19*x**2. Let y(r) = 5*r. Give y(l(u)).\nAnswer: -15*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6789.446 millilitres in litres?\nAnswer: 6.789446","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4234, -16.\nAnswer: -4234, -16, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 2 = -4*x, -8*x - 5 = -13*x for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1060 - -1060.0027. Round z to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 86, 321, 556?\n\"Answer: 235*x - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -i**4\/2 + 3*i**2\/2 + 5*i + 4. Let l(b) be the first derivative of s(b). What is the derivative of l(n) wrt n?\nAnswer: -12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -572 = -2*z + 4*o, z + 2*o = 6*z - 1438. Calculate the greatest common factor of 32 and z.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + r - 163. Let g be x(0). Let a = -18 - g. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25742*p + 4286*p + 4421*p + 4305*p + 4387*p + 4301*p + 4281*p.\nAnswer: 239*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6126778 a multiple of 1178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.6885061 hours in days?\nAnswer: 0.1120210875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -50 (b) 10631 (c) 1\/5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 3*s - 10 = -2*s, 3*u = -3*s + 6. Suppose u = h + h - 10. Let c = -12 - -11.7. What is the smallest value in 0.3, c, h?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 38 - (1 - (1 - 2)). Suppose 2*q = 6 + p. Let u(n) = -2*n**2 + 64*n - 144. What is the smallest common multiple of q and u(29)?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 805\/(-2070)*(-312)\/910.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**3 + 2*t**2 - 2*t + 3. Let r(b) = 56*b**3 + 83*b**2 - 20*b + 30. Calculate 10*d(s) - r(s).\nAnswer: -36*s**3 - 63*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 20 = -2*u, -6*b + 7*b + 5 = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 5 = 5, -40 = -5*k - 3*m. Suppose -k*p = -3*g - g - 1839990, -4*p - 1840008 = 4*g. Round g to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 4 + 11*d + 10 - 10*d. Let x be a(-12). Solve x*w - 16 = 6*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3836 is divided by 27?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 248*h - 14829. Calculate b(61).\nAnswer: 299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -46471*h**4 + 133*h - 435 wrt h.\nAnswer: -557652*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -6*z**2 + 39*z + 2. Let w be h(6). Suppose 0 = -8*y - 268 + 1308. What is the greatest common factor of w and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -3669884\nAnswer: -5\/3669884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*z**2 + 7*z**2 - 3*z**2 - 13*z**2 - 4 with respect to z.\nAnswer: -30*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.589971 rounded to one decimal place?\nAnswer: -7.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*u**3 - u**3 + 8*u**3)*(1 - 4*u - 1) as p*u**2 + w*u**3 + h + r*u**4 + c*u and give r.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4\/7 (b) 8 (c) -0.3 (d) -104 (e) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -110*w**2 + 10*w - 1. Let r(o) = -221*o**2 + 24*o - 2. Determine -5*d(h) + 2*r(h).\nAnswer: 108*h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**4 - 13196*f**3 - 12775668*f**2 - 3839933524*f + 7731075352 = 0. Calculate f.\nAnswer: -1859, -721, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/12*(42\/(-49))\/(27\/(-140))?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 6*i**2 + 3*i + 6. Let v be t(-7). Suppose 2*f = -0*f + v. Solve -c + p = 6*p + f, 5*c - 4*p = 31 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**2 - 7*q. Let s(k) = k**2 + 4*k. Calculate 4*j(a) + 7*s(a).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -81 - -90. Let c = 35 - 0. Calculate the remainder when c is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -223 + 223 + 41*m**2 in the form t*m + k + u*m**2 and give u.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 82 in -1, 11.13, 2\/5, -3?\nAnswer: 11.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-2))\/(((-9)\/(-4))\/9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 4*p - 5. Suppose q - 4 = -1. Let i(r) = -r + 1. Let v be 10\/5*1\/2. Let c(s) = q*i(s) + v*w(s). Differentiate c(o) wrt o.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49932822 divided by 8322137?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -61717\nAnswer: -3\/61717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*r + 3 = 0. Suppose 4*z = l - 2*l + 8, 5*z + r*l - 10 = 0. Determine v, given that 2\/3*v + 4\/3*v**z + 2\/3*v**3 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - a - 3 = 0. Let d = a + 3. Suppose -5*j + 30 + 110 = d. Solve -4*r - j = 4*w, 0*r - 2*r + 6 = -3*w for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-672)\/(-17640))\/(15\/(-35)))\/(1\/(-5)*82).\nAnswer: 2\/369","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6918 - 6918.3. What is the nearest to 2\/7 in y, 0.5, 0.07, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, -66, 0 in descending order.\nAnswer: 3, 0, -5, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 - 8*g**2 + 9*g - 10. Let r be j(7). Let o be (r\/8)\/((-20)\/6). Let q = -103 - -102. Is q greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/43 in 136, 0.3, 2\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2043 - 2060. Which is the biggest value? (a) m (b) 0.8 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -5*c**3 + 23*c - 12*c - 13 - 2*c**3 - 7*c. Let p(i) = -i**3 - i. Let k(w) = -4*p(w) - x(w). Differentiate k(d) with respect to d.\nAnswer: 33*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1026732841?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10523.\nAnswer: 17, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 48160 * -4.8.\nAnswer: -231168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -314*s**3 + 1606*s**2\/3 + 568*s\/3 - 8 = 0. What is s?\nAnswer: -1\/3, 6\/157, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 2*d**5\/19 - 108*d**4\/19 - 1692*d**3\/19 + 6848*d**2\/19 + 18330*d\/19 + 9900\/19 = 0.\nAnswer: -15, -1, 5, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**3 - 5*v**2 + 4*v + 2. Let s(g) = 1 - 20*g**2 - 22*g**2 + 2*g + 3*g**3 - 2*g**3 + 59*g**2 - 20*g**2. Give -3*j(i) + 5*s(i).\nAnswer: -i**3 - 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b + 191*b - 16977 = 6031 - 4608 for b.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30 + 49. Suppose 4*h - 15*z = -f*z + 24, 0 = h + 2*z - 10. What is t in -18\/11*t + 2\/11*t**h + 16\/11 = 0?\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-3 - (5 - (3 - 4))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**2\/z)**(-2\/29)*z**(-5\/8)*z*z*z**(-10)*z assuming z is positive.\nAnswer: z**(-1785\/232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of 1\/120*o**5 + 5\/12*o**4 + 0*o**2 - 1\/360*o**6 + 5*o + 0*o**3 + 0. Let n(g) be the third derivative of u(g). Calculate n(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 21*n - 13. Let l(w) = -8*w - 2 - 3*w + 4 + 5. Let v be (-54)\/24*24\/(-9). Let b(x) = v*g(x) + 11*l(x). Determine b(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3*z**3 + 3*z**2 - 4*z - 2. Suppose 10*t = 25*t - 30. Let g be m(t). What is the greatest common factor of 338 and g?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -173 - -176. Let q(p) = -6*p**2 + 9*p - 1. Let o(i) = 3*i**2 - 5*i + 1. Give y*q(r) + 5*o(r).\nAnswer: -3*r**2 + 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 4*w = x + 32, -x = -2*w + 4. Suppose 4*m - 5*y + 17 = 0, -x*m - m = -y - 5. Solve 4*b - 3*t = -17, -m*t - 6 - 1 = b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -376a?\nAnswer: -376b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -14223 to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 2*d - 3*d = -2, 2*d = 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + q + 0)*(-2*q**3 + 0*q + 0*q) + (-q + 2*q - 6*q)*(3*q**3 - 2*q**3 - 3*q**3) - 3*q**4 - 3*q**4 + 10*q**4.\nAnswer: 12*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 9*c = 4*c - 83825, -3*c = 2*b + 83831. Is (-11)\/(198\/b) + 2\/18 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15810095*n**5 - 1527640*n wrt n.\nAnswer: 316201900*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 59 in descending order.\nAnswer: 59, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1597.7 - 1567.6952. Let x = -30 + z. Round x to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5390913?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**5\/((s\/(s\/(s**(-2)\/s*s)))\/s))**(-1\/30)\/(s**(-4)\/(s*s*s\/(s*s**(-1\/3)))*(s**(-1))**(-26)) assuming s is positive.\nAnswer: s**(-299\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -13330 (base 5) in base 15?\nAnswer: -4ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 67*g - 66*g - 69*g + 197*g - 21.\nAnswer: -5*g - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from uttuut.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -162 - 46*q**3 + 23216*q**2 + 62*q - 23198*q**2 + 352*q.\nAnswer: -2*(q - 3)*(q + 3)*(23*q - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -112*i*m**5 + 40*i*m**3 + 678*i + 2*m**2 - 11*m wrt m?\nAnswer: -6720*i*m**2 + 240*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -587*f + 13042. Let s be a(22). Solve 0 = -17*v - 8 - s for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*q + 310 = -125 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 21. Is 0.2 bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-5 + (3 + sqrt(125)*-3 + sqrt(125) - (sqrt(125) + (sqrt(125) - (sqrt(125) + (sqrt(125) - (-2 + sqrt(125))*3)))))))**2.\nAnswer: -3200*sqrt(5) + 50256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1830637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1413 - 1410. Solve -4*y = -n*y + 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -1125*g - 5289. Let a be f(-6). Which is smaller: a or 1466?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) - 5*((sqrt(162)*1)**2 + sqrt(162))) + -3 + -5 - ((-2 + 2*sqrt(72) + sqrt(72))*3*-6)**2.\nAnswer: -212066 + 23292*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 63979463 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 69, 76, 83, 90, 97?\n\"Answer: 7*b + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17473045\/123 or -142057?\nAnswer: -17473045\/123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c**3 - 71133*c + 124 - c**2 + 5*c**2 + 71135*c to s*c + x*c**3 + d + t*c**2 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7668295330?\nAnswer: 2, 5, 766829533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 102 + -94. Let j(m) = -2*m**3 + 18*m**2 + 2*m - 16. What is the units digit of j(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 240780, 481659, 722550, 963459, 1204392, 1445355?\n\"Answer: a**3 + 240872*a - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*y + 3003 - 1549 - 1454.\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 1:43 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7140 + -7139.9. Which is the closest to z? (a) -0.5 (b) -122 (c) -0.015\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 6*w + 89 - 244 + 83 + 80. What is h(6)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 4*x + 20. Let z = x - 15. What is the units digit of 3\/(-9) + z\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (3 + -5) - (-23 + 16 + 6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + 2*r**3 + 4*r)*(-3 + 2 + 14) - 1151*r**2 - 130 + r**3 + 1151*r**2.\nAnswer: 27*r**3 - 130","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*f + 18. Let g be (3\/f - 2) + -1. Let r be (-4)\/10 + (-12)\/(-55). Which is the closest to r? (a) -0.1 (b) 0 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-9)*(-1)\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -7*p - 17. Calculate y(0).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -132.2 * -6695.\nAnswer: 885079","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23748?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 922097965 to the power of 1\/6, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26357486 or -26357484?\nAnswer: -26357486","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 4*f**2. Let d = 688 - 686. Let m(u) be the third derivative of 0*u + 0*u**4 + 0 - 6*u**d - 1\/30*u**5 + 0*u**3. Give m(b(c)).\nAnswer: -32*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 78 = -4*l. Let b = l + 28. Find the second derivative of 2*g - 11*g + 2*g**b + 10*g**2 wrt g.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1763267*n - 6 + 5.\nAnswer: -1763267*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 658, 696 in descending order.\nAnswer: 696, 658, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 446382 is divided by 446326?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -7 (b) -2 (c) 5 (d) 4\/7 (e) -45\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -11*h**3 - h**2 + 7*h - 5. Let d(z) = 6*z**3 - 3*z + 3. Let s(j) = 5*d(j) + 3*u(j). Factor s(n).\nAnswer: -3*n*(n - 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/7 of a week in days?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 16*t - 1. Let o(g) = 8*g. Let y(k) = -5*o(k) + 2*w(k). Give y(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 171538751?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -169*m**2 - 92*m**2 + 240*m**2 - m**3 + 37*m in the form c*m**2 + h*m**3 + b*m + p and give b.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 8 - 11 + 11 - 2*r. Calculate a(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4389\/99 - (8 - (-56)\/(-12)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 242\/3 - 80. Let n = 1379 - 1383. Put w, n, -3\/8, -0.5 in ascending order.\nAnswer: n, -0.5, -3\/8, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2 + (-3 + 4 + 1)*(3 + 0 - 1))*(-8767*b**4 + 419*b**4 + 649 - 649).\nAnswer: -50088*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -25*c**4\/24 + 11*c**3\/2 - 5*c**2\/2 + 9*c + 124. Let r(x) be the second derivative of z(x). Differentiate r(j) wrt j.\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 97 = 93. Find the third derivative of 136 + 132 - 406 + 143 + 159*p**3 - 6*p**m wrt p.\nAnswer: 954","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 453 is divided by 270.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - (7 + 18 + -8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5 + -2)*(-6)\/7. Suppose -30 = -y + n*y. Let a(f) = -8*f + 7. Is a(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**3 - 3559105*y**2 + 3559105*y**2.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 95537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**2*i)**(-23)*(i\/i**9)\/(i*i\/i**(-3)))\/((i**0)**(-3)*i**(-2\/3)*i*(i\/i**(1\/9)*i)\/i) assuming i is positive.\nAnswer: i**(-749\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.44 - 0.08. Let l = p - -1.55. Let y = l - 1.0207. What is y rounded to three dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6 - -3)\/(24\/(-704)).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 4 - (2880\/156)\/6. What is the third smallest value in r, -3, -7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 597019859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39 + -30 + (33 - 11).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -194 != -192?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1020122 - -11110?\nAnswer: -1002012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5094445 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124238109.\nAnswer: 3, 419, 98837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23\/2, 3\/7, -5747, 1, -33\/4 in increasing order.\nAnswer: -5747, -23\/2, -33\/4, 3\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6c819 (base 16) in base 8?\nAnswer: 1544031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 1860?\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -5*t - 8, 3*t + 195*y = 198*y - 9 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 141 + -125. What is the derivative of -l*w**2 + 11*w**2 + 8*w**2 + 26*w**2 - 16 wrt w?\nAnswer: 58*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 132466 and 18?\nAnswer: 1192194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53, 3, 52355 in decreasing order.\nAnswer: 52355, 53, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 7:04 AM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102 - 101120212?\nAnswer: -101121021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -581 (base 10) to base 7\nAnswer: -1460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 6158\/495507?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -0.233, 7\/5, 8, -5, -0.1 in decreasing order.\nAnswer: 8, 7\/5, 1\/4, -0.1, -0.233, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 464, 462, 460, 458, 456, 454?\n\"Answer: -2*i + 466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 81*-101\nAnswer: -8181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -8*y - 46. Let r be l(-11). What is the highest common divisor of r and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 638 + 973*s**2 + 640 + 328*s**5 - 1278 + s**6 wrt s.\nAnswer: 120*s**3 + 19680*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 0 = 8. Suppose -5 = -5*a, 4*a + 0*a = -p + m. Suppose -4*x + 3*c + 4 = p, 6*c - 40 = -5*x + c. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-72)\/(-10))\/(20\/50). Let r = k - 10. Suppose -3*i + 147 = 2*l, 2*l - 3*i = -r*i + 141. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3 + 0)*(3*y**2 - 2*y**2 - 2*y**2)*(7*y + y - y).\nAnswer: 49*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22*k*t**3 - 29*k*t - k + 301*t**3 - 202*t wrt k.\nAnswer: -22*t**3 - 29*t - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/62)\/((-4)\/158). Let o = 5\/31 + z. What is the common denominator of o and (86\/12 + 4)\/(2\/4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93120 divided by -320?\nAnswer: -291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -78 - -163. Suppose -6*n = -n - z. Is n a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2119, -4185, -6255, -8329, -10407?\nAnswer: -12489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 930?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a kilogram in grams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 9 = 2*a + 1, -2*t = 0. Let u(w) = -183*w + 126. Let o(r) = 92*r - 67. Let p(h) = 11*o(h) + 6*u(h). Is p(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-74*(-55)\/(-40) - 7)\/(-6*(-12)\/(-96))?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 + 60 - 9*-1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*a = -5*o - 5, 4*o = a - 17. Suppose 0 = -a*j - 25, m - 3*j = -5 + 70. Let z = 57 - m. Calculate the greatest common divisor of 35 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/32325 and -82\/10803?\nAnswer: 116402325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*k = 46*k + 15*k - 152*k - 4444 for k.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ac when two letters picked without replacement from {g: 2, t: 5, a: 1, w: 4, c: 4}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of 2*t**6\/45 - 904*t**5\/15 + 102152*t**4\/3 - 92345408*t**3\/9 + 5217515552*t**2\/3 + t + 387. Factor c(k).\nAnswer: 4*(k - 226)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/3171 and -7\/110079.\nAnswer: 770553","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -98552355 divided by -5\nAnswer: 19710471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*d**2 + 3*d**3 - d**2 - 3710 + 2*d - 2*d + 3708 to the form z*d + r + a*d**3 + x*d**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*u - u, -3 = -4*i - u. Suppose 5*s - 3*g = 39, 3*s = 3*g - 2 + 29. Suppose 2*l - 14 = -2*k, 3*l + k - s*k + 11 = i. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/((-40)\/18 + 2). Suppose 4*g + t = -5*y + 99, g = -4*y + 17. Let n = g - 14. List the prime factors of n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 4 = 2*c - 3, 0 = q - 3*c + 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (1102\/1653)\/(1 - 0 - 4)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 9:15 AM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29336 + 17436 = -140*l for l.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1632?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 AM and 12:33 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 101337?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4 - 458*q**3 + 33262*q**2 - 704158*q - 3378648.\nAnswer: 2*(q - 91)**2*(q - 51)*(q + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5030756 - 33?\nAnswer: -5030800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 a factor of 10985?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1646457 and 45?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-15)\/(-20))\/((-22)\/(-16) + -1). Let b = 8 - 8. What is the closest to b in 1, a, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooooooooooovoo. What is prob of picking 2 o?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3528 and 588?\nAnswer: 3528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2126140*w**2 + 4429572.\nAnswer: -4252280*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**2 - 2*c - 1. Let y(s) = -39*s**2 - 42*s - 21. Let d(k) = -126*w(k) + 6*y(k). Let v(i) = 14*i. What is v(d(q))?\nAnswer: 252*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 60, 129, 222, 357, 552, 825?\n\"Answer: 3*h**3 - 6*h**2 + 66*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8387 + 12106. What is the remainder when u is divided by 155?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1454.498 rounded to the nearest ten?\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 3:35 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + 2)*(-7*p + p + 2*p)*(0 - 2 + 3)*(1 + 1 + 0) as v*p + a and give v.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*x**2 + x**2 - 7*x**2 + (-2*x - x + 5*x)*(x - x - 2*x) - 5*x**2 - 2*x**2 + 4*x**2 - 2*x**2 + x**2 + 0*x**2.\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -9*k + 4*k + 13 - 4*k. Is p(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119265 is divided by 87?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/18 and 1 - (-5)\/(-6) - 98\/(-51).\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -24.1945.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-16))\/(3\/(-84)) - 3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 4*c + 384, -5*g + 5*c + 440 = 2*c. Let d(x) = -x**3 - 4*x**2 - 5*x + 3. What is the remainder when g is divided by d(-4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-5))**4\/(w**(1\/9)\/(w*((w*w**(-17))\/w)\/w)) assuming w is positive.\nAnswer: w**(-334\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 1:37 AM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.01 + 5. Let h = a + 0.21. Does h = 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c + 9. Let b be v(-8). Let g(r) = -r**3 + 5*r**2 - 5*r + 9. Let j be g(4). Suppose -u + j = b. Solve -10 = u*y - 3*o + 9, 2*y + 5*o + 3 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 - 33*p + 180. Let c be l(8). What is the remainder when 78 is divided by c\/6*60\/(-40)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09283903 + 5?\nAnswer: 5.09283903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -11 (b) 6.31 (c) 0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -71 - -71. Suppose -2*m - 1 - 1 = k, 2*s - 11 = m. Suppose 5 = 4*p - p - 2*z, p + s = 4*z. Solve -p = -3*j + 3 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**3 + 2*l**2 - 1099*l - 3309. Calculate n(-3).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-2\/7)*q**7*(q**(-9)\/q)\/q**(-1\/8)*(q*q**(-3\/8))\/q*q**2*((q*q\/(q\/q**(2\/5)))\/q*q)**(-5\/16) assuming q is positive.\nAnswer: q**(-221\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.61 minus 18.2365?\nAnswer: -10.6265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -0*f - 24. Let c be (-2)\/f - 22\/(-8). Suppose 2*t - 66 - 35 = -c*k, 0 = -3*t + 2*k + 158. What is the greatest common factor of t and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*v = -14052 + 2471. Let z = 313 - v. Solve z = -l - 2 + 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.1, 414, -4, 0.5, -6\/7 in decreasing order.\nAnswer: 414, 0.5, -0.1, -6\/7, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 q when three letters picked without replacement from llllllqllq.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 8 - 16)*(1 + 0 - 2)*(0*u + 4*u - 10*u) to y + i*u and give i.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - 0)*3\/(-2). Suppose o - 4 = -o. Suppose 4*k - o = 2*t + 6, 4*k = -4*t + 20. Sort a, -2, t in ascending order.\nAnswer: a, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54, 66, 64, 42, -6, -86, -204?\nAnswer: -366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l + 24*l + 16*l + (4 + 2*l - 4)*(2 + 1 - 1))*(0 + 0 + 1)*(0*l - 6*l + 4*l).\nAnswer: -98*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*f - 15 = 92*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 8. Let n = q - -12. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {r: 1, x: 2, k: 1, g: 2, j: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.8 + -2. Let g = -1.2 - -0.6. Let n = -2.6 - g. What is the nearest to b in n, -0.5, -2\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/11 (b) -0.5 (c) -5 (d) -1\/53 (e) -2\/13 (f) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 a factor of 43825625?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*c - 7*c. Suppose 5*j + 3*f - c = 0, 5 = -j - 2*j + f. Let b(q) = -q - 3 + 3. Give b(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.24020074 to two decimal places.\nAnswer: -7.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/6)*d**4\/d*d*d)**27 assuming d is positive.\nAnswer: d**(261\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1072 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-1))**(19\/2))**(-5)\/((y\/(y**(1\/2)*y))**(-9))**(-3) assuming y is positive.\nAnswer: y**(27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.069239 - 0.06876601. Round t to five dps.\nAnswer: 0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3410*y + 3567 with respect to y.\nAnswer: 3410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -725197*t**2 - 725016*t**2 + 1450207*t**2.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -315 (b) 2\/19 (c) 3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of p**3\/3 + 2*p. Let t(j) = j**2 - 1. Let o(w) = 6*w**2 - 4. Let q(g) = -o(g) + 4*t(g). Determine r(q(n)).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from {r: 1, n: 3, x: 6, b: 4, a: 2, w: 4}.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5275037656.\nAnswer: 2, 7, 281, 335221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 150961 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 9*d = 308 - 233. What is the closest to -9 in 4, d, -5\/4, 6?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*f = -24*f + 12496. Calculate the highest common factor of f and 506.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(77) + sqrt(77) + 2*sqrt(77) + sqrt(77))*5 + -1*sqrt(77)*-2)\/(-5*(sqrt(175)*1 - sqrt(7)))*-3.\nAnswer: 3 + 81*sqrt(11)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 2 a, and 1 h when four letters picked without replacement from ddhaazdzzaa?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -10) + -5 + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from klfjjflxjfffkaljffaf. Give prob of sequence kjkl.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 s when three letters picked without replacement from xssxx?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6122809 to the power of 1\/3, to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*i**5\/7 - 195*i**4\/7 + 972*i**3\/7 - 201*i**2 + 42*i = 0. What is i?\nAnswer: 0, 1\/4, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 d when two letters picked without replacement from dvdc.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -0*s + 4*s. Suppose -16 = -3*h - 16. Solve 2*x + s*x - 25 = h for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 3*x**2 - 5*x + 4. Suppose -14*p + 10*p - 2*i + 14 = 0, 3*p + 4*i - 13 = 0. Suppose 0 = 4*f - 3*f - p, -5*a + 4*f = -3. What is q(a)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -r - r - 2, 0 = 2*r + 4. Suppose -19 + 63 = l*t. Is 17 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000599890523 rounded to six dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1*sqrt(832) + -3 + sqrt(832) + -5 + (((0 + sqrt(832))*-3 - sqrt(832))**2 - sqrt(832))*2 + 4)*-6.\nAnswer: -159719","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fwttttqq. What is prob of picking 1 w and 2 t?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33 - -11) + (-442)\/(-17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1083527 + -19338466.\nAnswer: -18254939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -3*v**3 - 11*v**2 - 5*v + 7. Let b(t) = -4*t**3 - 11*t**2 - 6*t + 6. Let h(d) = 4*b(d) - 5*s(d). Let a be h(11). Solve -w + a = -4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -184 - -3?\nAnswer: -181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + (-5)\/(-1) - ((-357)\/(-28) - (17 + -7)). Let p = 1\/3 - 8\/33. What is the nearest to -0.05 in -1\/2, p, s?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - q)*(-3*q**2 + 3*q**2 + q**2) + (0 + 4 - 5 + 0 + 4 - 2 + (4 - 1 - 1)*(-3 - 2 + 3) + 3 - 1 - 3 - 2 + 2 - 3)*(3*q - 3*q - 2*q**3).\nAnswer: 13*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of -8*j**7\/21 - 13*j**4\/12 - 11*j. What is the third derivative of k(s) wrt s?\nAnswer: -960*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 107 + 4*a + 108 + 4*a**2 - 3*a. Suppose 0*u - 4*u = 0. Suppose u*p - q + 18 = 5*p, -4*p + 3*q + 22 = 0. Give r(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 743*k**2 - 47. Let h(b) = -149*b**2 + 10. What is -14*h(v) - 3*q(v)?\nAnswer: -143*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204816832 is divided by 7661.\nAnswer: 7658","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 5:37 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 288*d + 272*d - 498*d = 1860 for d.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 493*c**3*f**3 - 7*c**3*f - 3*c*f**3 + 7*c*f**2 - c - 2*f**2 wrt c.\nAnswer: 2958*c*f**3 - 42*c*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -29 (b) -0.4 (c) 1 (d) -7529 (e) -1 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25359.\nAnswer: 3, 79, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 1 + 0 - (-82 - (20 + -52)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.08? (a) -0.06 (b) 0.1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -49*w**2 - 876*w + 44. Determine c(-18).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 455 is divided by 91.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6308292856 - -0.4?\nAnswer: -6308292855.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -155*i - 24624. What is x(-159)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -128 + 1004*s + 1076*s - 2103*s + (-2 - 1 + 1)*(3*s - 4*s + 0*s).\nAnswer: -21*s - 128","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by 54.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -13*w + 16*w - 3*w - 4*o, 3*o = -4*w + 40 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*3*sqrt(288)*-2*3*6)**2*-6.\nAnswer: -503884800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 p when three letters picked without replacement from {p: 10, l: 3, r: 2}?\nAnswer: 27\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7723125 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.73703 (b) -2\/3 (c) 0.1 (d) -13 (e) 0 (f) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 92?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/1824 and -101\/60.\nAnswer: 9120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2254519 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**5 + b**2 - b**2 + (2*b**2 - 6*b**2 + 3*b**2)*(-3*b**3 + 7*b**3 - 2*b**3) - 18*b**5 - 12*b**5 - 26*b**4 + 26*b**5.\nAnswer: -5*b**5 - 26*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 125214814 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -24*j - 103. Let s be o(-5). Solve 2*q + 2*k = 8 - 2, 3*q - s = k for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 104*k**3*v**2 - 2*k**2 + 51*k*v**2 wrt k?\nAnswer: 624*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 9\/5152?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2 = 4*l + 5, -3*q = -4*l - 1. Suppose -3*y = 2*y - 365. Let d = -366\/5 + y. Are d and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 34, 65, 96?\n\"Answer: 31*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 2828240?\nAnswer: -2828239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of 0*c + 7*c**2 - 1\/15*c**5 + 0 - 1\/20*c**6 + 0*c**3 + 1\/12*c**4. Determine l so that y(l) = 0.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, m: 2, p: 2}. Give prob of picking 1 p and 2 m.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*l**3*n - 3*l*n + 381*l + 98818*n wrt l.\nAnswer: 15*l**2*n - 3*n + 381","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 18715\nAnswer: 5614.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 2*d = 7*o - 25190, 2*d = 5*o - 62987. What is the thousands digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11501 (base 7) to base 6.\nAnswer: -21502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -88*c**3 + 50*c**3 + 48*c**3 - 8*c to k*c**2 + l + g*c + q*c**3 and give q.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 53, 100, 147, 194?\n\"Answer: 47*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1030 at least 1027?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 73310?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/1 + 2 + 7. Let w be (-1 - -13)\/(4\/6). Let r = w + z. Does 6 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*n = -515, 1555 = 3*l - 7*n + 3*n. Do l and 522 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3296750280.\nAnswer: 2, 3, 5, 173, 158803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, -4, -1.06, -1\/4, 194, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zqqqzqqqqqqqqqzqzqqz. Give prob of picking 2 z and 1 q.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 440 - -49. Suppose -2*x + 5*f + 373 = 0, 0 = 5*x + 3*f - l - 366. Is x a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t**5 - 14634*t**4 - 781476*t**3 + 58536*t**2 + 3125952*t = 0. What is t?\nAnswer: -4824, -54, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, x: 2, l: 9, e: 1}. What is prob of sequence qx?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-3)\/21*(-145)\/(-928) and -23\/28.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 23477804 - 5?\nAnswer: 23477799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qlbjjbbbqjbljlbjbl. Give prob of sequence bq.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from csccsctcscxsscs. Give prob of picking 1 s and 1 c.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -603 divided by -67\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5*((-4)\/(-22) - (-102)\/165). Suppose -5*y = o*g + 135 - 652, -4*y + 424 = -2*g. What are the prime factors of y?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -311003555 (base 6) to base 4.\nAnswer: -110132020133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*i - 1)*(38 + 6 + 19)*(-5 + 2 + 5)*(5*i - 5*i + i**3).\nAnswer: 252*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 7*i**2 + 11*i + 13. Let n be o(-6). Let w = 9 - n. What is the greatest common factor of w and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + k = -2*r - 2, -2*k = -7*r - 55 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + -34. Calculate the smallest common multiple of (-158)\/s + (-10)\/(-45) and 7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 - 5*q. Let c be j(-4). Suppose 5*z = -c*p - 7, -2*z = 5*p + 4 - 8. Suppose -15*s + 16 = -74. Solve -s = -p*g + 4 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264 is divided by 91?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-9)*u)\/u**(-1\/4)*(u\/u**(2\/5))**(-25))**(12\/5) assuming u is positive.\nAnswer: u**(-273\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + i + 16. Suppose -39 = -i*l + 57. Suppose d + 2*d - 4*h - 5 = 0, 0 = -2*d - 2*h + 8. Calculate the highest common factor of l and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*k = 518 + 122 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6292090 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -89361, -160783, -232205, -303627, -375049, -446471?\nAnswer: -517893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(110)*2 + sqrt(110) + sqrt(110))*-2 + (sqrt(110) - (sqrt(110) - 1*sqrt(110)*6)))\/((sqrt(1440)*-2 + sqrt(1440))*-6))**2 + 3.\nAnswer: 3899\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 4*a - 0 - 5, 4*a + 5*q - 9 = 0. Let o be (2 - a - (0 + -3))\/1. Solve 7 = -2*l - y + o*y, -5*y + 15 = -4*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 9558, 9551, 9544?\n\"Answer: -7*r + 9565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -705 - 2?\nAnswer: -707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-4))\/(7\/(-21)*45\/(-150))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 42, 32, 0, -60, -154, -288, -468, -700?\n\"Answer: -i**3 - 5*i**2 + 12*i + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -214 + 212 - (2 + 0 - 25)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*f**2*h**3 + 9*f**2*h**2 + 25*f**2 - 146*f*h**2 + 23*f + 3*h wrt h?\nAnswer: 72*f**2*h + 18*f**2 - 292*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q - 254. Let j(n) = -n**2 + 18*n + 1147. Determine t(j(p)).\nAnswer: -p**2 + 18*p + 893","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 288*m - 301. Is 50 a factor of d(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 6*g - 7. What is the highest common factor of 8 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**4\/25 + 19774*w**3\/25 - 14258*w**2 + 1287818*w\/25 + 332808\/5 = 0. What is w?\nAnswer: -9905, -1, 7, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38002, -36400, -34798, -33196, -31594?\nAnswer: -29992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -6*y**2 - 5*y - 8. Let o(u) = -5*u**2 - 5*u - 8. Let m(c) = -6*f(c) + 7*o(c). Give m(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l. Let r(g) = -149*g + 1192. Let q(h) = -h + 4. Let c(u) = -298*q(u) + r(u). Give j(c(a)).\nAnswer: 298*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 264\/(-48)*(1\/(8\/(-12)))\/((-54)\/(-8))?\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40514 (base 6) to base 2.\nAnswer: -1010011111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + l**4 - 14*l**2 - 2 - 19*l**2 - 39*l**3 + 51*l**2 - 19*l**2 to the form f*l + n*l**2 + v*l**3 + d*l**4 + t and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -33*t**3 + t**2 + 2*t + 1. Let g be a(-1). Let f = g - 23. Suppose 4*u = f*u - 30. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43 - -92. What is the remainder when o is divided by 616\/24 - (-2)\/6?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -36. Let z = -31 - g. Solve z*c - c = -3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 - -0.02390362937045.\nAnswer: -8.97609637062955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37 - 6 + 36)*(-131 + 3*w - 8*w - 272 + 7*w + 83).\nAnswer: 134*w - 21440","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**2 + 1128132*n\/7 - 161162\/7 = 0. Calculate n.\nAnswer: -80581, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10.63755 millennia to centuries.\nAnswer: 106.3755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -0.035?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) 0.1 (c) 0.5 (d) -0.37 (e) 3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -1617?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 350 and 178784?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.6 - 1.6. Let i = -57.4 - -57. Let m = 0.35 + -0.25. What is the fourth smallest value in y, i, m, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 156\/(-24)*12\/(-2). Suppose 3*j + 26 = 4*j. What is the greatest common divisor of j and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.74331g?\nAnswer: 0.00000074331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -14*o**3 + 4*o**2 + 3*o + 4. Give q(-2).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of 4\/3*g**3 - 3\/2*g**2 + 1\/4*g**4 + 1 - g. What is the remainder when t(-3) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2817250 divided by 1408625?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 524240302 to the nearest integer?\nAnswer: 22896","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -s**4\/12 + s**3\/6 + s**2\/2 - 2*s. Let y(u) = 8*u**2 - 7*u - 4. Suppose -11*t - 6 = -17*t. Give t*y(g) + 6*n(g).\nAnswer: 2*g**2 - g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (52\/(-6))\/(17\/9 + -2). Let w(s) = x - 78 + s. Let f(j) = -7*j. Determine f(w(c)).\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -17*g**3 + 9*g**2 + 9*g - 37. Let z = -675 - -684. Let h(o) = -4*o**3 + 2*o**2 + 2*o - 9. Determine z*h(a) - 2*j(a).\nAnswer: -2*a**3 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -525 in increasing order.\nAnswer: -525, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 820410*t - 2*t**3 - t**3 + 821327*t - 1641737*t.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2 = 5*u - 4, 4*u + 2 = -d. Solve d*s + 12 = 3*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47443016.\nAnswer: 2, 251, 23627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15914 and 436?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/223 and -1\/11.\nAnswer: 2453","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of 41*y**4\/12 - 20*y. Let w(s) = -s. Determine w(v(r)).\nAnswer: -41*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -2 + 3 + -5 + 1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 142 and 41870617?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 335 and 9.\nAnswer: 3015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*sqrt(245))**2.\nAnswer: 980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 322964*l + 117 - 12*l**2 - 322964*l.\nAnswer: -12*l**2 + 117","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 6) in base 2?\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of 0*u + 31*u**2 - 1\/42*u**7 + 0*u**4 + 1\/8*u**6 + 22*u**3 + 0 + 0*u**5. Differentiate v(y) wrt y.\nAnswer: -20*y**3 + 45*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*y**4 + 49993*y**3 - 20870*y**2 + 483*y wrt y?\nAnswer: 120*y + 299958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 2*h + 460 + 376, -n = -8*h - 369. Calculate the remainder when 443 is divided by n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/426 and 139\/3408.\nAnswer: 3408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4434552, 4434518, 4434486, 4434456, 4434428?\nAnswer: 4434402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -228, -230, -230, -228, -224?\nAnswer: -218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2145 - -2150. Suppose -6 = 3*d, -d + 4 = 2*l - 2*d. Which is the smallest value? (a) 0 (b) w (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 557, 544, 523, 494, 457, 412, 359?\nAnswer: 298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*g + 134 + 31. What is the remainder when 30 is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*w**3 + 2*w**3 - 4*w**3 + (3*w + 1 - 1)*(3*w**2 + 3*w**2 - 4*w**2)*(-4 - 1 + 3).\nAnswer: -22*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-257)\/6 - (-7)\/(-21). Let i = j - -43. Which is the second biggest value? (a) i (b) -0.2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -2. Let x(z) = 4 - 4 - 111*z + 106*z. Determine x(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -704876347.6 rounded to the nearest one hundred thousand?\nAnswer: -704900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -53056 or -614?\nAnswer: -614","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 157733399?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1959?\nAnswer: 3, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7971787.\nAnswer: 7971787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 9*x**2 + 11*x - 6. Let u be d(-8). Let g be 57\/5 - u\/(-75). Suppose 3*w - 5*n = -n + g, -3 = -w + 2*n. Solve 2*i - w = 3*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 1. Let q(g) = -g + 1 - 4 + 5. Let s(i) = 4*o(i) - 3*q(i). Suppose 3*v = -v - 4*b + 24, 6 = 2*v - b. Let c(h) = -5*h + 4. What is v*c(t) + 7*s(t)?\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/684 and -23\/76.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-18)*(-9)\/(-18).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/8)\/(12\/(-4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 314535 + -2?\nAnswer: 314533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 4:27 PM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -9*o - 2*o - 2*o + 4. Let u(g) = -19*g + 9. Suppose -8 - 4 = -4*q. Let j(h) = -10*h + 5. Let r(t) = q*u(t) - 5*j(t). What is -6*n(w) + 11*r(w)?\nAnswer: w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84236 is divided by 547.\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 4*k**2 + 12*k - 6. Let u(f) = f**2 - f + 1. Let n(o) = l(o) + 5*u(o). List the prime factors of n(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 20\/7 (b) -4 (c) 5 (d) 2\/21 (e) -2782 (f) 1 (g) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a (base 15) to base 8.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(-3 - 2*-4). Let h(m) = m + 1. Determine h(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -9076.9 (b) -3 (c) 40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 11) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.67 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -102, -83, 126, 597, 1402, 2613?\n\"Answer: 12*c**3 + 23*c**2 - 134*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -8 + 6 + -3 + -1. Let t be (6\/9)\/(22\/j). Which is the nearest to -1? (a) -0.4 (b) 1\/5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 5*d = 64969, -5*q + 26472 + 54773 = 5*d. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*q + 4*q - 4*q)*(-2 + 1 + 0).\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + 4 - ((32 - -10) + -19)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 9*p**2 - 11*p + 11. Give w(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14*s - 16 + 16)*(68804*s - 69184*s - 1 + 1) to f + x*s + v*s**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10 - (22 + (-448)\/8). Calculate the greatest common divisor of x and 803.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*m - 1. Let d = -3 + 8. Let z = 0.14 - 0.1. Sort m, d, z in descending order.\nAnswer: d, z, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27bd0d (base 14) to base 5.\nAnswer: -323033210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -33867321 plus 4959?\nAnswer: -33862362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 8*k**3 + 6*k**2 + 6. Let b = 50 + -51. Let g(c) = -c**3 - c**2 - 1. Let p be (-629)\/102 - (-4)\/24. What is b*n(o) + p*g(o)?\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + ((6 - (16 - 1)) + 6 - (-50 - -1)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 74404935649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -435 - -438. Suppose 3*p + 1264 = 5*w - 413, c*p = -w + 339. Which is smaller: w or 337?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**5 - 1435*s**4\/4 - 44663*s**3 - 6262509*s**2\/4 - 17030853*s - 15509529 = 0 for s.\nAnswer: -42, -19, -1, 1851\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-95808)\/10479)\/(10\/35)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*q + 567 = 751 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 5. Suppose 3*r - 5 = 2*r. Suppose 5*l = r*p - 10, 0*p + 4*p = -4*l. Which is the nearest to 0.2? (a) 0 (b) d (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19890134 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2080 = -5*b + 6*v, -2*b = v - 844. Let n = 52 + -47. Suppose 5*m + l - 2*l - 396 = 0, n*m + 5*l = b. What is the greatest common factor of 20 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*(12\/8 - 3). Suppose 2*g - 15 = -3*t, -a*g = -t - 0*t - 6. Suppose 7 = g*j - 32. What is the lowest common multiple of 5 and j?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (-44 + 13 - -18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2732, -5473, -8212, -10949, -13684?\nAnswer: -16417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/7)\/((-43)\/512302*-296)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + 303a?\nAnswer: 3040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k\/(k\/(k*k*k**18*k)))*k*k*k**(1\/9)*(k*k\/(k*(k\/(k**(1\/12)*k))\/k))**4 assuming k is positive.\nAnswer: k**(-86\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21 take away -1.932646?\nAnswer: 1.722646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -262 - -253 - (1 + -2 + -12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 5*w - 13 = -t, t = 2*w - 8. Let f = 11 - 6. Suppose -4*s = -0*j - w*j + 8, 5*s - 25 = -f*j. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/15 in 1\/14, -226, 0.2, -8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -406 - -755. Suppose 0 = -6*c + v - 331. Solve -2*r + 5*l = 2*r - c, -2*l + 10 = 4*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11453997?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 3*t = 33, -23*t - 45 = -5*o - 26*t. What is the greatest common factor of o and 294?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8777551469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 - 11*p + 1. Let c(t) = -2*t**2 - 23*t + 3. Let k(n) = 6*c(n) - 13*h(n). Suppose 54*u - 488 = 148*u + 76. Calculate k(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*c - 2. Suppose -c*q + 4*q = 0. Let z be 10\/(0 - (2 + -4)). Solve q = 3*u - 12, 2*o + 0*u = z*u - 12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 16 = -12*k. Let f(u) = 3*u**3 + 4*u**2 - 2*u + 2. Let b(l) = -3*l - 2. Let x be b(-1). Let s(j) = j**3 + j**2 - j + 1. Determine k*s(v) + x*f(v).\nAnswer: v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 16972.97239 rounded to the nearest 10?\nAnswer: 16970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 4*d - 25. Let g(w) = -4*w + 9*w**2 - 3*w - 3*w + 4*w**3 - d*w**3 + 2. Is 10 a factor of g(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3261*o - 1615*o = 1666*o + 1440 for o.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seventeen quarters of a minute?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -0.099?\nAnswer: 0.495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 2\/19, -2, 3\/13, 3\/7 in descending order.\nAnswer: 3\/7, 3\/13, 2\/13, 2\/19, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 4*g + 4. Let t(a) = -a - 1. Let l(n) = -j(n) - 3*t(n). Suppose 101 = 36*w + 353. Determine l(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -101001011111?\nAnswer: 101001100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - f**2 + 22. Suppose 5*j - 4*l + 4 = 0, 2 + 3 = 5*l. Suppose j = 3*o - 0*o. What is the remainder when 42 is divided by i(o)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.9148 times 97?\nAnswer: -1446.7356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from awwllgawgaca?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 102, 202, 302?\nAnswer: 402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 99*a - 35*a - 31*a + 3. Suppose 5*y = 3*m - 3, 36 - 12 = 5*m - 2*y. List the prime factors of i(m).\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 174*a + 517*a**3 + 170*a + 1167*a**2 - 1165*a**2 in the form n*a**2 + q*a + s*a**3 + b and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61860 is divided by 68.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -42659553, -170638233, -383936033, -682552953, -1066488993, -1535744153, -2090318433?\n\"Answer: -42659560*p**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 11, 16, 0, -3, -9, -17 in descending order.\nAnswer: 16, 11, 0, -2, -3, -9, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*d**4 - 1023*d**2 - 3166*d wrt d.\nAnswer: -48*d**2 - 2046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 150777220?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1015 or -140?\nAnswer: 1015","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 50797\/4 - 152071\/12. Determine q so that -2\/3*q**4 + 8000\/3*q + j*q**3 - 400*q**2 - 20000\/3 = 0.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 180 by -45.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.66 + 0.16. Let d = -1 - h. What is the closest to 2 in 3, d, -1\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17859*((-28)\/(-12))\/7 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.08? (a) -2\/2085 (b) 1 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 170b (base 15) to base 8\nAnswer: 11541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of -5*i**4\/12 - 8*i**3\/3 + 2*i**2. Let k(g) = -g + 54. Let t(u) = -37. Let v(n) = -2*k(n) - 3*t(n). Give 3*r(s) + 16*v(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -4*m. Let r(k) = -37*k - k**2 + 37*k - k**2. What is r(t(o))?\nAnswer: -32*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -230 + -2?\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19 by -22.\nAnswer: -19\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of -z**3 - 2*z + 132. Let s(u) = -31*u. What is s(m(n))?\nAnswer: 186*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000186887642 rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 148, 0, -8\/17, 4.\nAnswer: -8\/17, 0, 4, 148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 6:43 AM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxh when three letters picked without replacement from pvhwgxx.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -44*w**2 - 1353*w. Let c(n) = n**2. What is j(c(h))?\nAnswer: -44*h**4 - 1353*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 6*s**2 + 10*s - 4. Let l be q(7). Solve -l = -2*i + 3*p, -4*p - 5 = -2*i + 15 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 12*g**2. Suppose 9*b - 6*b + 48 = 0. Let j = -14 - b. Let x(s) = -9*s**2 + 3*s**2 + 4*s**j. Determine x(w(u)).\nAnswer: -288*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**3 - 25*p**2 - 14*p + 17. Let a be o(13). Suppose -5*s - j + 5 = -s, -s - 2*j = 4. Sort a, s, -1.\nAnswer: -1, s, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 287163*c**2*f**3 + 4*c**2*f**2 - 2*c**2 - 785*c*f**2 wrt f.\nAnswer: 1722978*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2756.9 + -2759. Sort j, 0.5, -6, 1, -4 in ascending order.\nAnswer: -6, -4, j, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(70\/(-4))*-1*(-1540)\/(-616).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -92.665?\nAnswer: 46.3325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2678719 (base 10) to base 4\nAnswer: -22031332333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 20308, 80876, 181690, 322750?\n\"Answer: 20123*s**2 + 199*s - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-6))\/(4\/(-240)). Let u be 20\/p + (-2)\/3. What is the third derivative of u*j + 2*j**6 - j + 6*j**2 + j wrt j?\nAnswer: 240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiii. What is prob of sequence ii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 25745 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1368445\/42 - 32579. Find the common denominator of j and 278\/3*((-27)\/84)\/9.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/51)\/(34\/(-255)). Suppose 2*f + o = 131, 119 = -0*f + 2*f + 5*o. Let a = 67 - f. Is v <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 269.8 (b) -1 (c) -0.3 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6329000 rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 175 - 872\/5. Which is the nearest to -0.1? (a) -2 (b) 1\/4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11288291 is divided by 7785.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 2.5, -4, 1\/6?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + (63 + 2484\/(-48) - (-2)\/(-8))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -29834, -44916, -59998, -75080, -90162, -105244?\n\"Answer: -15082*j - 14752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11606 - -11610. Let m be 3\/(2\/(2 - 0)). Suppose -m*k + 15 = -12. Is d bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 49 = 234. Suppose -19 - h = -4*q. Let z(x) = 2*x**2 - 10*x - 9. What is the remainder when z(8) is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 9 = -5*m, 84 = 15*m + m + l for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 58219816 to the nearest integer?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17535\/3600)\/7 + (-16)\/120?\nAnswer: 9\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) -21 (c) -35 (d) -3\/4 (e) -2838 (f) 1 (g) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 168, 342, 518, 696, 876?\nAnswer: 1058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3073189 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3991, 7980, 11971, 15964, 19959, 23956?\n\"Answer: y**2 + 3986*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -470, -712, -954, -1196, -1438, -1680?\n\"Answer: -242*n - 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - 3*h. Let a(z) = -24*z**2 + 20*z**2 + 0*z - 8*z. Determine 3*a(n) - 8*d(n).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -712792, -2851049, -6414774, -11403967, -17818628?\n\"Answer: -712734*r**2 - 55*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.48 * 249034\nAnswer: 119536.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 2 + 4 - (-23 - -21)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(35)*1)\/(sqrt(28)\/sqrt(4)*-5).\nAnswer: -sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**2\/3 - 680984*r\/3 - 1361960\/3 = 0. What is r?\nAnswer: -340490, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16.9 - -4.9. Let r = -11.6 - h. Which is the second biggest value? (a) r (b) -3\/4 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 69 (b) 1\/11 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - (-74 + (-3 - -2)). Suppose 5*r = 5*i - 130, 2*r + 18 + 84 = 4*i. Calculate the greatest common factor of v and i.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 10, r: 10}. Give prob of picking 2 f and 1 r.\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + 2 + -3 - -15. What is the highest common factor of 119 and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31.24 - -31.54. What is the third biggest value in 52, 3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*b - 60*b - 89 + 45*b + 7 to i + a*b and give i.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 140 and 27160.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 5:04 AM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -1\/2 (c) -2\/7 (d) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5910, -11873, -17836?\n\"Answer: -5963*x + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 500 and 134500.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -x + 159. Suppose -2*v + 5 = -23. What is the smallest common multiple of (-1)\/3 + x\/42 and v?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 689806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 7*m = -s + 55, 3*m + 183 = 3*s. Suppose 81 = 9*v - 0*v. Let c = s + v. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 53983, 108008, 162031, 216052, 270071?\n\"Answer: -d**2 + 54028*d - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 8*h**2 - 6*h + 4. Let o be d(-7). Let l(k) = 3*k + 2. Let r be l(o). Let c = r - -12. What is the highest common factor of 2 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**3 - 4*j**2 - 4*j. Let h be (-2)\/(-3) + 182\/42. Let r(v) = -3*v**3 + 5*v**2 + 5*v. Give h*o(s) + 4*r(s).\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1189, -1496, -1803, -2110, -2417, -2724?\nAnswer: -3031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3694*(6\/16)\/(182\/28 + -8). Which is smaller: 0.1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 981600.1kg?\nAnswer: 981600100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**4 - 3 + 3 + (6*f + 3*f + f)*(-f + 2*f + f)*(f**2 - 2*f**2 + 3*f**2).\nAnswer: 38*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2001211331 + 22?\nAnswer: 2001212013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 3*x + 9, 33 = -k + x. Let a be 2\/(-3) + (-6504)\/k. Let i be 4\/(-18) + 64\/a. What is the biggest value in -2\/9, i, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5 + 1 - -10) + 221\/(-39). Which is the nearest to 0? (a) -9 (b) 2\/3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 6:37 PM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 19405289997 - 0.4?\nAnswer: 19405289996.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -8\/7, 1\/4, -2, -1, 0.3 in decreasing order.\nAnswer: 0.3, 1\/4, -1, -8\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 3)*(3 - 1 + 0)*(0*b + 4*b - 2*b)*(0*b + 2*b - 3*b).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39 - 34.6. Let v = 0.6 + j. Let l = 58\/9 - 107\/18. Which is the second smallest value? (a) 3 (b) v (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(187) + -1*sqrt(187)))\/(sqrt(11) + -6*sqrt(22)\/sqrt(2)))**2 - (4 + 1 + -1 + sqrt(68) + 0).\nAnswer: -2*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p**2 + 98 + 6*p**3 - 98 + (6*p**2 - 2*p**2 - 3*p**2)*(1 + 5 + p - 4) in the form l + z*p**3 + o*p + h*p**2 and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + 0\/(-1) - -20. Let h = y - 14. Does 7 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1932917651855 + 26.\nAnswer: -1932917651829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 127 divided by 51\nAnswer: 127\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 364 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -261416 - 329444 - 7697 = 4154*w - 70999 for w.\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 1 + 1\/4*y**2 - y = 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21000303 - 11?\nAnswer: -21000320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + s + 1)*(-23 + 10*s + 23)*(1 + 2*s - 1) to b*s**3 + z + u*s**2 + v*s and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10460400 divided by 15.\nAnswer: -697360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 5*y**2 + 280*y - 1525 = 0.\nAnswer: -61, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/7 + 694*z\/7.\nAnswer: z*(z + 694)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-339)\/226*(-1)\/((-6)\/(-7772)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3103002 + 1013?\nAnswer: 3110021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1165508260 rounded to the nearest one hundred thousand?\nAnswer: 1165500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -48. Let o = g - -299\/7. Let s = -8\/23 + 70\/69. Is o bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f = 4*f + 48. Suppose -4*r + r - f = 0. Put -1, 0, r in increasing order.\nAnswer: r, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u - 1. Calculate the remainder when -3*60\/36*-1 is divided by t(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 0*d**2 + 1 - 2*d**3 + 3*d**3 - d**2. Let o(m) = 361 + 5*m**2 - m + m - 367 - 4*m**3. Calculate 2*o(x) + 10*v(x).\nAnswer: 2*x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -2*f + 11 - 3, -3*f = -5*b + 14. Suppose -z - 12 = -c - 4, -4*c + 35 = -z. Suppose c*y - 9 = 8*y. Solve -b*g + g = -y for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3149 - 3163.21. Let f = b + 14.22381. What is f rounded to 3 dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -989, -993, -1009, -1043, -1101?\n\"Answer: -d**3 + 3*d - 991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 744*k - 15 = 741*k, 4 = 2*x - 2*k for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/7)\/(48\/84). Let n = -1 + 3. Let q = -3 - n. Which is the smallest value? (a) o (b) 1\/5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {d: 6, x: 4}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3318803?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 201458, 201468, 201478, 201488, 201498, 201508?\nAnswer: 201518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of 3\/10*x**6 - 9\/4*x**4 + 0*x**2 - 2*x**3 + x + 3\/2*x**5 - 1. Factor o(n).\nAnswer: 3*n*(n - 1)*(n + 4)*(3*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*n = 19*n - 8695. Let y = 240 - n. Solve 0 = -2*c - y*t - 22, 0*c - 2*c + 10 = -3*t for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10 and -200?\nAnswer: -2000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*q**3 - 6*q**3 + 10*q**3 + 13*q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/56 and 17\/70.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away -0.00577?\nAnswer: 4.00577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 349400 and 550.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 742609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.25 and -12?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, p: 15}. Give prob of sequence ppbb.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25757 (base 12) to base 4.\nAnswer: -30133303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + -9. Let m(u) = 63*u**2 - 27*u - 36. Let d(p) = 9*p**2 - 4*p - 5. Let l(y) = f*d(y) + 2*m(y). Find z such that l(z) = 0.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 8, u: 2}. Give prob of sequence pu.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 - 2\/(((-268)\/(-335))\/(12\/10)). Let s(q) = 20*q**3 + 3*q**2 + 3*q. Let t(g) = 79*g**3 + 11*g**2 + 11*g. Give j*t(b) + 22*s(b).\nAnswer: -34*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-five eighths of a day?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(((-8)\/(-6))\/(-4)). Let m be 1*(52 - (t - 2)). Let j = m - 35. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 46 - 47. Let s = b + -25. Suppose -s*w = -4*x - 4*w + 80, x = 3*w + 15. Is 7 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-4) - (4 + 49\/(-12))*3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 4) + -15 + 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 700\/(-8820) - 6\/42.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 488.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3178*k = 7944 + 42904 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7106062.1 rounded to the nearest 100000?\nAnswer: -7100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) -9.6 (b) 1 (c) 0 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 - -22. Sort 1, -1, j.\nAnswer: -1, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5185.065l in millilitres?\nAnswer: 5185065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.727 times -6.1\nAnswer: -4.4347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 566 at least 567?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 + 8395?\nAnswer: 8363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 6109 - 6109 = -124*v. Sort -1\/2, -13, 6\/13, 0.5, v in ascending order.\nAnswer: -13, -1\/2, v, 6\/13, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16996886 and 202.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -19041f (base 16) in base 15?\nAnswer: -225b70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3*i + 16. Suppose -32*y = -28*y - 20. Let u be z(y). Suppose 0 = -9*h - u + 1. Solve -2*a = 2*t + 10, t + 3*a + 5 = -h*a for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 20 = v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -4\/3, -2\/5, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7130393306 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -10200 (base 4) to base 3\nAnswer: -101200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2040\/16320*(0 - 2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23\/36 + -1\/9. Let d = 27567 + -27569. What is the nearest to d in -0.1, 0.1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 2*h**2 + 2*h + 4. Let z = -10 + 17. Calculate the remainder when k(3) is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 237\/(-553) - ((-27)\/21)\/(-3).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21.5 - 22. Let d be (-3)\/(-6)*(-2)\/4. Which is the closest to d? (a) t (b) 0.3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 8*q - 6. Let v be p(6). Let l(g) = 124*g - 1225. Let t be l(10). What is the greatest common factor of t and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/21*(-105)\/(-980).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = 4*k - 14 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 284 - 279. Solve -15 = -x*t + 4*c, 26 = -t - 2*c - 3*c for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + 107)\/((-8)\/(-952)*7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of 91*s**6\/24 + 50*s**3\/3 + 256*s**2 + s. Find the first derivative of h(l) wrt l.\nAnswer: 1365*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 at most as big as 361936?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of -2\/3*i**3 - 3 + 0*i + 0*i**2. Let l(s) = s**2 + s**2 - 5*s**2. Calculate l(v(g)).\nAnswer: -12*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -43, -170, -435, -886, -1571, -2538, -3835?\nAnswer: -5510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*z - 33. Let o be (10\/(-3))\/(4\/(-12)). Let u be 14\/o - z\/30. Solve 0 = -u*c - 0*c - 2*g, -15 = -3*c + 2*g for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39399424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.03 - -2.03. Let v = 14369 + -14372. Which is the nearest to 0.09? (a) v (b) 0.5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 277 + -276.912. Let s = -0.088 + k. Which is the nearest to s? (a) -0.5 (b) 13 (c) 2\/7 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -19718, 5 in descending order.\nAnswer: 5, 3, -19718","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 113 = -3*c, -127 = 3*c + 4*h + 4. Let v = c + 43. What is the smallest common multiple of 20 and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -111 + 113. Let q be i\/(-7) + 12\/(-84). Let l = 0.2 - 0.2. What is the nearest to -1 in q, -0.3, l?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of -d**5\/100 - d**4\/40 + d**3\/5 - 6*d**2. Factor c(q).\nAnswer: -3*(q - 1)*(q + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 186909 by -62303.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 113594931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -v**2\/2 - 5*v\/2 + 18 = 0.\nAnswer: -9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7242160911 to the nearest integer?\nAnswer: 1935","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 335.324 to the nearest ten.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*n + 2*n - 4*n + (2 + 2 - 2)*(2*n + n - n))*(6 + 7 + 6) to c + f*n and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7}. Give prob of picking 2 a.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -144.206 + 144. Let u = 0.112 + k. What is u rounded to 2 dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0112256759 to 4 decimal places.\nAnswer: 0.0112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**4\/7 + 37342980*d**3\/7 + 174312269410050*d**2\/7 = 0.\nAnswer: -9335745, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24220?\nAnswer: 2, 5, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3675125 and 125.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1219032977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 9*u**2 + 12*u - 12. Does 14 divide i(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 582 - 585. Let z = 13.4 - -2.9. Let b = z - 17. Put -3\/4, j, b in ascending order.\nAnswer: j, -3\/4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3 + 48288*t**2 + 145684884*t - 291562952.\nAnswer: 4*(t - 2)*(t + 6037)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) 53 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1117, 1129, 1141, 1153, 1165, 1177?\nAnswer: 1189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 55\/28?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 4*h - s, -3*h - 9*s + 11*s + 18 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5257724 to the power of 1\/3, to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 35, -322 in descending order.\nAnswer: 35, -3, -322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9182518.\nAnswer: 2, 281, 16339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 3*l + 68 = 52, 11 = 4*k - 3*l for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -55 + 94. Let a = 21 - x. Let s = -18.045 - a. Round s to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1298\/(-60) - 1*7\/35 and 55\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 4*f + 106. Let i be b(-26). Suppose 25 = -i*s + 7*s. Let v(m) = m**3 - 6*m**2 + 6*m - 2. What is v(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1999925 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 - p**2 + 0*p**2)*(1105 - 514 + 885)*(3 + 4 - 6).\nAnswer: 1476*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + s - 3*s)*(36 - 36 - 7*s)*(0*s**3 - 2*s**3 + 0*s**3).\nAnswer: -28*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - 5\/60*-425. Let c = j - 30. Calculate the common denominator of 41\/48 and c.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2242 is divided by 569?\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -0.2, -2\/25, 15, 2\/11 in descending order.\nAnswer: 15, 2\/11, -2\/25, -0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/((p\/(p**(-1\/3)\/p)*p)\/p)*p*p*p*p*p**(-5\/3)\/p assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12001122 (base 3) to base 11.\nAnswer: -2854","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 5*k - 201, -5*k + 6*k = o + 37. What is the tens digit of 181\/3 + 26\/k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 172722388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7084 = -7342*t + 7650*t for t.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 107 + -107.074. Let w = x + 0.0306. Round w to three decimal places.\nAnswer: -0.043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddmdmddgmdydydddmdyd. Give prob of sequence yg.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5144837 is divided by 16704.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i**2 + 6*i**2 + 29 - 25 - i**2 + 648*i - 6*i**2 to o + k*i + a*i**2 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1102598.87 rounded to the nearest one thousand?\nAnswer: 1103000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-160)\/70)\/8)\/((-104)\/1001)?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2119*n**2 + 2081*n**2 - 2 - 4198*n**2 + 344*n - 1160*n in the form z*n + w*n**2 + d and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3 - 38*f**2 - 13202*f - 339562.\nAnswer: 2*(f - 101)*(f + 41)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 223120 (base 4) to base 6\nAnswer: 20504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -12 (b) -0.5 (c) -80\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1436894.\nAnswer: 2, 19, 37813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2 + 17943870*t + 26831872548075.\nAnswer: 3*(t + 2990645)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 8:49 AM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48*r**2 - 14*r**2 - 13*r**2 - 15*r**2 - 7*r**2 - 153*r to p*r**2 + b + k*r and give k.\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -80*p - 18. Let w(n) = -93*n - 18. Let j(f) = -6*w(f) + 7*x(f). Let g(u) = -4*u - 37. Determine 2*g(q) - 5*j(q).\nAnswer: 2*q + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 198 + -369\/2. Let q = -1226 - -1232. What is l in 24*l + q - g*l**2 = 0?\nAnswer: -2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3*p - 1761 = 0, -10*p = -9*p + 2. List the prime factors of n.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 35*n**2 + 94*n - 66. Give j(-32).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -6210*n - 261 + 154 + 107 as j + d*n and give d.\nAnswer: -6210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of h**4\/12 - h**3\/18 - 2*h**2\/3 - 1844*h. Let t(o) = 0. Calculate o.\nAnswer: -1, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52576260 and 42180.\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -168\/59 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 3*z = -70 + 75, 6*y = 4*z - 18 - 22 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/50 and 17\/5.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -2\/13, 297\/13, 1, 2 in decreasing order.\nAnswer: 297\/13, 2, 1, 0.2, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6.34, 0.05, -1\/3?\nAnswer: 6.34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 2537305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*b + 2 + 0*b - 3)*(0 + 9 + 1)*(5*b - 4*b - 2*b) to k*b + o*b**2 + s and give o.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**3 - 4*x**2 + 5. Let z be ((-2)\/6)\/((-2)\/(-18)). Let d(t) = 2*t**3 - 3*t**2 + 4. Give z*w(l) + 4*d(l).\nAnswer: 2*l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1460 - -1467. Solve 27 = -2*l - w*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67 + 9*v**3 - 26*v**2 + 53*v**2 - 27*v**2 - 14.\nAnswer: 9*v**3 + 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 469.4762l to millilitres.\nAnswer: 469476.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(((s*s*s**(2\/17)*s*s)\/s*s)\/s*s)*s*s)\/(s**(-1\/5)*s))\/(s\/(s**(-3)\/s))**(-18) assuming s is positive.\nAnswer: s**(7487\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 11) to base 5.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 18 = i - 5*f, -5*i + 119 = f. What is the highest common factor of i and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*2*sqrt(104)*-4)\/(sqrt(16)\/((sqrt(8) - sqrt(392))*-1)*1).\nAnswer: 96*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 - (-41 - -21) - 12.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -18*n**2 + 10*n + 44. Let h be a(-6). Let k = 1049 + h. Is 55 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7728711849?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 111, 114, 127, 156, 207, 286, 399, 552?\nAnswer: 751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 20*l**2 - 37*l + 43. Let n be t(-22). Let r be (174\/8)\/(n\/(-24) - 5). Which is greater: r or -56?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -2*i**2 + 22*i. Let g(y) = y + 1. Calculate 4*g(c) + t(c).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 486 is divided by 136?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -104*h**3 - 50*h**2 - 19*h + 4. Let b(i) = 103*i**3 + 40*i**2 + 18*i - 3. Give -4*a(o) - 5*b(o).\nAnswer: -99*o**3 - 14*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -439 - -795\/2. What is the common denominator of 97\/3920 and a?\nAnswer: 3920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -6, -3 in descending order.\nAnswer: 5, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 37*j**2 - 44*j - 195. Is n(34) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 339830 and 34306?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 8*b**2 - 12*b + 2. Let s(t) = 3*t**2 - 4*t + 1. Determine 4*l(g) - 11*s(g).\nAnswer: -g**2 - 4*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = a - 769, -21*q + 19*q - 3*a = 395. Which is greater: q or -2126\/11?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37103 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 - 21.9. What is the third smallest value in 4, 0.5, -4, f?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = r - 4*d + 4, 2*d + 8 = 4*r. Suppose 1482 = 3*v - 3*j, -414 = -2*v + r*j + 564. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v**2\/5 + 9144382*v\/5 - 6096252\/5 = 0.\nAnswer: 2\/3, 1524063","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 + 240. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {g: 3, q: 1, r: 4}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 21693536 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*q - 16*q = -0*q + 140 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -324*f + 82*f = 189*f + 17240 for f.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -u, a - 246 = 4*a + 3*u. Let q = a - -26. Let k be (-228)\/q + 2\/10. Solve -k*y = -y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j**4\/3 + 104*j**3\/3 + 676*j**2\/3 = 0 for j.\nAnswer: -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 37578956?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 12*l**2 + 13*l - 1. Let n be t(11). Suppose -22*j + 58 = -n*j. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 0.1, -4\/7, 0, -11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -1531*w + 44392. Calculate s(29).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 55354 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*p - 1031844 + 1031844.\nAnswer: 80*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000247417225 rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*l - 18 - 27 = 23*h + 5, 0 = -h + l + 15 + 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 8 = -4*k, -6 = -5*n - 0*n - k. Let w be (-1)\/n + 5\/(-2). Does 8 divide ((-6)\/5)\/(1554\/520 + w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p + 10*p = 110. Sort 1, p, -5.\nAnswer: p, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1278 + 4.8722. What is the closest to 2\/3 in 2, j, -2\/5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -77548957*a**3 - 49227542*a**2?\nAnswer: -465293742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -28.94 and 5.\nAnswer: -144.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46 or -21.12?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -234505, -468841, -703175, -937507, -1171837?\n\"Answer: o**2 - 234339*o - 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k - 34. Suppose -263 - 155 = -22*s. Let z be i(s). Solve -2*d = -4*d - 2*u + 10, -4*u = -4*d + z for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11\/3 - -15. Calculate the common denominator of y and (-36)\/(-11) + 8\/(-44).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*m + 188872 = 96*m. Let d(z) = -228*z - 47218 + m. Let g(q) = -q**2. Calculate g(d(a)).\nAnswer: -51984*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000524429 rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) -0.05 (b) -1.4 (c) -745\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19138.9 - 19139. What is the nearest to u in 3, -5, 0.06, 0.5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 237831?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 178686?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 4*j = -0 - 17, 5*m - j + 59 = 0. Let x = 17 + m. Suppose v + x = -0*v. Let u(h) = h + 3. Determine u(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2 + (sqrt(132) - (sqrt(132) - ((sqrt(132) + 1*sqrt(132))*3 - sqrt(132))))\/(sqrt(11) - (sqrt(11) - 2*sqrt(176))))**2.\nAnswer: 15*sqrt(3)\/2 + 219\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 40681 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25751 by 2341.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/152 and (8\/(-6) - (-2209)\/(-188))\/19?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50053113, 1, 2.\nAnswer: -50053113, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 980?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/104 and 7\/416.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 3:25 PM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 425411 - 236409093.2?\nAnswer: -235983682.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q = -5*q - 15. Suppose -24*m + 19*m = 5*w - 20, q*m + 25 = 0. Is 9 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -2*f**3\/3 + 200000*f - 23. Let a be i(0). Round a to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-30)\/8)\/(-5))\/((-45)\/8*4)?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 - 26. Suppose 3*h = -h. Let r(j) = -j**2 - 5*j - 4. Let k be r(-3). Solve -o + k*o - m = h for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (0 + sqrt(343) - sqrt(343)) - ((sqrt(343)*-2 - sqrt(343)) + -1)**2.\nAnswer: -3086 - 42*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (25\/13 - 2)\/1. Let h(o) = -o**2 - o - 14. Let u be h(0). Let z be 10\/(-45) - u\/(-18). Which is smaller: z or v?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 2:24 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 16 = -4*v - 0*b, -5*b = -2*v + 20. Suppose z - j - 9 = 0, v*z + 0*j = -4*j + 27. Let u = 85 - 57. What is the greatest common divisor of z and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + (-2 - -2 - 4*-1). Suppose -4*p + 5*p - m = 0. Let k(x) = -x**2 + 5*x + 2. Let g be k(p). Put -4, -10, g, -2 in decreasing order.\nAnswer: g, -2, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2412 - -113374\/47. Which is smaller: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3112 + -21?\nAnswer: -3133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22654 is divided by 4496.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-3 + sqrt(153) + sqrt(153))**2 - sqrt(153)) - ((sqrt(68)\/(sqrt(4) + sqrt(20)\/sqrt(5)))**2 + -3).\nAnswer: -78*sqrt(17) + 4963\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 27 = 15. Let h = 30 + o. Which is greater: 7 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2011954 is divided by 165?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yjjb when four letters picked without replacement from {y: 9, b: 4, j: 3}.\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2508, -2526, -2526, -2502, -2448, -2358?\nAnswer: -2226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -4, 714, -2, 87, -5 in descending order.\nAnswer: 714, 87, -2, -4, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, 2, 1, -26.3?\nAnswer: -26.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 5*f**2 - 5*f. Let q be l(-4). Let p(x) = 268*x**2 + 2*x + 4. Let n be p(q). What is n rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 291\/190 - 3\/95. Sort -0.2, 4\/3, v, 2\/5.\nAnswer: -0.2, 2\/5, 4\/3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 238509, 239914, 241319?\nAnswer: 242724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -h**2\/4 + 15035*h\/4 + 15037\/2 = 0.\nAnswer: -2, 15037","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - 1. Let c be (z\/6)\/((-6)\/9). Let g(j) = 5 - 5 + c*j. Let h(w) = 2*w**2. Determine h(g(b)).\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 v when two letters picked without replacement from gntvlvltnlvvtnvvo.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -293 - -297. Calculate the greatest common divisor of h and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 3\/2 (b) -4 (c) -2\/13 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 o when two letters picked without replacement from bboobkokzkokbobo?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 5, -0.5, -440 in descending order.\nAnswer: 5, -0.1, -0.5, -440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -358+643\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -1592 + 96. Let r = -50 + 84. Calculate the greatest common divisor of a and r.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*v + 15*v + 3301220 = 36*v. Round v to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -78 by 3.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of h**6\/360 + h**5\/120 - h**4\/12 + h**3 - 3. Let i(r) be the third derivative of y(r). Give i(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2 - -17) + 10 + -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -378*a**2*c**2 + 3*a**2 - 75*a*c wrt c?\nAnswer: -756*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 38b + 1953?\nAnswer: 2122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l. Let t(w) = 2*w**3 + 1. Let c be t(-1). Let g be h(c). Let q = -22 - -23. What is the third biggest value in g, -3, q?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (1 - 0) - ((-12 - -40) + -29)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4016 = 5*a - z, -z = -a + z + 796. Is 10 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 42262 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*q**2*r**2 + 10*q**2*r - 10573*q**2 - 6946*q - 122*r**2 wrt q?\nAnswer: 10*r**2 + 20*r - 21146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 2:31 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -735.\nAnswer: 2\/735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/4)\/(-21*60\/1080).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -35558, -35556, -35554?\n\"Answer: 2*u - 35560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 + 0.8. Let m be 1450\/15 + 4\/(-6). Let n = 670\/7 - m. Which is the closest to n? (a) 0.1 (b) -2\/19 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -17.9\nAnswer: -8.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1233 - -1283. Solve 48*t - 6 = w*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 134\/(-650) - ((-29792)\/1960 - (-15)\/1). What is the nearest to 1 in v, 2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-207)\/(-12))\/((-15)\/(-40)) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1617, -1634, -1655, -1674, -1685, -1682, -1659?\n\"Answer: l**3 - 8*l**2 - 1610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vk when two letters picked without replacement from mmkxoev.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1465, -5760, -12919, -22942, -35829?\n\"Answer: -1432*q**2 + q - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07 * -2470366.\nAnswer: -172925.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1868*w - 3730*w - 2*w**2 + 1862*w.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*x - 3 - 1 + 3 + (x + 3*x - x)*(-2 + 2 - 1) to the form l*x + g and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 + -32. Let r(t) = -t**3 + 9*t**2 - t - 16. What is the remainder when r(5) is divided by ((q - -3) + 3)*8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-880)\/352)\/(2*15\/(-288))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tvvuvuqvdvvvud. What is prob of sequence qt?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 359115*v**5 + 1229*v - 41 wrt v?\nAnswer: 7182300*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -17142755 (base 9) to base 7\nAnswer: -133005653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + 2 + 1 + 3. Suppose 0 = -2*a + o*a - 30. Let t = 58 - a. Calculate the remainder when t is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 3*a - 39655, -3*j = -2*a - 3300 - 26437. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - -17 - (-19 - -17). Let s(m) = m + 8. Let k be s(-5). Suppose l = k*a + 9 + i, 0 = -3*l - 2*a + 32. What is the remainder when l is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 7*c - 4. Give k(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x\/(x\/x**0))\/x*x)**(1\/35)\/(x\/x**(-9\/2)*(x**(-13)\/x)\/x) assuming x is positive.\nAnswer: x**(667\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 8636 = -2*f, -3*f = -3*z + 3941 + 4690. What is the hundreds digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -5 - 4*n**3 + 3636*n - 3636*n - 2*n**2 + 0*n**2 + 0*n**2. Let p(y) = -y**3 - y**2. Determine -a(z) + 2*p(z).\nAnswer: 2*z**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 427847?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 81011?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -14266350 (base 8) in base 7?\nAnswer: -36350366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 791 = -0.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0 - (22 + -31 + 23)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 0*k + 3*n = 38, -10 = -2*k + 4*n. Let w(t) = -13*t - 7. Let r be w(-7). Calculate the lowest common multiple of ((-2)\/(-6))\/(r\/81 + -1) and k.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 42*d**2 + 105*d - 1103. Does 91 divide o(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 12*t**2 - 20*t - 55. Let r be v(-13). Which is bigger: r or 173\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {h: 1, e: 7, w: 2, s: 6, o: 3}.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (45 - -5) + -85 + 99\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 12:29 AM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -717*m**2 + 16 + 721*m**2 - 18. Let c(s) = -15*s**2. What is l(c(j))?\nAnswer: 900*j**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of 1\/10*p**5 - 6*p + 0*p**4 + 1\/2*p**2 + 0*p**3 + 0. Differentiate t(x) wrt x.\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.488 + 539582.6.\nAnswer: 539583.088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1231662?\nAnswer: 2, 3, 131, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 2:25 AM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 49*o + 1128. Calculate r(-23).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 506910 a multiple of 366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 6*(sqrt(17)*-3)**2 + -3 + sqrt(136)\/sqrt(8).\nAnswer: sqrt(17) + 919","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 207 - 81 = 0. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20880473.2 rounded to the nearest 10000?\nAnswer: 20880000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: 10004350 (base 6) to base 14\nAnswer: 74550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/13 in 0, -0.4, -87?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*6.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47 + -47. Solve 7*i + 1 + i**2 - 19 + f + 10 = 0.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 3655 + 4205. Let v be -2 + -1 + (-951)\/3. Let p = v - c. What is p rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 AM and 12:07 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14995 is divided by 75?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2328342 to the nearest integer?\nAnswer: 1526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36502 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48.78202g to micrograms.\nAnswer: 48782020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220022210120012 (base 3) to base 12.\nAnswer: 43b541b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -65*n**2 + 4 + 118*n**2 - 57*n**2.\nAnswer: -4*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/8 and 32\/112 + (-173)\/(-56).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4188792 plus -8594?\nAnswer: -4197386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/35 and 41\/195.\nAnswer: 1365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 + 8*t**2 - t**3 - 8*t**2 + 60 - 39.\nAnswer: -t**3 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 53797449 a multiple of 201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -166 or -489?\nAnswer: -166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-132)\/14 - 45\/(-105). Let c be (-2 - k) + (0 - 3). Solve c*t = 8*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 456358 or 912717\/2?\nAnswer: 912717\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(1\/4)*v*(v*(v*v**(-5\/3)*v*v)\/v*v)\/v)\/(v\/v**(1\/3))**(-1\/8) assuming v is positive.\nAnswer: v**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.3842 + -1.368. Is 1 bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -13*k. Let h(x) = -6*x - 115. Let j(m) = -5*m - 137. Let r(y) = -6*h(y) + 5*j(y). Calculate r(b(v)).\nAnswer: -143*v + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36 + -27. Suppose 2*j + 3 = r. What is the second derivative of -16*b**3 + 5*b**3 + 4*b - b**j wrt b?\nAnswer: -72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 711, 1404, 2097, 2790, 3483, 4176?\nAnswer: 4869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4*2\/(-16)*10. Which is the second smallest value? (a) -0.1 (b) 4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**4\/11 + 608444*w**3\/11 + 41364666*w**2\/11 - 84554672*w\/11 + 42581560\/11 = 0.\nAnswer: -304154, -70, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 512462 - 1884215 = -9*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 77 + -55. Suppose 55 = -0*x + 3*x - 2*k, x - y = -3*k. Calculate the greatest common divisor of 209 and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -280900 to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 19 + -9 - 1*-2. Let o(i) = -4*i. Let h be o(-3). Calculate the greatest common factor of h and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 1667*m - 44 = 1671*m, 2*m + 14 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -104 + 58. Let w = 317.46 - 271.5. Let p = u + w. Sort -3, -0.1, p, 0.2.\nAnswer: -3, -0.1, p, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 4, -2*p - 98*v + 688 = -99*v. Calculate the greatest common divisor of 45 and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 87 - 86.984. Let u = y - -3.984. Let m = -6 + 9. What is the nearest to 2\/7 in m, u, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 319591007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (14\/(-32))\/((-1)\/4). Suppose 10 = -3*f + 2*d + 14, 0 = 3*f + 2*d - 8. Factor -1\/2*h - j*h**3 + 0 - 9\/4*h**f.\nAnswer: -h*(h + 1)*(7*h + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 9*q**2 - 12*q - 10. Let i be 68\/6 + (-2)\/6. Let p be a(i). Calculate the greatest common factor of p and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139121 != 139122?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12359, 12363, 12357, 12335, 12291, 12219?\nAnswer: 12113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6831856 (base 10) in base 11?\nAnswer: 3946969","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + z - 25. Calculate c(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3680 and 85790.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4 + -1*(-6*sqrt(475)*1 + sqrt(475))*6*6)**2*3.\nAnswer: 21600*sqrt(19) + 46170048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1354158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.04 or -4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 224772780?\nAnswer: 2, 3, 5, 37, 103, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 1 = -5. Let d be 88\/6 - s\/(-18). Solve -7*i + d = -2*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2\/7 + 786*s\/7 - 51483\/7.\nAnswer: -3*(s - 131)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (10 + (-8 - -8)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 - 33 - 26 - 80*f + 85 + 9.\nAnswer: -80*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.16 - 2.89. Let c = p - -1. Let y = c - -0.05. Sort y, 2, 4 in decreasing order.\nAnswer: 4, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1654.296 meters?\nAnswer: 165429.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + -15.00065. What is t rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1210.84 + 6852672962\nAnswer: 6852674172.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 67*y**3 - 84*y**2 + 2*y - 18. What are the prime factors of o(6)?\nAnswer: 2, 3, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -8*j**3 + 9*j**2 - 106*j. Let k(n) = n**3 - 2*n**2 + n. Let l(h) = -b(h) - 5*k(h). What is the second derivative of l(z) wrt z?\nAnswer: 18*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37.3 - -39. Let l = 3.6 + k. What is l rounded to zero decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -4 - (14 - 11).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**3 - 178*s**2 + 446*s + 462. Let o(k) = 3*k**3 - 217*k**2 + 447*k + 462. Let l(r) = -5*j(r) + 4*o(r). Find y, given that l(y) = 0.\nAnswer: -21, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 744 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 3*f - 16 + 9.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1883, 3762, 5655, 7568, 9507, 11478, 13487, 15540?\n\"Answer: p**3 + p**2 + 1869*p + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91 divided by 2050.\nAnswer: 91\/2050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2140.00923 + -2140. Round o to four decimal places.\nAnswer: 0.0092","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4*o + 141524 = 0, f = 5*o - 2*o - 47168. What is f rounded to the nearest one thousand?\nAnswer: -47000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21.3 - -21. Suppose 2*z - 4 = z. What is the nearest to 2\/7 in k, -1\/4, z?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 7*v**3 - 5*v**2 + 4*v - 5. Let i be ((-1)\/1)\/(3\/(-6)). Suppose -6*k + 8 = -i*k. Let t(a) = 3*a**3 - 2*a**2 + 2*a - 2. Give k*u(q) - 5*t(q).\nAnswer: -q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -33004507?\nAnswer: -33004502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1313126 - 2613?\nAnswer: -1316042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -200 - -1?\nAnswer: -1dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/3*72\/(-4). What are the prime factors of 2 + -2 + -1 + g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l = -131 + 721. Suppose l*t = 53*t + 90. Calculate the least common multiple of 12 and t.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/3*-10*(-108)\/(-72)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 36644 (base 7) in base 14?\nAnswer: 36cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 7 - (28 + -30).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -6*o**2. Let d(j) be the second derivative of -23 - 11\/6*j**4 + 0*j**2 - j + 0*j**3. Determine u(d(f)).\nAnswer: -2904*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*j**2 + j + 3 + 5 - 8 - 46*j**2 as r*j + p*j**2 + w and give p.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 5*w**2 - w + 4. Let j be -4 - (-1)\/((-1)\/(-9)). Let r be z(j). What is the units digit of (-35 - 1)*(0 + r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 1201707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + j)*(-3*j - j**2 + 3*j) + (0*j - j - j)*(-4*j - j**2 + 4*j) + 4 + j**3 - 4 + 0*j**2 + j**3 + 0*j**2.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 44671988 divided by 8818?\nAnswer: 5066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 73624378?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.921 - 7.921. Which is the third smallest value? (a) x (b) -0.1 (c) 1\/4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of q**5\/20 + 7*q**4\/12 + q**3 - q**2\/2 + 2*q. Let v be b(-6). What is the tens digit of 3 + 8 - (1 + v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*w - 2210 = 105*w. What is the nearest to -1\/5 in 2, 1, w, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkqccccdcqnkdckdqk. Give prob of sequence cnck.\nAnswer: 5\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + -4. Let i = 253 - 184. Suppose -i*x = -68*x - 11. What is the least common multiple of j and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vtgtggvvwgvvggvtvv. What is prob of picking 1 t and 1 v?\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 2:56 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2505953?\nAnswer: 17, 147409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 13 (c) -0.8 (d) -414 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1777024?\nAnswer: 2, 13883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + -8 - (15 + -8)) + (-58 - (-1 + -2)).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4193 + 4192. Let y(j) = -2*j**2 - 6*j + 4. Let t(d) = -d + 1. Give i*y(n) + 5*t(n).\nAnswer: 2*n**2 + n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -320 = -9*k + 38*k + w, 12*k + 3*w = 7*k - 2*w - 60 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1195003913 rounded to the nearest 100000?\nAnswer: -1195000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 5*o + 4. Let p = o + 3. Let j be (-2600)\/(((-21)\/6)\/p). Round j to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 - ((-9 - 2) + (1 - 1) + 6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 3269?\nAnswer: 3269","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f + 45*f**2 - 91*f**2 + 49*f**2 - 68*f)*(-2 - 7 - 2).\nAnswer: -33*f**2 + 803*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/c**(-2\/23)*c**(-12\/11))**(-8\/3))**(6\/7) assuming c is positive.\nAnswer: c**(-576\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214*n + 3852 = -428 for n.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1084546675 to the power of 1\/3, to the nearest integer?\nAnswer: 1027","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 + 1 - 1)*(37*n + 23*n - 32*n)*(6 + 7 - 4)*(-3 + 2 - 2).\nAnswer: -1512*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vlr when three letters picked without replacement from {e: 3, l: 2, r: 3, v: 1, j: 4, a: 3}.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/219, -1\/7, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -40271*d**3 + 13*d**2 + 13*d + 122409813?\nAnswer: -120813*d**2 + 26*d + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tq when two letters picked without replacement from {n: 2, i: 4, t: 5, q: 4}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-5195)\/(-7273))\/(1\/7)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(-3 + 3 - 5 + 1 - 5 + 2 - 1 + 2 + 0 + (2 + 1 - 5)*(-3 - 4 + 6) + 2 - 4 + 3 - 5 + 1 + 2 + 0 + 0 - 2)*(6 + 1 - 11)*(-52 + 52 + 32*w).\nAnswer: 1792*w","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -31 - -30. Which is the closest to y? (a) 4 (b) -2\/13 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xjjx when four letters picked without replacement from xxjxxxjxxxxjjj.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - p**2 - 3 + (3 + p - 3)*(1 - 1 - 2*p) + 0*p + 0*p + 2*p**2 + 3*p**2 + 0*p**2 - 4*p**2 - 87*p**2 - 72*p + 0*p + 88*p**2.\nAnswer: -p**2 - 72*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-1 + sqrt(11))*-5)**2*5.\nAnswer: -350*sqrt(11) + 1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3688*f + 1925*f + 1058*f.\nAnswer: -705*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6651.4144+-0.85\nAnswer: 6650.5644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1426, -1404, -1384, -1366, -1350, -1336?\nAnswer: -1324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**5\/2 - 41*q**4 + 1009*q**3\/2 - 1974*q**2 + 2448*q = 0. What is q?\nAnswer: 0, 3, 8, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 22519, 22532, 22519, 22468, 22367?\n\"Answer: -2*r**3 - r**2 + 30*r + 22492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/4*-1*(4368\/(-130))\/21?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of 10*i**2 - 3*i + 271. Let t(x) = -19*x + 2. Calculate 3*t(r) + 2*u(r).\nAnswer: -17*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2894839 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, b: 1, y: 5, n: 3, e: 2}. What is prob of picking 1 w and 1 b?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zjvjlzvvzjz. What is prob of picking 1 v and 1 j?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(8) + 0)**2.\nAnswer: 8*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -3*l. Let j be (-36)\/(-20) - 6\/(-5). Let s(k) = -5*k. Let x(u) = j*s(u) - 4*m(u). Let z(h) = 0*h + 3*h + 5*h - h. What is z(x(r))?\nAnswer: -21*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 260 + -243. Let x(q) = -6*q + 176. What is the remainder when 292 is divided by x(n)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**2\/g*g)\/g)\/g**(-1\/7))\/(g**(-1\/5))**(-16) assuming g is positive.\nAnswer: g**(-72\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 12:54 PM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 4*d - 12*d. Suppose q = 3*k - 5, 5*k - 1 + 6 = -d*q. Let i be -5 - 46*k\/(-12). Are i and 2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*u**2 + 4*u**2 + u**2.\nAnswer: 11*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1299796298278+0.08\nAnswer: 1299796298278.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19629.000039203 + 19629. What is q rounded to 7 decimal places?\nAnswer: -0.0000392","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6381824*a**4 + 2813040 wrt a.\nAnswer: -25527296*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + -197977071.41725.\nAnswer: -197977070.41725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-1*(1 + sqrt(637) - sqrt(637))*-1 - ((1*sqrt(1872) + 5)*-3 + 4)**2.\nAnswer: -16971 - 792*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 4*x**3 + 9*x**3 + 6*x - 7*x**3 to o*x**2 + w*x**3 + y*x + q and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 360*o - 23046. Determine p(64).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -346, -342, -348, -370, -414?\n\"Answer: -p**3 + p**2 + 8*p - 354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(800)*-1*2.\nAnswer: -40*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**3 + 0*v + 0*v + (6*v**2 - 3*v**2 - v**2)*(26*v + 15*v + 11*v) in the form l*v**2 + o*v + n + h*v**3 and give h.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -10*q - 2000 - 1972 - 3*q**2 + 3985. Let k(v) = v**2 + 3*v - 4. Calculate -2*c(b) - 7*k(b).\nAnswer: -b**2 - b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - h**2 - 1. Let o be l(-2). Let t be ((-26)\/(-6))\/((-1)\/o). Let w = 30 + t. What is the remainder when 32 is divided by w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g - 3. Give n(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, 5, -0.01, -4\/7, -0.4, 1058?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 6 + 5 + -7 + 102 + 0\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4320)*3)\/(sqrt(30)\/sqrt(5)*2).\nAnswer: 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 13*g**3 - g**2 - 2*g. Let k be p(2). Let d = -45 + k. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17575065 divided by -2385\nAnswer: -7369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5 and 0.6684?\nAnswer: 1.1684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/17 + (-651)\/(-1054))*-18.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200102 (base 4) to base 12.\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + ((-156)\/16)\/((-310)\/120 - -1).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 29 = 47. Let s = l + -10. Let t be ((-13 - -7) + 5)\/(2\/(-10)). Solve -t*x = 4*h - h - s, -4*h - 14 = -2*x for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3377911836?\nAnswer: 2, 3, 13, 23, 139, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**3 - 5*a**2 - 3*a + 121. Let d(n) = n**2 + n - 1. Give c(k) + 5*d(k).\nAnswer: 2*k**3 + 2*k + 116","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 2*t + 4 = -2*t, -5*n - 2*t = 2. Suppose 3*r - 4*r - 4 = 0, n = -5*l - r + 16. Suppose -l*k = -4*d - 3852, 0*d - 2875 = -3*k - 4*d. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 4 + 3)*(13*t - 3741*t**2 + 3741*t**2 + 4*t**4) to the form f*t + w + j*t**4 + z*t**2 + k*t**3 and give f.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 877 is divided by -80*(-5)\/(-70)*-7?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g - 6. Let k be d(5). Suppose -2*z - 5 = -3*z. Which is smaller: z or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjujjuujojjcfjojjjj. Give prob of picking 4 j.\nAnswer: 143\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -y + 1, y = -m - 4 + 1 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 7) to base 16\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence elll when four letters picked without replacement from eleell.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -455*g*z**2 - 346*z**2 wrt g.\nAnswer: -455*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/84733104 and 41\/4773696.\nAnswer: 338932416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 2:20 PM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3948, -15817, -35600, -63297, -98908, -142433?\n\"Answer: -3957*u**2 + 2*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000009297 rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0034 + 0.9966. Put g, 3, -22\/5 in decreasing order.\nAnswer: 3, g, -22\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4711 - 5546. Put -2\/3, 1, h in decreasing order.\nAnswer: 1, -2\/3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6480 and 8964?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 11*g**2 + 11*g + 16. Let z(c) = -2*c**3 + 21*c**2 - 22*c - 33. Let p(i) = 5*o(i) + 2*z(i). Let r be p(12). Factor -4\/7*u - 2\/7 - 2\/7*u**r.\nAnswer: -2*(u + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 11, 10, -3, -34, -89, -174?\nAnswer: -295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/((-12)\/944*2). Let j = v - -350\/3. Let o = 279 - 279. Do j and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21309 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 726 - 498. Suppose 63 = t + d. Do t and -165 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*d**3 - 26*d**3 - 34*d**3.\nAnswer: -73*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-4) + 70\/4)\/(99 - 100)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -395, -436, -503, -596, -715, -860?\nAnswer: -1031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112110 + -1010?\nAnswer: -120120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1693 - -3143. Suppose 4*y - r = 3*r + 1448, 0 = 4*y - 3*r - f. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 - c**2 + 2*c - 2. Let b(a) = -5*a**3 - 78*a**2 - 10*a + 15. What is -b(i) - 6*x(i)?\nAnswer: -i**3 + 84*i**2 - 2*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {f: 5, u: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 64285.85 centimeters?\nAnswer: 642858500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8092?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/10*(-9 - 1). Suppose 3*t - 4*t + 16 = p*i, -4*t = 0. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1758.2 + 1759.2. What is the closest to 14 in -4, 0.04, -1\/2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -14511*n - 326. Let k be m(34). Round k to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32679*w + 32654*w + 85675 = 0. What is the remainder when w is divided by 127?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*j + j, -x + 4*j + 972 = 0. Let n = 996 - x. Solve 4*m - 16 = 0, 5*g - m + 0 = -n for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s - 6. Let q(k) = -4 + 3 - 3 + 3. Determine p(t) - 3*q(t).\nAnswer: -t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104021264 and 2056?\nAnswer: 2056","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 10:11 AM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jwjyl. Give prob of picking 2 j.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -49.116 - -0.116. Let w = z + 45.8. Let r = w - -3.2. Which is the nearest to 0? (a) 1\/3 (b) r (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k. Let u be d(3). Let j be -1719*1\/(u\/(-4)). Is j\/16 - (-3)\/(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1570, -1566, -1560, -1552, -1542, -1530?\nAnswer: -1516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 1:32 AM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/1710 and -37\/1345.\nAnswer: 459990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/7, 0.13, -2784, -3\/4, 0.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4923380 by 1610.\nAnswer: -3058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27451 and 566?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t - 10. Let o be y(10). Suppose -4*w - w - 30 = o. What are the prime factors of (12\/(-15))\/(w\/105)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {l: 2, j: 18}.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 8292980 to the nearest 100000.\nAnswer: 8300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1731 + -1744. Which is the biggest value? (a) 2\/21 (b) 2 (c) 0.01 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1135723927307 take away -0.06?\nAnswer: -1135723927306.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + -1 + (-21)\/(-21). Let h be (j - 5)*5*1\/5. Put h, -1, 3 in increasing order.\nAnswer: h, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 43? (a) 4 (b) 1 (c) -1\/7 (d) 18.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*u**3 - 4968*u**2 + 2487*u - 311 = 0. Calculate u.\nAnswer: -311, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -156, -356, -626, -960, -1352, -1796, -2286?\nAnswer: -2816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oim when three letters picked without replacement from {m: 1, c: 1, o: 1, i: 1, p: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -95, -464, -1123, -2078, -3335, -4900, -6779?\nAnswer: -8978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 4*z - 314, 5*z = -w - 53 - 119. Is w greater than or equal to -147?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/5021 + 426857\/180756. What is the common denominator of c and 26\/21?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -173617, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 11*o**2 + 12*o - 11. Let c be w(-12). Let r(n) = n**2 + 6*n + 2. Calculate the remainder when r(c) is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5169.4 + 5797. Round v to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 6*h**2 - h. Let w(r) = -r**2. Determine x(w(z)).\nAnswer: 6*z**4 + z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a century in decades?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8939291 is divided by 101?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 59 + 2 = 0. Suppose 0*f - y = -4*w - 5*f, 4*w - 5*f = 7. Let a be -1 - (-7)\/3 - 960\/(-144). Is a not equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 167 - 111. Let m = y - 55.5. Let d be ((-4)\/((-8)\/6))\/(-1). What is the nearest to 0.02 in m, d, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*a - 70 = 56. Let v be (-2)\/a - 114\/(-42). Calculate the common denominator of -65\/16 and (v - 2 - 836\/184) + 3.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60679?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6*(-2)\/(-2))\/(58\/29). Suppose 4*s - 2174 = d - 259, 1434 = k*s - 3*d. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 497 and 1775?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 811 + -14?\nAnswer: 7db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 47*i = -8496 + 1276. Calculate the greatest common factor of i and 2090.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -97565000 rounded to the nearest one hundred thousand?\nAnswer: -97600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.02 - 0.62. Let b = o + -0.4. Is 1\/2 != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 2*v + 2*v. Let m(t) = -4*t - 9. Let h(i) = 5*i + 11. Let l(a) = -2*h(a) - 3*m(a). Let s(z) = -5*z - 9. Let f(n) = v*l(n) - 3*s(n). What is f(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4*n = -2*i - 12, 2*n = 5*i + 12. Let k be i - (-2 + -1 + 5). Let x(l) = -l**2 - 6*l - 5. List the prime factors of x(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 - 68*p - 708. Let v be n(-55). Solve 3*h + 9 = -2*r, 5*r - v = 2*h - 1 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-21)*v*(v**9*v*v)\/v*v*v\/(v\/(v**(5\/3)\/v))*v*v**(-1\/10) assuming v is positive.\nAnswer: v**(-223\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-58)\/(-26) + (-747)\/3237. Solve -3*t + 2*v + 2 = 0, i*v - 7 = -3*t - 9 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -15*f - 30. Suppose 111*n + n = -4*n - 580. Calculate j(n).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((-4 + (sqrt(153) + 0 + sqrt(153) - sqrt(153)))*-3 - (3 + (1 + sqrt(153))*-5))*4)**2*2.\nAnswer: 16128*sqrt(17) + 77568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 4*r**2 + 5*r - 2. Let w be c(-5). Calculate the common denominator of 59\/6 and 328\/(-36) + w\/(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/6)\/u)\/(u*((u*u**(5\/8))\/u)\/u*u) assuming u is positive.\nAnswer: u**(-59\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.076916 - -0.077. Round b to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 19*o = 11312. Is o a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -19*z + 2*z - 132 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dboo when four letters picked without replacement from ohhoohbdhdhbthdbbb?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyxxyyyyxyxyxyyy. Give prob of picking 2 y.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + ((-3 - 2 - 21) + -1 - (-8 - 1))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7909*p - 47258 + 998272 = -53429 for p.\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 9:03 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 4*f**2\/3 - 10776320*f\/3 - 57474048 = 0.\nAnswer: -16, 2694096","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12818 and 2615626.\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1437817, -1437818, -1437819?\nAnswer: -1437820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 188496 and 322.\nAnswer: 4335408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 132 = 92. Let c be (174 + (-5 - d))*1. Suppose -3*y + 5*t = -c, 5*y + 3*t - 6*t = 309. List the prime factors of y.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -25 and -0.4?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -5, -0.04, 1, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7210046 is divided by 75.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Round -16518.7 to the nearest 10.\nAnswer: -16520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -7.0440362967259?\nAnswer: 4.0440362967259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*c**2 + 26*c**2 - 7*c**2 + 13*c**2 - 6*c**2 + 2*c**2.\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n - 4*k + 14, 51*n - 52*n - 14*k + 41 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/15)\/((-6)\/(-15))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 + 0.4. Let z = -5.15 - -10.15. Which is the third biggest value? (a) 1\/9 (b) k (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -155\/42 and -62\/6147?\nAnswer: 86058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 26 = -4*g. What is the highest common factor of 65 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.3, 14.4, -1, -4, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -513 and -0.9.\nAnswer: 461.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3609*a + 118. Is k(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -4*u**5 - 8*u**2 + 5*u + 5. Let f(g) = -3*g**5 - 7*g**2 + 4*g + 4. Let b(q) = -5*f(q) + 4*m(q). What is the third derivative of b(r) wrt r?\nAnswer: -60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -132*v**2 - 287*v - 83. Calculate t(-2).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 3 - 3)*(-12*v + 0*v + 3*v) + (-2*v - v + 2*v)*(-2 + 2 + 1))*(6 - v**2 + 3*v**2 - 2) + (2*v - 3 + 3)*(0*v**2 + 5*v**2 + 7*v**2).\nAnswer: 4*v**3 - 40*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30473512?\nAnswer: 2, 3809189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i + 0 + 100*i**2 - 1 - 2.\nAnswer: 100*i**2 + 2*i - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -0*l - 25 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -38\/3. Suppose 2 = u + 1. What is the nearest to u in k, 4, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10269\/1010 - 1\/1515. Let h be (13966\/(-12))\/((-824)\/6). Let j = -31\/206 - h. Find the common denominator of j and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 354486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.008 - 0.0512. Which is bigger: d or -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2619, -5230, -7841, -10452?\n\"Answer: -2611*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**3 + 201853140*c**2 - 2546543032064652*c - 2546543233917796.\nAnswer: -4*(c - 25231643)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -5. Let j = 1 - 1. Which is the closest to h? (a) -1\/2 (b) j (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000338369 to 6 decimal places.\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 52914 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: Sort 1467, 1, -5.\nAnswer: -5, 1, 1467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 + 64 + 11 + 27*t**3 + 51 to u*t**2 + q*t + y*t**3 + c and give c.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1336 or -1342?\nAnswer: -1342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1330072, 2660157, 3990248, 5320345, 6650448?\nAnswer: 7980557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -452*j + 455*j - 82, -5*t - 109 = -4*j. Solve -j = 8*q - 50 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-68)\/(1 - 5)*-3. Let a(q) = -q**3 + 17*q**2 + 8*q - 37. Let r be a(17). Let l = r + z. Is 12 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1733320755 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4865818.\nAnswer: 2, 2432909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/21693 and 91\/27198.\nAnswer: 196668738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 551569663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 96 + -154. Let t be 7\/3 - 2 - (-160)\/(-3). Let y = t - k. Solve -5*v + 5*x + 45 - 10 = 0, y*x - 5 = -5*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1275 is divided by 638?\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-30))**33\/(d\/(d**(-11\/5)*d*d))**(3\/19) assuming d is positive.\nAnswer: d**(-94068\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98.5*-0.3.\nAnswer: -29.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 69\/9*-1*(-3 - 3). Suppose b = 4*m + 30. Suppose -5*v = -4*s - 309, 2*s + 77 = m*v - 175. Does 13 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2*r + 2)*(-12 + 0 + 0) + (1 + 0 + 0)*(-5*r + 3*r + 0*r) as k*r + s and give k.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1465718.\nAnswer: 2, 29, 37, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*3\/64*-2.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(0 - 1\/(-2479)). Let m = 127 - 127. Suppose -2*j = -2*o + 3*o + 618, 4*o + j + i = m. Round o to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*n + 46566 = -7*n + 38*n. Solve -8*o - 629 = -n for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 67 + 67660?\nAnswer: 67747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-13)\/(-2)*12*-1. Let q = b + 236\/3. Let g be -1 - (2 + 8\/(-2)). What is the nearest to g in -0.4, -4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*f*z - 328*f + 1058960*z + 4704 with respect to z.\nAnswer: 7*f + 1058960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*s + 13*s + 1369 + 2069 + 162 = 0 for s.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5343.3617852+-0.6\nAnswer: -5343.9617852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a meter in millimeters?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (52 - 1)*8\/12. Let w(u) = 2*u**2 - 7*u. Let x be w(4). Solve r + 0 = -5*s + 3*c, -s = -x*c + 17 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8686 + -7929. Is 5 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/10)*a**(-1\/3))\/(a*a*a**(-1))**(-43)*(a**(3\/2)*a**(-10))**(-21) assuming a is positive.\nAnswer: a**(3316\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 33. Let x = q + -17. Sort 3, x, -5 in decreasing order.\nAnswer: 3, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + 14 - (-3 + 0). Suppose -5*i - j = 5*p, -6*i - 21 = -4*i + 5*p. What is the greatest common divisor of i and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10029909 and 1311.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 - 22. Let q(l) be the first derivative of 2 - 2*l + 2\/3*l**3 - 1\/2*l**2 - 1\/4*l**d. Calculate q(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 938202 is divided by 266.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of 31*d**6\/120 + d**3\/6 - 11*d**2. Differentiate r(v) wrt v.\nAnswer: 93*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from riirrirrrr. What is prob of sequence ri?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 669621 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 31*c + 24. Let v(z) = -1. Let g(d) = -125*d - 94. Let q(t) = -g(t) - 3*v(t). Let f(b) = -4*q(b) + 18*x(b). Differentiate f(n) with respect to n.\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w - 3*w - 5*w)*(1 + 2 - 5) + 1 - w - 1.\nAnswer: 25*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1722)\/7 + -3 + 0. Let k = -131 - n. Is 19 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 76, 148, 232, 334, 460, 616, 808, 1042?\n\"Answer: a**3 + 65*a + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(77)*1*2)\/((1*sqrt(77))\/sqrt(11)).\nAnswer: -5 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 PM and 1:15 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -20*-7.79711\nAnswer: 155.9422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 5*n**2 - 3*n + 4. Give x(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -383294.3 rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2461500*b**3 - b**2 + b. Let s be t(1). Suppose 9*a + s = 24*a. Round a to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -4640*u + 1168. What is the hundreds digit of w(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -173 - -181. Suppose -59 = k*x - 19. Let d(i) be the third derivative of -i**5\/60 - i**4\/24 + 5*i**3\/6 - 2*i**2. Determine d(x).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 3*h + 5*f, 3*f + 0 = 5*h - 20. Suppose -h - 7 = -u + 3*q, 0 = -3*q - 6. Suppose -u*w + 134 + 20 = 0. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -277, -143, 401, 1349, 2695, 4433?\n\"Answer: -l**3 + 211*l**2 - 492*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of q**3\/6 - 5*q**2 - 8*q + 274. Let p be (6 + 0)\/((-2)\/(-4)). What is h(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2 - 108*o + 2916.\nAnswer: (o - 54)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 96 = 5*q. Is ((-21)\/12)\/(3\/q) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23 and 1219.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2852, 4906, 6992, 9116, 11284, 13502, 15776?\nAnswer: 18112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 492333240 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) 0.213 (b) 3 (c) -0.3 (d) -1\/2 (e) -345\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -17*w + 17. Let s be f(1). Suppose 9*h - 12*h + 1551000 = s. Round h to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1713 + 1708. Let a(j) = -j**3 - 6*j**2 - 6*j + 3. Let d be a(-5). What is the closest to d in -3, k, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s - 4*s. Let j = s - -5. Let a = 14 - j. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*i = -44*i - 1386. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/2 + 1 + 16\/(-4). Suppose b - 2*t + 4*t - 107 = 0, -2*b - 5*t + 213 = q. What is the remainder when b is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 1813 + -924. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/102211, 4, -404?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3710*y**2 - 7419*y**2 + 3710*y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -192*y + 134 + 3514 for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 764 (base 13) in base 5?\nAnswer: 20030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**5 - 1387*d**4 + 35478*d**3 - 125300*d**2 + 119768*d = 0 for d.\nAnswer: 0, 2, 22, 1361","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + ((-4)\/(-6))\/((-216)\/(-1782)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 356252?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -14127\nAnswer: 5650.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 a when two letters picked without replacement from hmhahmahahmmaa?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 6355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5140, 5869, 7084, 8785, 10972?\nAnswer: 13645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/16*0*(-1)\/(-1). Suppose -3*d + 0*d + 144 = k. Let w = -26 + d. Calculate the remainder when 40 is divided by w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/40 and 151\/1845336?\nAnswer: 9226680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1564\/14)\/1 - 8\/(-28). Let z = 178 - h. What is the lowest common multiple of z and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (13 - 19 - -2 - (2 + -12)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -366800 by -350.\nAnswer: 1048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 243665617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2633.5384*0.6.\nAnswer: -1580.12304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1539) + 3)*2 + 0)**2 + 4.\nAnswer: 216*sqrt(19) + 6196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-39)\/2)\/((-15)\/80). Let q be (-3)\/(-7) - z\/112. Do q and -14 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 4*k**4 - 12260*k**3 - 583012*k**2 - 6359068*k - 5788320 = 0.\nAnswer: -31, -15, -1, 3112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-40)\/(-16))\/((-1)\/(-2)). Suppose -5 + 22 = n - x*v, 11 = 4*n - v. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5*d = -3*r + 2, 4 = -d - 4*r. Suppose -2*i = 3*a - 69, 0*a + 117 = 5*a + d*i. What is the smallest common multiple of 21 and a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/8 and -23\/6492.\nAnswer: 12984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.9 - 8.9. Let x be ((-6)\/(-28))\/(2\/1836). Let j = x - 197. Which is the second biggest value? (a) j (b) u (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2564572 is divided by 256444.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/8 - 39\/4. Let j be 1\/((-5)\/2)*q. Suppose 5*i - k - 20 = 0, -3*i + 2*k - 7 + 26 = 0. Which is greater: i or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91992.\nAnswer: 2, 3, 3833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10000779 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Is 107062 a multiple of 311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 96 = 4*s, 0*s + 254 = 3*i - 5*s. Calculate the greatest common divisor of i and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -41*l - 3. Let x(n) = n. Calculate -g(w) - 6*x(w).\nAnswer: 35*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a microsecond in nanoseconds?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33 + -2?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17242 - 17240. Solve -4*f - 22 = z*i, 12*f - 2*i = 6*f - 8 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 4*o. Let k(b) = 7*b**2 + 3687*b + 5. Give k(g(m)).\nAnswer: 112*m**2 + 14748*m + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*n**2 + 3054 - 43*n**2 - n - 41*n**2.\nAnswer: 2*n**2 - n + 3054","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -32346090 rounded to the nearest 100000?\nAnswer: -32300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -95 and -95 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41504 (base 6) to base 16.\nAnswer: -15d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - 19*s + 8. Give k(21).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2860, 2859, 2858, 2857, 2856?\nAnswer: 2855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74221.7l to millilitres.\nAnswer: 74221700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 1243*a**2. Let w(u) be the third derivative of u**5\/30 + 391*u**2 - u + 6. Determine w(n(f)).\nAnswer: 3090098*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -80202, -80209, -80216, -80223?\nAnswer: -80230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10151689*g**2*k - 20293318*g*k wrt g.\nAnswer: 20303378*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 7. Solve -2*u - 5*j = 15, v*u = -u - 5*j - 20 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 38568742 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -39*f - 77 - 40 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and -25.17.\nAnswer: -28.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 89 in -3, -3\/2, 23\/3?\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -6*a**3 - 3*a**2 + a + 3. Let b(o) = -4*o**2 - 7*o**3 - 59 + 56 + 7 + o. Calculate 3*b(y) - 4*l(y).\nAnswer: 3*y**3 - y","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 9*j + 43. Determine f(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {m: 2, e: 4, c: 2, o: 1, a: 5}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/2 + 4562*f**2 - 422878*f + 9750528.\nAnswer: (f - 46)**2*(f + 9216)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 8*u**2 - 11*u - 4. Let x be i(4). Which is the biggest value? (a) x (b) -1\/2 (c) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -2c31?\nAnswer: -2c2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-7)\/42 + 53726\/(-7872) + (-89 - -96) and 24\/205.\nAnswer: 6560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.3221753 rounded to 1 dp?\nAnswer: -48.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 39*n**2 - 256*n + 71. What is r(-9)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 + 30. Suppose 3*o + 9 = -4*k, -k - 3 = 3*k + o. Suppose -17*m + 10 + 7 = 0. Which is the nearest to k? (a) n (b) -0.5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 5*z. Let s(j) = -j - 1. Let p be s(-3). Let h(g) be the first derivative of -p*g**2 + 3 - 4*g**2 + 5*g**2. Give r(h(t)).\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4}. What is prob of sequence dd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 619903310.\nAnswer: 2, 5, 13, 19, 113, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o**(-3\/14)*o)*o)\/o*o*o**(-27) assuming o is positive.\nAnswer: o**(-347\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -3*w + 331, 5*b + 4*w = 8*w - 845. Let c = -169 - b. Solve -c*s - 5*q = -25, s - 2*s = q - 5 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 + 60. Is 12 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s + 2*s + 3*s)*(-1 + 4 - 2) + 1 + 3*s + 23 - 14.\nAnswer: 13*s + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 47*u**2 + 13 - 14*u**2 - 74*u**2 to the form d*u**2 + n + v*u and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -16 (b) 1\/5 (c) -0.1 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/2*(-64)\/(-16). Sort -1, -5, n in ascending order.\nAnswer: -5, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, v: 4, l: 2, n: 2}. What is prob of picking 1 l and 1 v?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1758934, -1758939, -1758956, -1758991, -1759050, -1759139, -1759264, -1759431?\n\"Answer: -z**3 + 2*z - 1758935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3 (b) 56 (c) 5 (d) 4\/5 (e) -41889 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 4*q + 15*q - 1 - 12*q. Determine z(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -100*g**3 - 472*g**3 - 68*g**3 + 332*g**2 + 35*g**3 + 189*g**2 wrt g?\nAnswer: -3630","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 times -0.02154?\nAnswer: 0.0019386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24841 + 9645677.97.\nAnswer: 9620836.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(68) - ((sqrt(612) + 0 + sqrt(612) + sqrt(612))**2 + sqrt(612) - sqrt(612)))*2 + -1 - (3*sqrt(68)*3 - sqrt(68))\/((sqrt(4) - sqrt(144))*5).\nAnswer: -11019 + 108*sqrt(17)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36975 is divided by 1538.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -14*t**2 + 34*t + 102. What is i(-3)?\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/3))**(19\/2)*v**1*v*v\/(v*v\/((v*v**4)\/v)*v)*v)**41 assuming v is positive.\nAnswer: v**(451\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286 is divided by 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -4*w**2 + 49*w - 1. Let o be i(11). Suppose 2*z = 4*u - o, 3*u - 8*u - 2*z + 54 = 0. Solve 0 = f - 0*f + 2*k + u, -5*f + 5*k = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.48 - -3.44. Which is the biggest value? (a) -2\/3 (b) 2 (c) m (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + 30*x**2 + 33*x + 124. What is the lowest common multiple of 571 and f(-29)?\nAnswer: 4568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2512540?\nAnswer: 2, 5, 125627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 695244 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -5*q + 20, 0 = -4*t + 5*q + 1735 - 1755 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9235 rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -6468830 to the nearest one hundred thousand.\nAnswer: -6500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 3:35 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -763186446.22 minus -0.2?\nAnswer: -763186446.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 16 + 21 + 24 + -8 + 4.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 58 - 58. Let b be (-46)\/(-44) + (-42)\/77. What is the fourth biggest value in b, -1\/6, u, -0.1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -2 + 5. Suppose -j*n - 5*t + 0*t + 23 = 0, 3*t + 3 = n. Calculate the remainder when 16 is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254874531?\nAnswer: 3, 19, 61, 73303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (24\/(-9) + 2)\/(13\/(-399)). Which is smaller: 20 or m?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -376 + 158 = -2*d. Differentiate d*u + 53 + 28 - 14 wrt u.\nAnswer: 109","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, r: 2, b: 4, e: 1, h: 3, q: 1}. Give prob of picking 2 h, 1 v, and 1 e.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(-4*p**2 + 0*p**2 + 2*p**2) - p**2 - 5*p**2 + 2*p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/((g*g**(-4))\/g)*g**(-3\/4))\/((g\/(g\/(g*g**3)*g*g))\/(g\/g**(6\/7))))**36)**31 assuming g is positive.\nAnswer: g**(18693\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 648379 to the power of 1\/2, to the nearest integer?\nAnswer: 805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 126 + 3 + -1 + (4 - -28) + (173 - 193)\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 23 = -2*d + 5, 2*d = -p - 16 + 32 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 130911748843 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, e: 6, l: 6}. Give prob of picking 1 m, 1 e, and 1 l.\nAnswer: 108\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 = -13*f - 28 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2959, -2958, -2957, -2956, -2955?\n\"Answer: o - 2960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 2:28 AM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/174 and -74\/2565.\nAnswer: 148770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 105 = -4*z + z, 9 = -3*z. Let t = 101 - d. Suppose -b - t + 227 = 0. What are the prime factors of b?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7283507 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 4:08 AM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 74*g**2 - 26*g + 53. Let k be l(2). Which is the fourth smallest value? (a) -0.1 (b) -0.2 (c) -1 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -81*x**3 + 75*x**3 + 1676 + 22*x**3 wrt x?\nAnswer: 48*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -904*n + 1811*n - 905*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/k**(-1\/3)*k*k)**35\/(k**(1\/3))**33*((k**(-9)\/k)\/(k**4\/k*k))**(-42) assuming k is positive.\nAnswer: k**(2186\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ae469 + 18?\nAnswer: -ae451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20 - 24?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3578123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000017142 to six dps.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 167\/33739992 and 151\/1492920.\nAnswer: 168699960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 63*w**3 - 1 + 74*w**3.\nAnswer: 11*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -245\/717 - -2\/239. Sort -0.12, v, -5 in ascending order.\nAnswer: -5, v, -0.12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18853 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t - 3*t + 4091 + 0*t - 1408 + 0*t.\nAnswer: -6*t + 2683","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 4 = -39. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60401 and 42636.\nAnswer: 724812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 561077?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1176) + -1*sqrt(1176))\/sqrt(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (14\/8)\/((-2)\/(-16)). Let c be (8\/k)\/(2\/7). Solve 12 = c*l + 5*j, 3*l + j - 4 = l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbbq when four letters picked without replacement from bbbbbqbb?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -508.3 - -535. Let s = -44.7 + c. Is -2 != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 12*o + 16 + 34*o.\nAnswer: 22*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 25*p**2 - 57*p - 81. Give m(-27).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + v + 2. Let h be q(0). Let u = 4 + h. Suppose u = 4*w - 6. Let c(g) = -g**2 + 3. Give c(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 16*q**3 + 62*q + 5*q**3 - 51*q. Let c(s) = 4*s**3 + 2*s. Give 11*c(n) - 2*h(n).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 5*o**2 - 5*o + 5. Let t(w) = -3*w**2 + 3*w - 3. Suppose 7*f + f = -40. Calculate f*t(p) - 3*b(p).\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/12)\/(2\/(-8)). Let g be -26*(-4)\/(-40) - d. Let m = -2\/155 + -614\/465. Put g, m, -4 in descending order.\nAnswer: g, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.13 - 0.01. Let y = s - 0.06. Let t = -1 + 3. What is the closest to 1\/4 in t, -2\/5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q - 13. Suppose 13*d - 4*d = 162. Let y be v(d). Solve -3 = -y*a + 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 143*y**2 - 3*y + 12. Let w be q(0). Solve 647 = 5*r + 2*s + 660, 4*r + 2*s + w = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1543436*p + 883595 with respect to p.\nAnswer: -1543436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6553 times -34?\nAnswer: -222802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 188206870+3.7\nAnswer: 188206873.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l*l*l*l**(-2\/11)*l*l)\/l**(-6))**48)**(-3) assuming l is positive.\nAnswer: l**(-18720\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108956*i + 111331*i + 2 - 2.\nAnswer: 2375*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, b: 8}. What is prob of picking 2 h and 2 b?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**2 + 10*p**3 + 22*p**3 - 762*p**3.\nAnswer: -730*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60581?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0482045 minus -0.17?\nAnswer: 0.1217955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -44.48 - -44.46. Is h not equal to -474?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -20*j + 5. Let z(b) = -b**3 - 9*b**2 - 22*b - 10. Let g be z(-3). Calculate t(g).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/(-75) + (-152)\/(-15). Suppose -2*c = -o*c + 40. Suppose -i - n = 0, -n + 6 = c*i + n. What is the nearest to i in 4, -0.4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a millimeter in micrometers?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b**2 - 5*b**4 + 4*b**4 + 0*b**2 + 1 - 2*b - 2*b**4 to the form a + m*b**3 + q*b + h*b**2 + d*b**4 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 5*v + 7. Let d be o(5). Suppose 5*l + m - 52 = -d, 2*l - 3*m = 1. Suppose -5*g = l - 233. What are the prime factors of g?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3113 is divided by 775?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 7:59 AM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(567) - (sqrt(567)*1)**2*-3) + ((sqrt(343)*-1)**2 + sqrt(7) - sqrt(7) - sqrt(7)) + (sqrt(28)\/(sqrt(16)\/sqrt(4)))**2 + sqrt(7).\nAnswer: 9*sqrt(7) + 2048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**2 + 36 + 0*y**2 + 6*y**2 - 7*y**2.\nAnswer: -2*y**2 + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47\/98 - -1\/49. Which is the nearest to y? (a) -2\/15 (b) 0.3 (c) 3\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 2 = -r, -6*c + 3*r + 4 = -c. Suppose -5*w + 2*b - 17 = 0, 0*b - c*b + 8 = -2*w. What is the tens digit of 1\/(680\/225 + w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-57)\/6)\/(5\/470). What is the common denominator of (y\/(-342))\/((-2)\/(-4)) and -20\/87?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 3*b**2 + 3. Let t be i(-3). Solve 12 - 3 = -t*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -615*t - 462*t**3 - 174 - 623*t**2 - 3*t**5 + 840*t**2 - 1021*t**2 - 29*t**4 - 73*t**4 = 0 for t.\nAnswer: -29, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c - 2*c**2 + 3*c + 4*c**2 + 2579388*c**3 - 2579378*c**3.\nAnswer: 10*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d*d\/(((d**(-2\/21)*d)\/d*d)\/d))\/d**6)\/(d**(-2\/11)*d**(-2\/3)))\/(d**(-6)*d\/d**(-3\/5))**(-2\/37) assuming d is positive.\nAnswer: d**(-98039\/42735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/5001 and -52\/2649?\nAnswer: 4415883","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/2)*n*n*n*n**0)\/((n\/(n*n\/n**(-2\/13)*n))\/n*n*(n**(2\/17)\/n)\/n*n) assuming n is positive.\nAnswer: n**(2889\/442)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(5) + sqrt(5)*-2)**2 + sqrt(5) + -1*sqrt(20) + 6*4*(sqrt(5) + 2)**2.\nAnswer: 95*sqrt(5) + 223","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**4 + 2*r**4 + r**4 + (-4*r + 3*r + 3*r)*(-1309757*r**2 - 313*r**3 + 1309757*r**2).\nAnswer: -625*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -29*z + 374. What are the prime factors of c(-43)?\nAnswer: 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 24856?\nAnswer: -74568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 159521 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7917.\nAnswer: 3, 7, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21792 divided by -32.\nAnswer: -681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 97429?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 g, and 1 r when three letters picked without replacement from girtirtgiikririki?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 0*m = -5*m + 5, -2 = j - 2*m. Let n = 1 + j. What is the remainder when n + (3 - 2) - -28 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*r, -5*j - 120 + 340 = 2*r. Calculate the greatest common factor of j and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -650*o**3 - 7 + 1035*o**3 + 81*o**2 - 83*o**2 in the form y*o**3 + c*o**2 + b*o + r and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196*o**2\/9 + 982*o\/3 + 10 = 0 for o.\nAnswer: -15, -3\/98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*j - 1034 = -269 + 1236 for j.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.08 - 0.18. Let z = 9.6 - 10.2. Put 0, o, z in ascending order.\nAnswer: z, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - 2*a**2 + a + 3. Let r be i(3). What is the greatest common factor of 60 and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*z**3 + 97*z**3 - 97*z**3 - 78*z**3.\nAnswer: -156*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40 - 32. Suppose -4*s + 36 = -n*s. What is the units digit of -4 + (-12)\/s*60?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -128c6 (base 14) in base 2?\nAnswer: -1011001001001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g - 3*y + 75 = -3*g, -3*y + 39 = 2*g. What is the smallest common multiple of 42 and g?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = 18*d - 10*d. Suppose 0 = -6*h + 22 + 212. What is the greatest common divisor of d and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 5*p + 4 = 0, 0 = -5*p - 1 + 11. Let f(a) = 5*a**2 - 1. Let w be f(-1). Suppose 2*d - w*d - g*h = 1, 0 = 2*h + 10. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -68*b**3 + 98*b**3 - 15 - 55*b**3 wrt b?\nAnswer: -75*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 1045*u**2 + 32*u + 2. Is z(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 264 + -267. Which is the smallest value? (a) i (b) 2 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -1. Let m = 4.44 - d. Let p = m + -0.439902. What is p rounded to 5 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -5*z**2 - 5. Let s(q) = -29*q**2. What is s(v(l))?\nAnswer: -725*l**4 - 1450*l**2 - 725","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1670 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -2.9. Let h be -27*(24\/9 + -1). Let k be (-96)\/h - (1 + 1). Which is the second biggest value? (a) f (b) 3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 15*d**2 - d + 1. Let r be z(2). Suppose -3*s + 547 = -r. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 7944318, 15888639, 23832960, 31777281, 39721602, 47665923?\n\"Answer: 7944321*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122347 is divided by 292?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3 + 0.5. Let j = 0.19 - 1.79. Let g = 3.6 + j. What is the nearest to 0.2 in -0.2, c, g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, i: 4, y: 2, d: 6}. What is prob of sequence yyi?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -300, -340, -416, -546, -748, -1040, -1440, -1966?\nAnswer: -2636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 224800621 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + (-2)\/39*1857544\/(-3180)?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37\/69 - 916\/207. What is the common denominator of q and -109\/30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 8461, 66035, 221025, 521731, 1016453?\n\"Answer: 8050*c**3 + 408*c**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 373*y + 117*y**2 - 108*y**2 - 374*y - 1538*y**2 - 1118*y**2 as r + m*y + l*y**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22 - -4) + -18 + 7.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4740344527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i**2 - 225*i + 230 = 0.\nAnswer: -46, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -62 + 46. Let w(k) = k + 38. List the prime factors of w(o).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -2*k + 2*t + 159, -5*k + t = -464. Suppose -4*j + k = 28. Find the second derivative of -12*u**4 + j*u**4 - 6*u - 25*u**4 wrt u.\nAnswer: -252*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s**2 - 23*s - 12. Give t(-12).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 437 and 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -160 + 3133354?\nAnswer: 3133174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 3, a: 1, c: 4, i: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1142.\nAnswer: 2, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 142\/(-9) + (-8)\/36. Let i be (1 - 1)\/(a + 14). Solve i = -5*h, -2*v = 6*h - 3*h + 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1824 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of v**3\/6 - 5*v**2\/2 - 2*v + 16. What is g(-5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - 2*x + 34. Is 5 a factor of t(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + 8*a**2 - a - 25. Suppose 16*c + 3*v = 15*c - 23, -4*v - 44 = 3*c. Give x(c).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2346 is divided by 1152.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -348 + 349. What is the second biggest value in -4\/3, 0, -10, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 113 + -1016\/9. Let x be 12\/(-7) - (-6)\/(-9). Let n = -191\/21 - x. Calculate the common denominator of n and u.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by ((0 - 1) + -13)\/(1*-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1986311 is divided by 113?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 6*a**2 + 64*a + 4. Let g(c) = 3*c**2 + 35*c + 2. Let n(p) = -7*g(p) + 4*i(p). Let b(w) = 7*w**2 + 23*w + 4. What is 4*b(h) - 9*n(h)?\nAnswer: h**2 - 7*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -64 + 109. Let z(d) = 5*d**2 + d + 3. Let n be z(-3). Suppose t = 5*m + 2*c, 3*c - n = -5*m - 0. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(-14)*((-21)\/(-21) + (-8)\/(-2) - 7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 17*w**2 - 11*w - 2. Let h(t) = 35*t**2 - 22*t - 5. Let d(b) = -3*h(b) + 7*v(b). Is 8 a factor of d(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gh when two letters picked without replacement from {e: 1, s: 1, h: 1, q: 1, g: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*o + 1462 - 77*o**3 + o**2 + 17*o - 1463 to the form i*o**2 + y*o**3 + n*o + t and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 54790214 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b - 439038 + 878076 - 439038 - 4*b - 6*b.\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i + 9. Let w be l(-9). Let n be 3 - (1 - 1 - w). Let c = 27 - n. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -i + 4. Suppose -t - 2 = -i. Let w(l) = -14*l - 3. Let f be w(-2). Calculate the greatest common divisor of t and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 5:18 PM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b - 2. Let y(s) = 2*s - 1 + 3*s - 7*s. Suppose -4*m - 1 = 3, 0 = -2*n - 4*m - 2. Let c be y(n). Calculate z(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*u + 3*w + 28887 = -16*u, 5*u + 3*w = 48081. What are the prime factors of u?\nAnswer: 3, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 2*d - 1. Let t be u(1). Suppose j = 3*x + 8 + 7, -125 = -4*j - x. Suppose 0 = -j*w + 27*w. Solve t = -w*s + s - 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 840 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31807, -63641, -95497, -127387, -159323, -191317?\nAnswer: -223381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21431788 and 246910?\nAnswer: 107158940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(32) + 0 - (sqrt(2) - sqrt(24)\/sqrt(48)).\nAnswer: 7*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d + 0*d + 2*d)*(2 + 1 - 2)*(-2 + 2 - d**2).\nAnswer: -6*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5413276873?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z - 4 + 29, -5*x + z + 5 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a**3 - 218*a**2 + 2632*a - 8000. Let o(q) = -4*q**3 + 220*q**2 - 2633*q + 8002. Let i(w) = -10*n(w) - 8*o(w). Solve i(c) = 0 for c.\nAnswer: -222, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18*t**3 + 552*t**2 + 37019 wrt t.\nAnswer: 54*t**2 + 1104*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away -476332?\nAnswer: 476332.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 5*n**4 - 70*n**3 = 0.\nAnswer: 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2325 or 2324?\nAnswer: 2325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -61137 (base 9) to base 6.\nAnswer: -510054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 10\/3 of a decade?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g = -514 + 481. Let b(y) = 9*y**3 + 15*y**2 + 11*y + 8. Let f(z) = -5*z**3 - 8*z**2 - 6*z - 4. Let i(c) = -3*b(c) - 5*f(c). Calculate i(g).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**3 + c**2 + 0*c**3 + 5*c - 3 - 3*c**2. Let w(b) = -b**3 - 9*b**2 - 4*b - 33. Let r be w(-9). What is the tens digit of j(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 3*x. Suppose -4*u + 5*a = x, 2 = 3*u + 4*a - 29. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -366 + 52 = 2*p. What is the closest to 0 in -1\/2, -5, p, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -0.4 (b) -0.2 (c) -13.509\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/5 (b) 1 (c) -320\/43 (d) 3\/7 (e) 0.2 (f) 2\/79\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 5*g**2 - 7*g - 6. Calculate h(6).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 149271151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n - 29 - 6 = 0. Let o be 28\/n + (-4)\/10. List the prime factors of 270\/6 + o\/2.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 130 and 650?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 134 = -2*h - 88, -2*h - 4*j = 222. Let y = -95 - h. Solve -2*t - 5*k + y = 1, -3*k + 3 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -22*p**2 - 2499*p + 18561. Calculate d(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2542 in 2, 2\/53, 1\/52, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/28? (a) -2 (b) -125 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 25\/55 - (4 - 3)\/1. Let j be -1 + (2 + -3 - -6). Suppose -t - 6*m - 2 = -m, 5*t = -j*m - 10. Which is greater: d or t?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 7781056174 to the power of 1\/2, to the nearest integer?\nAnswer: 88210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -22, -218, -758, -1816, -3566, -6182, -9838?\n\"Answer: -29*u**3 + 2*u**2 + u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1.2 (b) 0.02 (c) -1 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1566, -1543, -1516, -1485, -1450, -1411?\n\"Answer: 2*d**2 + 17*d - 1585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (7 - -2) + (5 - -1) + (-2 - 0)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = 2*z - 5*t, 16*t - 16 = 5*z + 36*t + 34 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 5 - 133*m**3 - 9*m + 266*m**3 - 134*m**3 + 11*m**2. Calculate the remainder when z(4) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 15459312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/12 - (-148)\/6. Suppose 8*a - 4*a = -z. Let m be (-12)\/a - -3*1. Solve m*b = -0 + 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+-72269.7958\nAnswer: -72269.4958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.1 + 7. Let h = x + 9.1. Let r = h + -7. Which is the closest to 1\/5? (a) r (b) -4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a tonne in kilograms?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/7 in -0.16, -2\/5, 12, 2, -2?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255*w + 11519 = 23406 - 7807 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 2*h - 694, -h - s + 365 = -4*s. Suppose -6*y = -h - 151. Does 7 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 6 = -q, 3*s = -3 + 15. Let z be -1 + q - 11\/8. Let j = -96925.9 - -96926. What is the nearest to -1.2 in j, 4\/5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (0 - ((5 - 3) + 3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of 7*g**4\/12 - 5*g**2\/2 + 6*g. Differentiate u(a) wrt a.\nAnswer: 14*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 - 1)*(-4 + 0 + 2) + 4 - 2 + 6)*(-4*y**3 + 2*y**3 + 3*y**3).\nAnswer: 10*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -24819, -49648, -74477, -99306?\n\"Answer: -24829*w + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -3166?\nAnswer: 3\/3166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2*a + 54 = 0, 0 = -5*a - 42 + 17. Suppose o*h = 57 - 2. Solve -3*l - 7 = 3*s - h*l, -2*s - 2 = -2*l for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -300*n - 7089 = -317*n + 459. What is the highest common factor of n and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1143621695.\nAnswer: 5, 881, 259619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15\/2 + 57\/8. Which is the nearest to 0.1? (a) t (b) 0.1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -446 - -503. What is the greatest common divisor of 19 and c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.1 in 4\/5, 17, -4?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(24\/(-14))*41\/(-287). Sort u, 1, -2\/31 in decreasing order.\nAnswer: 1, u, -2\/31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4*n = -34, n = 4 - 9. Solve 0 = 4*s - h*s + 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1049\/182 - 31\/26. Let j be (1\/3)\/(-7 + (-182)\/(-24)). Suppose -d*f + 24\/7*f**2 + 12\/7 - j*f**4 + 0*f**3 = 0. What is f?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195209*n + 184 - n**2 + 195209*n - 554 + 187 + 183.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-2*sqrt(704) - sqrt(704))\/(-2*sqrt(256)).\nAnswer: 3*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 103*o**3 - 3*o**2 + 4. Let t be b(4). Let i = t - 72080\/11. What is the common denominator of i and 16\/3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22421*y**3 + 44844*y**3 - 22422*y**3 + 2138*y**2)*(-4*y**2 + 0*y**2 + 3*y**2).\nAnswer: -y**5 - 2138*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72333 and 969?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21972387?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21919, 1, 2 in decreasing order.\nAnswer: 21919, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 4*g**2 + 1. Let t be q(4). Calculate the remainder when 43 is divided by (13 - -2) + (1 - t).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 1, -7698 in decreasing order.\nAnswer: 21, 1, -7698","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b - -8d8?\nAnswer: 8cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25190 is divided by 2099?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 1 = 3*g. Suppose -g = -2*x + 29. Solve -3*r = 8*n - 3*n - x, 5*n = -5*r + 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -u**5 + 146691*u**3 - 204*u**2 - 125732*u - 24?\nAnswer: -20*u**3 + 880146*u - 408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9\/28 + 25\/28. Let k = -0.14 + 1.14. Which is the closest to 0.1? (a) g (b) k (c) 8\/17 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -8*g**3 - 10*g**2 + 4*g - 2. Let c(l) = 9*l**3 + 11*l**2 - 4*l + 3. Let t = -9 - -15. Let k(u) = t*c(u) + 7*q(u). Is k(-4) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72851 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 139\/511 - -1\/73. Suppose 3 = -3*p, -j = 4*p - 2 + 4. Let n be (-39)\/(-60) - j\/5. Which is the closest to n? (a) 1 (b) -3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 4*y**3 + y**2 - 3*y + 3. Let z be (0 - 10\/(-8)) + 3\/(-12). Let d(s) = z - s - 10*s + s**3 + 10*s. Calculate -3*d(h) + f(h).\nAnswer: h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-17)\/34)\/((-5)\/(-2))*-1\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 + 9*a - 1. Calculate d(12).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 9:41 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 5 + 14. Suppose 0*h + 2*k - 6 = -4*h, x*h - 18 = 3*k. Determine s so that -1\/2 + 0*s**2 - s + 1\/2*s**4 + s**h = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**35\/b)\/b*b)**(-4)\/((b\/(b*b*(b*(b\/b**42)\/b)\/b))\/b*b**(-10)) assuming b is positive.\nAnswer: b**(-166)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 6:11 PM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 a factor of 148949753?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*h**3 - 219 + 2*h**4 + 227 + 6*h**3 - h - 3*h**2 as b*h**3 + a*h**4 + l + f*h**2 + d*h and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10186584.\nAnswer: 2, 3, 19, 89, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -24*g**3 - 13*g**2 - 16*g + 4. Let y(n) = -128*n**3 - 76*n**2 - 96*n + 23. Determine -35*p(u) + 6*y(u).\nAnswer: 72*u**3 - u**2 - 16*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3053 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to 2\/15883?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/36319 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*g - g - 3*g + (-2*g + g + 3*g)*(-1 - 1 + 0) + g + 0 + 0 + 1 + g - 1 - 91*g + 144*g - 86*g.\nAnswer: -33*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 24 - 279 = 0. Suppose 0 = -5*v - 4*s + 104, 5*v + s = -0*v + x. Let p be (14\/(-8))\/((-1)\/v). Solve 5*g = -2*f + p, 0*g + 20 = 3*f + g for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -109*c - 66*c - 31*c + (-3*c + 3*c - 2*c)*(4 - 3 + 0) in the form o + q*c and give q.\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 189141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - 3*c**2 + 5*c. Let w = 19 - 15. Suppose 4*y - 2*n - 22 = y, w*n + 36 = 4*y. Does 5 divide s(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 612234043.7 rounded to the nearest ten thousand?\nAnswer: 612230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18.276 and -0.3?\nAnswer: -5.4828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - -242?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -0*t. Suppose -5*w = v - t*v - 117, -v + 93 = 4*w. Calculate the greatest common divisor of 36 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in v**4\/2 - 10*v**3 + 37*v**2\/2 - 9*v = 0?\nAnswer: 0, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 267889 to the nearest 1000.\nAnswer: 268000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -5, -0.8, 4, 2\/2887?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5528591179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175)\/sqrt(5))\/sqrt(7)*2.\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10253201 to the power of 1\/2, to the nearest integer?\nAnswer: 3202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/8 and -59\/2986094165?\nAnswer: 23888753320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 655 and 4847.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 75197 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*w**4 + 2*w**4 - 2*w**4 + (w**2 + 2 - 2)*(-3846*w**2 + 1206*w - 4748*w**2 - 1206*w) as c + l*w + z*w**2 + b*w**3 + v*w**4 and give v.\nAnswer: -8601","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 751129.86 to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -15. Suppose 2*f = -2 + c. Solve 15 = -f*t + 4*t - 4*i, -15 = t + 2*i for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-18)*5\/1*(-35844)\/8961?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*m*y**2 - 11*m*y - 210*m - 3*y**2 + 8 wrt y?\nAnswer: 6*m*y - 11*m - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 196 and 252.\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 4*p = 1, -565*p - 8 = 5*o - 568*p for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 10*l**2 + 7*l + 29. Give f(9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/22 and 47\/12212992.\nAnswer: 12212992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 287749759 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p + 3. Let z = 7 + -4. Suppose z*i + i = -12. List the prime factors of r(i).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and -2853914654.\nAnswer: -2853914649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 816*f**2 - 813*f**2 - 5 - 2 + 7.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110 (base 2) to base 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -80\/4350507 and 143\/65030.\nAnswer: 43505070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -71, -96, -107, -98, -63, 4?\n\"Answer: k**3 + k**2 - 35*k - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 4*i**2 - 5*i + 4. Let q = -6 - -1. Let n be d(q). Find the first derivative of w**n + w**4 - 2 - 3*w**4 + 4*w**4 wrt w.\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 4 + 3 + -3 + 3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 63197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2\/4)\/(1\/246) is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 2)*1 + 0. Let c be (-181)\/955 + h\/(-3). Let l = -2\/191 + c. Which is smaller: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r - 1. Let l be q(3). Let m be 15 + -1 + l + -1. Solve 4*o = -o - m for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-2\/7))**(3\/17)\/(o**1)**(-2\/193))**(-3) assuming o is positive.\nAnswer: o**(-16347\/22967)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3070 (base 9) in base 4?\nAnswer: 203022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15\/(-25) + 365\/25. Calculate the greatest common factor of w and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of -12*f + 0*f**4 + 0*f**2 + 1\/600*f**5 - 5\/3*f**3 + 0 + 1\/1800*f**6. Let q(r) be the second derivative of c(r). Factor q(d).\nAnswer: d*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4357350 to the nearest integer?\nAnswer: 2087","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dtt when three letters picked without replacement from hdttdddttt.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.1 - 1. Let q = 19 + -39\/2. Let k = 118 + -2240\/19. What is the nearest to d in -3, k, q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1255463 to the power of 1\/3, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 723 is divided by 442.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 225 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in -3\/7, 2.7, -22\/5, 2\/13?\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1581 + 1644. Sort -2, b, 4, -3 in decreasing order.\nAnswer: b, 4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -179233, -716953, -1613147, -2867809, -4480933, -6452513?\nAnswer: -8782543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/88270 and 1\/35502?\nAnswer: 16153410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 98912 a multiple of 352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of y**3\/6 + 19*y**2\/2 - y. What are the prime factors of j(-8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - 16*g**2 - 3*g - 8. Let q be p(16). Let a = -56 - q. Let w(h) = 4*h - 53. Let f be w(14). Solve -2*m = -t + 1, a*t + f*m = 3*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 274, 258, -120, -926, -2226, -4086, -6572, -9750?\nAnswer: -13686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -844 + 1545. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.38 + 0.12. Let u = -2183\/7616 + 1\/1088. What is the nearest to 1\/2 in u, 4\/3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19507\/5 - 3902. Let m = 1 + -1. Which is the closest to m? (a) -2\/13 (b) -5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*y - 20*y - 19*y + 38*y.\nAnswer: -22*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -73 in -5, 4, 6419?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 379*f - 42 = 5*x + 376*f, 0 = 2*x - 4*f + 56 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*u**2 - 57*u**2 - 20*u**2 + 7*u**2.\nAnswer: -48*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.598 + -0.598. Which is the closest to z? (a) 1\/4 (b) -2 (c) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of 0*p**4 + 0*p + 0*p**3 + 1\/840*p**7 - 20*p**2 + 0 + 0*p**6 - 1\/240*p**5. Factor a(q).\nAnswer: q**2*(q - 1)*(q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 85063054 to the nearest integer?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26.0737 - -25.95. What is l rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, k: 5}. Give prob of sequence vk.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 493 and 3?\nAnswer: 1479","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l**2 - 12*l + 12*l)*(3*l - 3*l - 2*l).\nAnswer: 10*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 106 and 2?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 148*n - 83*n + 260 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31450216883 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uhhh when four letters picked without replacement from {h: 4, u: 3, c: 1}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 23999951 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of l**6\/120 - l**5\/10 + 7*l**4\/24 - 2*l**3\/3 - l**2. Calculate the remainder when 17 is divided by u(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/3 + 28*t\/3 + 29\/3.\nAnswer: -(t - 29)*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 209 - 40. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7930457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1281, 2563, 3845?\n\"Answer: 1282*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10021101 + 1010?\nAnswer: -10020021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1568 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 94940 and 80?\nAnswer: 379760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 28, -4, 0.1, -1\/13, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 - 2*r**2 - r**2)*(8*r + 6*r - r + (0 + 0 - 1)*(-2 - 2*r + 2))*(-3*r + 0*r + r).\nAnswer: 120*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s - 11*s = 0, 5*p - s - 5 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 6*a + 3*a + 155 = 0, a = 5. Is v less than 2\/49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 88726339 to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*((-400)\/72)\/(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 69 + -51. Let h = 2 + 28. Calculate the smallest common multiple of h and o.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*f - 72*f = -368. Solve f*o + 2 = -5*d, -34 = 5*o + 3*d - 25 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 9*f - 31. Let i(v) = v**2 - 11*v + 22. Let x be i(9). Suppose 4*o - y = -o + 45, x*o - 3*y - 47 = 0. What is the units digit of u(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17480899 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 5*j - 3*z, -3*j = -j + 4*z + 16 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + o - 2*o)*(-3 + 1 + 1)*(-6 - 1 - 3).\nAnswer: -20*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 4) to base 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2022*s = 2091*s - 1173 for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-six thirds of a minute in seconds?\nAnswer: 1720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*u)*(-9 + 9 + 11)*(-2 + 3 - 7 + (-2 + 1 - 1)*(5 + 7 - 1)).\nAnswer: -616*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51 - 15*i**2 - 51)*(-2*i + 7*i - 2*i)*(2 + 2*i**2 - 2).\nAnswer: -90*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 1 = 4*r. Let g = r - -2. Let l = 2 + g. Solve 5 = l*a + 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - (22 + -11) - -5. Let x(o) = -8*o - 11. Calculate x(c).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 83*u - 79*u, -2*s - u + 17 = 0. Solve -2 = 2*c + y, -s + 10 = y for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**3 + 19*q**2 + 16*q + 21. Suppose -2*h = -5*h - 3*k + 39, 3*h - 4*k = 18. Calculate the smallest common multiple of h and t(-7).\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 2*w + 13, -5*z = -0*w - 5*w - 50. Let o(c) = c**3 + c - 4. Let b be o(0). Let s be 66\/b*8\/(-6). What is the highest common divisor of s and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1089 - -1093. Solve 0 = -r*y + 37 - 37 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**2 - 11*y. Let s be q(8). Let f be (-33)\/s + (0 - -3). Let z = -9\/5 + f. Which is the third smallest value? (a) z (b) -5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8619?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1406*m**3 - 2*m**2 - 797*m wrt m.\nAnswer: -8436*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*k*p**4 + 2*k*p**3 + 660925*k*p**2 + k - 49*p**4 + 144*p**3 - 2*p**2 - 3 wrt p.\nAnswer: 456*k*p + 12*k - 1176*p + 864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 7, -3\/5, -0.02, -4\/31?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38269101?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 41, 70, 123, 206, 325, 486, 695?\n\"Answer: d**3 + 6*d**2 + 4*d + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 11 - (-17 + 48 - 25).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -21 - -288545?\nAnswer: 288524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r. Let v(a) = -141*a**2 - 2*a - 1081377. What is v(s(m))?\nAnswer: -564*m**2 + 4*m - 1081377","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 44 = -4*g, -16*g = -5*j - 13*g - 47 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u + 39. Calculate w(20).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 11*v**2 + 10*v + 1. Let n be z(-10). Let c(y) = -17*y**3 + 1. Let p be c(n). Let l be 72\/p + (-1)\/(-2). Is l less than or equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 - u + 45. Let v be f(0). Let a = 33 + -79. Let p = -37 - a. Calculate the greatest common divisor of p and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16246*r + 5149*r + 5549*r + 5533*r.\nAnswer: -15*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, w: 1, p: 3, f: 2, i: 1}. What is prob of picking 1 p and 1 f?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - (-3 - 3))\/1. Suppose b*s = s + 20. Solve -3*z - 4*g = 1, -3*z + 12 + 23 = -s*g for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f*f*f**1\/f*f)))**6\/(f**(-2\/17)\/(f\/((f\/(f*f**(-3\/4)))\/f))) assuming f is positive.\nAnswer: f**(1317\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 8571096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.25+-537\nAnswer: -536.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i - 1. Let j(h) = -h**2 - 5*h. Let q(o) = -j(o) - 4*z(o). Let x be (3\/2)\/(1\/2). Is q(x) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c*c**(-1\/6))\/c)**(3\/38)*c*c**(-2\/19)*c\/(c*c*c\/(c**(1\/25)*c)*c) assuming c is positive.\nAnswer: c**(-1899\/1900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(8)\/sqrt(4) + -1)*-5 + -4*sqrt(160)\/sqrt(5))**2 + -4.\nAnswer: -420*sqrt(2) + 1810","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - 12. Let g(k) = u*k - 3*k - 4*k + 0*k + 2*k**2. Suppose -2*h + 5 = 1. Calculate g(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 37240.19 millennia?\nAnswer: 37240190","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2009*r - 2026*r = -13107. Is 36 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9794.7 + 9795. Which is the third biggest value? (a) 3 (b) -14 (c) -0.08 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 (base 13) in base 15?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1533*i**2 - 1006*i**2 - 1227*i**2.\nAnswer: -700*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 0 + 8. Suppose 0 = 4*w - 8*w - 16. Let d be (0\/4)\/(w\/2). Put 3, d, u in ascending order.\nAnswer: d, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2755 is divided by 120?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*s - 70308 = 37023. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/3*(-2 - 1). Suppose 2*z = l*z. Suppose 3*q = 8*q - 15. Solve z*r + q = -3*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -25*l**3 + 2*l**2 - l + 1. Let g(q) = -q - 2. Let t be g(0). Is z(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -1.7. Let m = -0.4 - i. Suppose 7261 - 7420 = -53*c. What is the nearest to 1 in 1\/3, m, c?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 2*d + q, -3*d - q + 1 = -3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.51008023 to three dps.\nAnswer: 4.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.8 + 6.8. Let n = 1\/6 + -5\/6. Let h = -0.3 - -2.3. Which is the second smallest value? (a) h (b) f (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 24\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9928 + 19853 - 9946 + 14*c**2 + 2*c - 6*c**4 wrt c?\nAnswer: -72*c**2 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence igx when three letters picked without replacement from {i: 1, w: 1, x: 1, g: 1, e: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 3. Let a(k) = -2*k**2 - 5. What is 6*a(p) - 10*s(p)?\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 4092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, n: 12, w: 5}. Give prob of picking 1 w and 1 m.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 28*r**2 + 29*r + 60. Suppose 27*t + 804 + 384 = -17*t. Determine b(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + -1 + -1 - -3. Let r be y\/(((-22)\/(-1))\/2). Suppose 11*t + 26 = 5 + 10. Which is smaller: r or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1590, -1661, -1780, -1947, -2162, -2425, -2736?\nAnswer: -3095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.31 - -45.19. Let x = -51 + k. Put 0.04, -9, x in descending order.\nAnswer: 0.04, x, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7716236 divided by 2\nAnswer: 3858118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of -343*g**4\/2 - 588*g**3 - 756*g**2 - 432*g + 19. Factor v(l).\nAnswer: -2*(7*l + 6)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/96)\/(37\/(-592))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 7*c + 88. Determine m(-5).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009968 to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/15370 and 8\/53.\nAnswer: 15370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -1 - (-4 - -5)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3*i - 73. Determine d(19).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z. Let y be f(17). Suppose -82 - y = 3*u. Let j = u + 40. Sort 0, -1, j in ascending order.\nAnswer: -1, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -3 (b) 3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*l - 118*l - 203*l + 16*l.\nAnswer: -342*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 108 - 27 = 0. Suppose m = 5*h - 7*v + 4*v, 3*h + 11 = -5*v. Suppose 14 - 6 = 2*y. Solve 17 = y*s - h*z, -2*z - 22 = -5*s + z for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -1, -2, 50, 1 in descending order.\nAnswer: 50, 1, -1, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 4*n - 4*n)*(-8*n + 3*n + 4*n) - 4*n**2 - 5*n**2 + 3*n**2.\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -2*u**4 - 7918*u**3 + 605102*u**2 + 7918*u - 605100 = 0?\nAnswer: -4034, -1, 1, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -27b3?\nAnswer: -27b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(72) + -2*sqrt(72)*2)\/(sqrt(6) - sqrt(216)*-5 - 2*sqrt(24)\/sqrt(4)))**2 + -5)*-6.\nAnswer: 24582\/841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23043 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 0 + l**2 - 2*l + 0*l + l - 2*l + 8. Determine r(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -1310*c + 29645. What is h(23)?\nAnswer: -485","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 474*v - 3*v**3 - 447*v + 0 - 1 to l*v**2 + s + i*v**3 + t*v and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 21258.06 meters in nanometers?\nAnswer: 21258060000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from {t: 10, g: 4}?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -61*b**3*w - 2*b**2 - 12*w wrt b?\nAnswer: -366*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -13548 to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 10) to base 11.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 45*d**2 - 35*d - 35. Suppose q = -12*s + 11*s - 38, -3*q - 184 = 5*s. Let u(a) = -5*a**2 + 4*a + 4. Give s*u(y) - 4*c(y).\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.899979 + -2.9. Round i to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17.56*5\nAnswer: -87.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2736 divided by 4.\nAnswer: -684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16\/28 + 972\/14. Let t = g + -47. What is the remainder when 68 is divided by t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.54 in -2\/5, -0.71, 1, 2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1229.497 from 367163539.\nAnswer: 367164768.497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 589 - 588.985. Is 0.5 > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i + 199. Let b(y) be the first derivative of y**2\/2 - 1023. What is b(w(h))?\nAnswer: -2*h + 199","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -14*x - 40 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 51\/1949 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-8) + (104\/(-60) - -1). Let g(c) be the third derivative of 1\/12*c**4 + 0*c**3 + 0 + 4*c**2 - b*c**5 + 0*c. Factor g(o).\nAnswer: -o*(o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = u - 5*u, 5*i + 2*u - 2 = 0. Suppose 4*r - 4*q - 4 - 16 = 0, i*r - 5*q = 19. Let d be (-1 - r) + (1 - 2). Is d greater than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 845.85 and -256.\nAnswer: 589.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of 3\/5*v**5 + 0*v**4 + 0*v**2 - v**3 + 0*v + 2. Factor l(s).\nAnswer: 3*s**2*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*g**2 - 5*g**2 + g**2 + (-2*g + 2*g - 2*g)*(-g + 0*g + 0*g) + (-g + 2*g + g)*(g + g + 0*g) - g**2 - 3 + 3 - g**2 + 4*g**2 - g**2.\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 2*n - 4, -2*f + 3*n - 8*n + 10 = 0. Is 2\/9 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -201 - 232012?\nAnswer: -232213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -220.4 (b) -5\/13 (c) -3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 12. Sort s, 2\/7, 0.07.\nAnswer: s, 0.07, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 - 0.05427751667561\nAnswer: -0.45427751667561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - r + 294 = 234 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27804 and 168.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5\/3, 4, 3\/5, 0.031, -7.44?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/70 and 67\/3120.\nAnswer: 21840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 3589*n**2 - 3155*n**2 + 7326*n**2.\nAnswer: 582*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vnwnvuzr. Give prob of picking 2 n, 1 v, and 1 u.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4909*v**2. Let y(q) = -707*q**2. Determine y(b(g)).\nAnswer: -17037484667*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**3 + j**3 - j**3)*(-2 + 2 + j**2) - 212*j**5 + 210*j**5 - 110*j**5 + (0 + 0 + 2*j**4)*(-9 - j + 9).\nAnswer: -111*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b - k, 4*b - 7*k + 4*k + 5 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -w**4 - 2*w**3 + 3084*w**2 + 80*w + 8027 wrt w.\nAnswer: -12*w**2 - 12*w + 6168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 15*d**2 + 3*d + 17. Let i be m(-13). Let h = 3035\/4 + -745. Find the common denominator of h and 22*(-86)\/i + (-2)\/(-15).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 29*t. Let c(n) = -21*n + 359. List the prime factors of c(t).\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/11)\/m)\/m**(8\/7)*(m*m*m**6)\/m**(-2\/7) assuming m is positive.\nAnswer: m**(487\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/198722 and 5\/201688?\nAnswer: 13513096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 2*y - 100. Let o be (-2)\/4 - (-82)\/4. Let r = y - o. What are the prime factors of r?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 13, m: 6}. Give prob of picking 2 t.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 4*l - 72 = 0, 4*p - 27*l + 102 = -29*l for p.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**(-4))*u*u)\/((u**(-3)\/u*u*u)\/u))\/((u\/(((((((u*u**(6\/7))\/u*u)\/u)\/u)\/u)\/u)\/u*u))\/u*u\/(u*u**(-2))) assuming u is positive.\nAnswer: u**(34\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 5:24 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 15*i - 27. What is the least common multiple of 21 and f(9)?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 - 3 + 3)*(1 + 5 - 4) - 2 + 4 - 3)*(v - 17*v**3 - 3518 + 3518).\nAnswer: 153*v**3 - 9*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(sqrt(768)*-1) + 2 - ((sqrt(15) - sqrt(105)\/sqrt(7))\/sqrt(3) + -4)*-3)**2.\nAnswer: 5*sqrt(5)\/2 + 6405\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 3*p - 2*g - 33 = 0, 347*p - 346*p + 54 = 5*g for p.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 10 - 5)*(5*a - 2*a - a) + 2*a - a - 2*a + (1 - 3 + 1)*(5*a - 5*a + 2*a).\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*j - 25 = 16*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -633, -1225, -1817?\nAnswer: -2409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -7*m + 8. Let n(j) be the first derivative of -15*j**2 - 244 - 16*j**2 + 41 + 27*j**2 + 9*j - 20. What is 6*g(s) - 5*n(s)?\nAnswer: -2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 437550.\nAnswer: 2, 3, 5, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (2 - (-1 + 1)) + -6 + (750 - 760)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30553.\nAnswer: 30553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-312)\/(-5))\/(232\/(-60) - -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 8*j - 46. Let a(t) = -3*t + 1 - 6 + 13*t + t**3 - j*t + 9*t**2. What is the units digit of a(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 5*w + 48 = 0. Suppose -4*r - 10 = -2. Let p be (r - w\/(-3)) + 13. Solve -3*d = b - p, 3*d = 2*b + 3 + 3 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.53504 + 0.13504. Which is the fifth smallest value? (a) 5 (b) k (c) 4 (d) -4 (e) -54.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = a - 48. Let r be (50\/(-4))\/((-12)\/a). Let y = r - 11. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 6 = 0, 3*i = 2*i + h + 597. Find the third derivative of -i + 117*q**3 - 111*q**2 + 599 wrt q.\nAnswer: 702","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**11*x**15)\/(x*x\/x**(-2\/5)*x**(-6)*x) assuming x is positive.\nAnswer: x**(143\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(-5*k**5 + 221 - 221) - k**5 + 2*k**5 - 2*k**5.\nAnswer: 9*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-2)*(-1)\/5. Let r be (2 - 1)\/(-12 + 11). Is h < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -79.37 + 78. Let u = 161.31057 + -159.94. Let n = z + u. Round n to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11111 (base 3) to base 12.\nAnswer: a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/3)\/((-1)\/9). Suppose -r*k = -0*k - 57. Suppose -c + 54 = k. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4056 - 4056 - 34*d**2 + 22*d**2.\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 740640?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190 + 54 = -122*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -85497.767 + 341.3158.\nAnswer: -85156.4512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of l**3\/3 - 3*l**2\/2 - 9*l - 22. Let k be x(6). Solve -r + 2*b + k = 0, -4*r + b + 24 = -4*b for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -101*n + 7. Let h(j) = -266*j + 713. Let a(b) = 53*b - 130. Let z(i) = -11*a(i) - 2*h(i). Give 4*l(f) - 7*z(f).\nAnswer: -47*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.03 - -0.27. What is the smallest value in 0.16, -5, c?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 2*d + 5. Let t(o) = 18*o**2 + 13*o - 17. What is -4*b(m) - t(m)?\nAnswer: -22*m**2 - 5*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 320 and 85640?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64893 is divided by 73.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -27, -2\/5, 2, 1\/281, 11?\nAnswer: 1\/281","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 4, 1, -2 in decreasing order.\nAnswer: 4, 1, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 55 divided by 424\nAnswer: 55\/424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + r + 190 = -118, -3*r + 6 = 0. Suppose 2*q - 28 = 3*s + 16, -2*q = -5*s - 44. Calculate the smallest common multiple of d and q.\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -18, -25, -30, -33, -34, -33?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((1\/3)\/(-3 - -2))\/((-2)\/46902)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lcw when three letters picked without replacement from {b: 1, l: 1, c: 1, i: 3, y: 1, w: 1}.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 512 is divided by 208.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3 - 1032804*l**2 - 10328164*l + 24787536.\nAnswer: (l - 1032814)*(l - 2)*(l + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -u + 39, 2*u + 434*o + 30 = 430*o for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0 (b) -5 (c) 138.46 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2160031 is divided by 3268.\nAnswer: 3151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-4))\/(3888\/(-1728))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and -1.026455.\nAnswer: 6.15873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/16965 and -97\/33579?\nAnswer: 4868955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 4*m**3 + m**2 + 2. Let s be j(-2). Let u = s - -41. Is 5 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p**2. Let b(n) = 74*n**2 + 1239. Give b(q(h)).\nAnswer: 666*h**4 + 1239","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) 4 (c) 0.3 (d) 2965 (e) -1\/6 (f) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28141811 less than 28141812?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 14*a**2 + 16*a + 14. Let r be (-2)\/(-2*(-1)\/(-13)). Is b(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 + 6 - 6)*(1 - 5 + 2) + (-p + 0 + 0)*(-23 - p + 23) - 2*p**2 + 0*p**2 + 3*p**2 + 3*p**2 + 3 - 3 + (-2*p + 2*p + p)*(-4 + 4 + 2*p).\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -3*t + 4 - 5, 5*t = -v + 7. Let m be (2 - (v + -4)) + 2. What is the third derivative of m*h**2 - 5*h**3 - 26 + 26 wrt h?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 7*y + 128. Let u be o(-20). Let w be (4\/242)\/(1\/(3\/u)). Is w at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2336 + -9034\nAnswer: -6698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -45316178 divided by 964174\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2\/9, -1\/5, -4406 in increasing order.\nAnswer: -4406, -3, -2\/9, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 14*m + 475. Let l(z) = 8*z + 233. Determine -3*i(q) + 5*l(q).\nAnswer: -2*q - 260","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.000089 + -7. What is z rounded to five dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8661390 is divided by 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -702*a + 9717. What is u(14)?\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -4*x + 81. Is 1\/(4 + (-35)\/x) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a1b (base 12) in base 10?\nAnswer: -1463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84601.\nAnswer: 11, 7691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (183\/253 + (-44)\/506)\/((-13)\/(-13))?\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 4 + sqrt(304)*-1 + -5 + -5)**2.\nAnswer: 72*sqrt(19) + 385","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 47592818281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 42 - 318. Let z be h\/2 + (-12)\/(-4). Let a = 80 + z. List the prime factors of a.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (204\/9 + 2)\/(8\/12). Let u = -6 - -9. Suppose u*w - 134 = c. What are the prime factors of w?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 60000 to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -5*n. Let m(z) = 2*z**2. Give q(m(l)).\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9\/6)\/((-9)\/(-24)). Suppose -t*q + 84 = 2*q. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 6) to base 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -2 + (-22 - (16 + -17))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(102)\/(sqrt(6) - sqrt(96)*1).\nAnswer: -5 - sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/168 and 29\/96?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2927*m**2 + 52*m**2 - 1557*m**2)*(-5*m + 3*m - m) as q*m**3 + u + b*m**2 + v*m and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*v - 8*v = -10*v + 234 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 310*d + 171 + 227 - 404 as j*d + m and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 2:32 PM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 481 - 477 - (15 + -31)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 594.8 and -7.\nAnswer: 587.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21621265?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.124 - 0.194. Let u = -0.9300083 + l. What is u rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}