diff --git "a/data/dm_maths/full_data_1/10976_11255.jsonl" "b/data/dm_maths/full_data_1/10976_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10976_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Express 17*x**2 - 3 - 5 - 79*x**2 + 29*x**2 in the form k + d*x**2 + y*x and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*i**2 + 2*i**2 - 4*i**2 + (1 + 3 - 5)*(2*i - i**2 - 2*i) + 0*i + i**2 + 0*i + i**2 + 3*i**2 - 3*i**2 - 2*i**2 - i**2 + 2*i**2.\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 254 + -138. Let n = -128 + q. Let y = -8 - n. Solve 0 = y*t - 2*t - 4*z - 4, -20 = 2*t + 4*z for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4 = 4*t, 0 = -2*t + 3*n + 6 + 4. Suppose -685 = -t*a + 1105. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v + 5. Let b(d) = -d**2 + 33*d + 589. Let y be b(-13). Let c(u) = -7*u - 21. Calculate y*g(w) - 2*c(w).\nAnswer: -4*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 3*g - g)*(19*g**2 + 60 - 60)*(-2 + 4 - 3) + (g**2 + 0 + 0)*(2*g + 2*g + 2*g).\nAnswer: -13*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.18 + -0.31897.\nAnswer: -0.13897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*n + 2*n**2 - 28*n - 949 + 1894 - 944 + 80*n**3 to the form r*n**2 + s*n + c + p*n**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4445 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -103 - -106. Find t, given that -t**2 - 3*t - 2*t + 54*t**z + t - 56*t**4 + 7*t**2 = 0.\nAnswer: -2\/7, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 227384769?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30907?\nAnswer: 31, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q - 1. Let h be b(2). Let d be 0 - 0 - h - -5. What is the remainder when 22 is divided by (d\/(-10))\/(2\/(-60))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4709696 is divided by 488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 101 - 23 = -4*y, 5*y = 2*g + 47. Is 17 a factor of g*(19\/(-10) - 4\/(-10))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = 6*o - o. Let k(n) = -n - 4. Calculate the remainder when o is divided by k(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -6*s**2 + 200*s - 66. Calculate i(33).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1195*z = 1199*z - 8. Let -2\/9*a + 0 + 0*a**z + 2\/9*a**3 = 0. Calculate a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2515 - 458720.7\nAnswer: -456205.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**5 + 168*q**4 - 1659*q**3 - 24114*q**2 + 111228*q - 115320 = 0.\nAnswer: -10, 2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.507341l in millilitres?\nAnswer: 5507.341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/8*-4 - (-2)\/(-4).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -10\/13, 23, 0.4, 0.5, -3, -0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41 + 25. Let s = x - -26. What is the highest common divisor of 15 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*t - 11 = 0, -2*z - 12 = -4*z - 2*t. Suppose -2*f = 3*f + 15. Sort 5, f, z in increasing order.\nAnswer: f, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.8 + 1.03. Which is greater: 2\/3 or l?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11032?\nAnswer: 2, 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-415)\/498 - 47\/(-6). Let l be (-1 - (-35)\/49)*k\/(-5). Factor -4\/5*z + 2\/5*z**2 - l + 4\/5*z**3.\nAnswer: 2*(z - 1)*(z + 1)*(2*z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 4*p**2 + p + 3. Let k be t(-4). Let c be (0*k\/3)\/1. Is 2 at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 0 - (-12 - -8) - 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, 205, 814, 1999, 3952, 6865?\nAnswer: 10930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -1\/4, 0.1, -2\/11, -3\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b0 - -a17a81?\nAnswer: a17991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*w**3 + 35*w + 5 - 20*w - 13*w as x*w**3 + g*w + h + y*w**2 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 24 = 2*s, -84 = 3*s - 8*s - 4*z. Let g be (12\/(-10))\/((-8)\/s). What is the third derivative of -9*m**2 - m**g - 11*m**4 + m**3 + 0*m**4 wrt m?\nAnswer: -264*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of o**5\/60 - o**4\/18 + o**3\/18 + 8*o + 4. Let l(v) be the first derivative of m(v). Factor l(b).\nAnswer: b*(b - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/99 and 101\/60280?\nAnswer: 542520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 52793915263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 33\/(-15) - 2\/(-10). Let b = 0 - f. Let z(j) = 42*j - 3. Let a be z(b). Calculate the greatest common divisor of 9 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 - 4*c + 5. Let a be m(5). Let q = 1 + a. Let p = -6 + q. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.02 (b) -17 (c) -3 (d) 2\/9 (e) -125\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 57887605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/120680 and -55\/14.\nAnswer: 120680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 53.949 + 0.051. Let n = 18070.0028 + -18124.0028012. Let r = s + n. What is r rounded to 7 decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/1)\/((-21)\/(-70))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -137*p - 3. Let v be w(-2). Let i = 1894\/7 - v. Which is the nearest to 6? (a) 5 (b) -2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(315)*2 + (sqrt(315) - (sqrt(315) - -2*sqrt(315))*-5) + sqrt(315))\/((sqrt(90) - (sqrt(90) + 1*sqrt(90)) - sqrt(90))\/sqrt(2)).\nAnswer: -23*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*((-7)\/((-84)\/40))\/((-40)\/20)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/9 - (-1)\/3. Let j be (-1704)\/3976 - (-4)\/14. Let v = 0.1 - 0.2. What is the nearest to v in j, -1, z?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*b**2 + 0*b**2 + 7*b**3 - b**2 wrt b.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/(sqrt(1296)\/sqrt(9)))**2.\nAnswer: 13\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2191 is divided by 336.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23330204023 - -20?\nAnswer: -23330204003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6621 = -z - 2*r + 6362, -3*z - 2*r + 38921 = 0. List the prime factors of z.\nAnswer: 3, 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -69416 and -69417 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 4.076845 decades?\nAnswer: 0.4076845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 10:16 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3307 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -77169 - -110972. Suppose -3197 = 5*w + b. What is w rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 15 = -5*w, 229*w = -2*b + 227*w for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 7 + 8)*(-2 + 15 + 25)*(-1 + 1 - i).\nAnswer: -494*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13378 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13340566 is divided by 254?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 728 and 16926?\nAnswer: 67704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 85032897 - 5?\nAnswer: 85032892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12836?\nAnswer: 2, 3209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31*h**4 + 2*h + 23?\nAnswer: 372*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 - 34140*s - 1230331. Calculate b(-36).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24320 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -374 = 36*t - 70*t for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -3 (b) 0.11 (c) 3 (d) 2\/9 (e) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 + 5*(-7)\/(-140)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**2 + 24*k - 30. Is u(2) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -73 + 72.967. Let y = 0.967 - n. Suppose -16*h = -19*h. What is the nearest to y in 4\/5, -4, h?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (3731\/(-1456))\/((-2)\/4)*2?\nAnswer: 41\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*u**2 - 4497988*u - 13493928 = 0. Calculate u.\nAnswer: -1124494, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 1:21 PM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-16)\/10) + 0.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/9)\/(((-28)\/7)\/24)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -7116.30381 to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15524, -65300, -148254, -264386, -413696?\nAnswer: -596184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 597101117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = l - 9, 0 = -4*l + 8*d - 3*d + 27. Let j = 718 - 716. Solve 2*o - 10 = -0*f - j*f, -5*f = l*o - 17 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 115 (base 6) to base 8.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(3\/16)*((((o**(2\/17)\/o)\/o)\/o)\/o)\/o assuming o is positive.\nAnswer: o**(-1277\/272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + w + 22. Determine b(0).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 44688 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6179.569 millennia to centuries.\nAnswer: 61795.69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -h + 3, -2*k = 5*h - 3*k - 19 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6\/403 - -10893\/806. Let r(g) be the first derivative of 324\/5*g**5 + 135\/2*g**4 + 9\/2*g**2 + i*g**6 + 6 + 28*g**3 + 0*g. Determine j so that r(j) = 0.\nAnswer: -3, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-26))\/(208\/6760)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*w - 986 - 22 = 0 for w.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that n**4\/2 + 319*n**3\/2 - 641*n**2\/2 + 321*n\/2 = 0.\nAnswer: -321, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 4*m**2 + 5*m - 5. Let v = -200 + 195. Let j(q) = -6*q**2 - 8*q + 8. Let w(l) = v*j(l) - 8*t(l). Let k(i) = -16*i. Calculate w(k(u)).\nAnswer: -512*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**2 + 3*k - 1. What is the least common multiple of v(-3) and 8 - (-2 - 4\/(-1))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*(g**(-8)*g)\/g*g*g))**(14\/5)\/(g\/g**(-20)*g\/(g\/g**(-3\/4))) assuming g is positive.\nAnswer: g**(-69\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -653750*c**4 + 1131410*c.\nAnswer: -7845000*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00815154118 to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.2, -0.282, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 311 - -749. What is y rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -23, -2, -4 in decreasing order.\nAnswer: 12, -2, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7 - (3 + (-4)\/(-2)). Let r be i\/(-12)*3*0. Solve r = -0*o - 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of -p**5\/240 + 19*p**4\/96 - 3*p**3\/4 - 2*p**2 + 16*p. Suppose l(z) = 0. What is z?\nAnswer: 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + z**2 + 8*z + 0*z**2 + 2*z**3 - 9*z - 1. Calculate n(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -72*t**2 - 7 - 3*t + 124*t**2 + 20. What is the tens digit of s(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddjvsddjssdcdsvcc. Give prob of sequence jdcv.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 62 and 149 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10404 and 102?\nAnswer: 10404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-15)\/5 - 7)\/(-2). Let m = 3 - 0. Suppose 0 = 2*l - 4*k - 26, 5*l - m*k = k + 41. Calculate the greatest common factor of l and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2210 = -5*o - 55*o - 136*o + 5238 for o.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: 74 divided by -38\nAnswer: -37\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**2. Let v(r) = 5*r**2 + 3*r + 3. Let i(o) = 4 - 7*o**2 + 3*o**2 - 1 - 5 - 2*o. Let z(a) = -6*i(a) - 4*v(a). Calculate z(n(l)).\nAnswer: 16*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -m*x**4 - 1345*m*x**3 + 14240187*m*x**2 + 42*x**4 - 2*x**3 + 2*x**2 wrt x?\nAnswer: -24*m*x - 8070*m + 1008*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -6*o + 14. What is w(6)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n**2 - 27*n + 105. Let f(g) = -4*g**2 - 41*g + 157. Let k(a) = -5*f(a) + 7*i(a). Let m be k(10). Calculate the highest common factor of 130 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -46 + ((17 - 32) + 19 + -11 - (-2 - 5)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12262432 = 71*v + 111*v. List the prime factors of v.\nAnswer: 2, 4211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -34*u - 7. What is the units digit of h(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s**0\/s)**(1\/30))**(-3\/7))**(1\/35))**(-23) assuming s is positive.\nAnswer: s**(-23\/2450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0\/(-3 + (-3 - -3)))\/(-1). Suppose 0*m + 11*m - m = l. Solve m = -4*v + 4*j - 9 + 1, 2 = 3*v + 5*j for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*w**2 + 150*w**2 - 35*w**2 to the form y*w + u + b*w**2 and give b.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2 = -0. Suppose -k*f + 2*w + 9 + 5 = 0, 4*f - 2*w = 24. Suppose 2*b = 2, -f*o - 6*b + 2*b = -129. Calculate the greatest common divisor of o and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pjplpjrjlp. What is prob of sequence rjjl?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/(-352) - 25\/(-112))*14*(-45)\/(-324)?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.067163 times 8.079\nAnswer: 0.542609877","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b\/(b**(-5\/3)\/b)*b*b*b*(b\/(((((b\/(b*b\/b**(-7)*b))\/b)\/b)\/b)\/b))\/b)**(9\/7)\/(((b\/(b\/b**(-1)*b)*b)\/b*b)**2)**(2\/11) assuming b is positive.\nAnswer: b**(2173\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 a when three letters picked without replacement from azawzyana.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -101507, -203019, -304531, -406043, -507555?\nAnswer: -609067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110111 + -110111?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13700 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3523*t + 1893*t + 1729*t.\nAnswer: 99*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3558 take away -0.026664?\nAnswer: -0.329136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3496 and 2024?\nAnswer: 38456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16357 + 7960. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/k**1*k\/k**(-3\/8)*(k\/k**(-4))\/((((k*k\/(k\/(k\/(k**(1\/6)\/k))*k)*k)\/k)\/k)\/k)*((k*k*k**(-4))\/k*k*k*k\/k**3)**(-15\/2) assuming k is positive.\nAnswer: k**(697\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16*y + y**3 + 19*y + y**3)*(51 + 95 + 76) to the form u + o*y + z*y**2 + q*y**3 and give q.\nAnswer: 444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 8:41 PM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/242? (a) -3\/2 (b) -51 (c) 1\/2 (d) -2 (e) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1438.\nAnswer: -1439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a\/(((a\/a**(3\/10))\/a)\/a))\/a))\/(a*a**(-21)\/a*a))\/((a*a**5)\/(a\/a**(-1\/49)*a)) assuming a is positive.\nAnswer: a**(7703\/490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -83 - -87. Is 11 a factor of (-5)\/10 - ((-654)\/i)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.8510576 to two decimal places.\nAnswer: -20.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/8*0)\/2. Let z(n) = -8*n + 5*n**2 + o*n - 1124 + n**3 + 1117. Give z(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 20*b**3 + 1 - 15*b**3 + (b**3 - b**3 + b**3)*(-3 + 4 + 3) + 3 + b**3 - 3 to u + r*b**3 + q*b + i*b**2 and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 4, -3.\nAnswer: -3, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*m - 705 = 26*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -g**2\/2 + 3*g - 4. Differentiate y(v) wrt v.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 2, 0.3, -2\/5, -0.01?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s**2 + 4*s + 4. Let r be h(4). Calculate the highest common factor of r and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -2*w**5\/9 + 2902*w**4\/9 - 225632*w**3\/9 - 221312*w**2 = 0.\nAnswer: -8, 0, 91, 1368","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k*k**20))\/(k*k**(-1\/6)*k))**(-2\/111))**(-11\/4) assuming k is positive.\nAnswer: k**(-1441\/1332)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 20741 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a decade in years?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 7. Suppose 5*s = -4*u + 6, -2*s + 4*u + 10 - p = 0. Suppose 2*j - 24 = -5*y, j - s*y = -j + 10. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 minus -1808954?\nAnswer: 1808954.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, d: 6}. Give prob of picking 2 g.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 140*y**2 - 5*y - 31. Let h(k) = -49*k**2 - 1. Let l(d) = c(d) + 3*h(d). Let r(i) = 15*i**2 + 11*i + 68. Determine -13*l(p) - 6*r(p).\nAnswer: p**2 - p + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**8*o)\/o)\/((o*o\/o**(-7))\/o*o)*o**(-2)\/o*o\/o**(-7) assuming o is positive.\nAnswer: o**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c**(7\/6)\/c)*c*c*c*c**4)\/(((c\/(c**(-2\/5)*c*c)*c)\/c)\/c**8) assuming c is positive.\nAnswer: c**(523\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of (9044\/35)\/(3\/30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2 + 0*l**2 + l**5 + 43*l**3 - 42*l**3 - 5*l**4 + 20*l**2 - 18*l.\nAnswer: l*(l - 3)**2*(l - 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 2 u, and 1 t when four letters picked without replacement from otuouqtoueeouuqueuue?\nAnswer: 112\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v**3 - 5*v**3 - 10*v**2 + 5*v**3 + 10*v**2.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yj when two letters picked without replacement from {i: 8, y: 9, j: 1, b: 2}.\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + ((5 - 12) + 4 - 16)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31 + -3003231330311?\nAnswer: -3003231331002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -528\/7 - -23239\/308. Suppose 4*a = 24, -12*s + 8*s - 4*a = -20. Is s >= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14410)\/6550*1*-10?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 1 = a + a, -4*z + 3*a + 1 = 0. Let v = 1\/35 + -3\/7. Which is greater: z or v?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*p - 3*y, 3*y + 1 - 12 = 5*p. Let z be p - (1 - 2 - 4). Determine x, given that -4*x + 6*x**z + 8*x**3 - x**2 - 2*x**2 + x**2 = 0.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4*x - 664926 = 0, 13*x = -5*y + 12*x + 1662271. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -105 - -157. Calculate the remainder when c is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -6 (b) 0.5 (c) 0.3 (d) 29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x. Let b(r) = -r. Let d(v) = -4*b(v) - j(v). Let n(m) = -m**2. Calculate d(n(l)).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + t - 3*t - 5)*(-292 + 48*t**2 + 292) as q*t**3 + x*t + d*t**2 + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219548.\nAnswer: 2, 7, 7841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 263560152?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/13 in 244, -6, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 232692233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 + -32 - 2\/(-2). Let t = c - -103\/3. What is the third smallest value in 5, -0.3, t?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.145, 2\/21, 1, 305?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5945 is divided by 2972.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-15)\/(-5) - (1 + 0). Let t = -12 + 16. Find the third derivative of -6*x**2 - u*x**t + x**2 + 0*x**4 wrt x.\nAnswer: -48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4006214 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/16105089 and -26\/31?\nAnswer: 16105089","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 3*d + 4. Suppose -3*w + 6 = 0, 3*w = k - d*k + 36. Suppose 4*q - 15 - 17 = 0. Calculate the lowest common multiple of k and q.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 5*t - 5. Let v(w) = -1. Determine 2*m(k) - 10*v(k).\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 55 + -111\/2. Let d be 30\/(-9) + 21\/7. Put d, 5, g in increasing order.\nAnswer: g, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.32 + -0.18. Let o = -0.26 - s. What is the smallest value in 2\/9, o, -0.07?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159026 greater than 159025?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5332\/43*(-16)\/((-224)\/21)*(-3)\/9.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14680900 by -982.\nAnswer: -14950","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p. Let r(a) = -3*a**2 + 29. Calculate u(r(g)).\nAnswer: -6*g**2 + 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*b - 15 = 5*q + 135*b, 0 = -q + 5*b - 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1518\/(-286))\/(1\/(-130)*-10).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v\/v**(-3\/7))\/v)*v**(-11))\/((v*v*v**31)\/(v*v**24)))**(2\/19) assuming v is positive.\nAnswer: v**(-258\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 5*t - 1. Let s be u(5). Let g(k) = 323*k**2 - 2*k - 296*k**2 - 1 + 2*k. What is the remainder when g(s) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**3\/(y\/(y*y\/y**(1\/5)*y)))\/(y*y**(-2\/5)\/y*y*y**0\/y))**(-2\/131) assuming y is positive.\nAnswer: y**(-52\/655)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -9\/4921 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 15*q**2 + 4*q - 1. What is the tens digit of i(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2. Let u(c) = -4*c**2 - 5. Let p = 0 - -5. Let l(v) = -4*v**2 - 6. Let o(d) = p*l(d) - 6*u(d). What is m(o(i))?\nAnswer: 16*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o + 3*o**2 - 4*o**2 + 9*o + (3 - 3 + 2*o**2)*(-3 + 0 + 2).\nAnswer: -3*o**2 + 5*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3113130302 (base 4) to base 15.\nAnswer: 126722","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2586718110.\nAnswer: 2, 3, 5, 167, 521, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (1\/3)\/(((-2)\/(-5))\/2)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rciddeaiecercic. What is prob of sequence ae?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 75799?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12090 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/13158 and -57\/68?\nAnswer: 26316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = 3*l + 13, 422*a = 419*a + 2*l for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**3 - 21*l**2 + 10*l - 10. Calculate k(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 10012202002010 (base 3) to base 14\nAnswer: 326315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, t: 4}. What is prob of sequence ccc?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/1)\/(3\/9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 4*r + 8*r - r - 14. Let k(n) = 4*n - 5. Let d(v) = 8*k(v) - 3*s(v). Let c be d(0). Put -0.3, 1\/4, c in decreasing order.\nAnswer: c, 1\/4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -87430705 or -87430714?\nAnswer: -87430705","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 22. Suppose 0 = 6*v - 4*v + 5*m + 17, v + r = -2*m. Let k be (-3)\/(-66)*v\/4. Which is bigger: k or -5\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 155*p - 161*p + n - 2, 0 = 5*p + 5*n + 25. What is the closest to 0.2 in 0.008, p, 2\/5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 15 = 3*b. What is the units digit of 58 + b + -4 - 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -6*i + 28. Suppose -3*q = -q - i. Does 7 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832)*1*2*-6 + 2 + (2 + sqrt(832) + sqrt(832) + -1 - sqrt(832)))*2)**2.\nAnswer: -2112*sqrt(13) + 402724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1572109754?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 12:07 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2236981 divided by -19\nAnswer: -2236981\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2655848493 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x - 9 = 33. Suppose 96 = 5*t + x*f, 1 = -t + f + 17. Suppose -3*y - 38 = -a - 6*y, a - 58 = 2*y. Calculate the remainder when a is divided by t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 36*c + 84 - 372 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 2 = -3*w. Suppose 50 = -w*i + 10*i. Let v(a) = 11*a + 25. What are the prime factors of v(i)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = g - 9, 3 = 2*g - 5*g. Let s = -5 - y. Let b(c) = 2*c - 43. Let z be b(22). Solve 6*j + z = 3*j + d, -d = -5*j - s for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 10 = 5*p, 442*p + 2*f - 7 = 444*p - 3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -48*y**3. Let t be -6*(-9)\/18*5. Let s(z) = 7*z**3. Give t*s(p) + 2*c(p).\nAnswer: 9*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/9, -3, 1\/5, -9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 10:31 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 4*m**2 - 2*m - 2. Let k be s(2). Suppose 7*d - 46 = -16*d. Let w(b) = -5*b**k - 3*b**d - 1 - 5*b + 4*b. Determine w(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.6 - 0.4. What is the third smallest value in -0.1, y, -0.12?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160458615?\nAnswer: 3, 5, 3565747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 69043087 * -4.\nAnswer: -276172348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t**3 + 3*t**2 - 2*t. Let d = 154 - 148. Let q(z) = 6*z - 35. Let u be q(d). Suppose 2*a = -0 + 4. Let o(w) = -w**2. What is a*o(l) + u*v(l)?\nAnswer: -2*l**3 + l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -102, -4, 23 in descending order.\nAnswer: 23, -4, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2\/27)*l\/(l*l\/l**(1\/4)*l) assuming l is positive.\nAnswer: l**(-197\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*u = -3542 + 9653. What are the prime factors of u?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 63 + -58. Let j(p) = -4*p + 4*p - u*p + 11. What are the prime factors of j(-27)?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/24)\/(2\/292). Let d = o + -25. Is -3 at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g. Let i(x) be the first derivative of -x**3 + 63 + 17 + 17 + 80 + 3*x**3. Determine i(f(d)).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/3 - 8864*g.\nAnswer: -g*(g + 26592)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3*d + d + 356 = 0, 5*d = 3*v - 534. Let z = v + -105. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 7:57 PM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w, -4*i = -8*w + 3*w - 8. Solve 1 = u, -i*u + 0*u = 2*t + 8 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387.8932 millilitres in litres?\nAnswer: 0.3878932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -5*b + 29, -4*b + 28 = -0*r + 4*r. Suppose 1 + r = 2*f. Do f and 2 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-39 - 0) - (71 + (-194 - -135)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101723.\nAnswer: 101723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3262 + 7?\nAnswer: -3254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -k**4\/12 - 5*k**3\/6 + 3*k**2\/2 + 13*k. Let m be f(0). Is ((-1)\/m*-3)\/(2\/292) a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13224850*-0.3\nAnswer: -3967455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c + 3b92b?\nAnswer: 3b91c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - 2*z + 5. Let w(c) = c**2 - 8*c + 10. Suppose 3*t = 2*v - 17, t + 27 = 4*v + 2*t. Calculate the remainder when n(0) is divided by w(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a century in years?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 5*m + 245, 3*d + 2*m - 103 = 39. Does 4 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33 (base 15) to base 9.\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -45\/16*x**4 - 16 + 0*x + 3\/4*x**2 - 1\/4*x**3. Suppose d(w) = 0. Calculate w.\nAnswer: -2\/5, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 + -23 + 24 + 9.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 286042170, 286042171, 286042172?\nAnswer: 286042173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -720053*n + 28. Let o(d) = 7*d**2. Determine t(o(p)).\nAnswer: -5040371*p**2 + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cclmmlnpllclpympnll. Give prob of picking 1 y and 2 m.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 3*r = -5*c + 5210, r + 4*c = 1739. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -7\/4, 160?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 3268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 1.9. Let s be 4 + -1 + 4*(-1)\/(-2). Which is the nearest to u? (a) -0.4 (b) s (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1071719964 to the power of 1\/3, to the nearest integer?\nAnswer: 1023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7083174420.68008297 - -7083174381. Let y = u - -39.68. What is y rounded to six decimal places?\nAnswer: -0.000083","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -3. Suppose f*w - 5*h - 1 = 9, h - 79 = -5*w. Let y = -1 + 1. Solve 3*l + w = -y*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, c: 1, u: 7, v: 8}. What is prob of picking 2 x?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*t**2 + 73*t**3 - 77*t**3 + 0*t**4 + 2*t**4.\nAnswer: 2*t**2*(t - 3)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 3 + (3 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(45\/(-6))*(34848\/572)\/(-22).\nAnswer: -24\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 5:53 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -464125928 divided by -28?\nAnswer: 16575926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1592120.\nAnswer: 2, 5, 53, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*z = 6*z + 27 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36153 and 90990.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*u**4 + 8*u**3 - 141.\nAnswer: 32*u**3 + 24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.395139 to 1 dp.\nAnswer: 16.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 1892 = -7*t - 1972 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(3\/5)\/g)\/(g**5\/g))\/(g**(-7\/6)*g**3))**9 assuming g is positive.\nAnswer: g**(-561\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -1202*d + 378. What is the hundreds digit of a(-43)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-3)\/12*(-84)\/63\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8643803?\nAnswer: 7, 17, 19, 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 (base 10) in base 14?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*h - 4*j - 127 = 62*h, 31*j + 703 = 2*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 826649?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4a (base 12) to base 11.\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - g - 7 = 0, 0 = -3*g - 2 - 10. Suppose -y*p = -3*n, p = -0*p + 4. Find the third derivative of 2*u - 2*u - n*u**3 + 9*u**3 + 3*u**2 wrt u.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3\/5, 3894, -22, -28 in increasing order.\nAnswer: -28, -22, -3\/5, 3, 3894","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17052 is divided by 8516?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or 5\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11.61 + 3475.872825.\nAnswer: 3487.482825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9439483602917348.9999923 - 9439482837332639. Let r = o + -765584537. Let m = r - 173. Round m to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 6. Suppose -4*k + t*m = -m - 26, 2*m = -4. Let o be k\/9*(-6)\/(-4). Solve 0 = -3*h - o + 10 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4*q**3 + 8*q**2 - 2*q - 1. Let y(n) = -4*n**3 - 9*n**2 + 3*n + 1. Calculate -3*l(g) - 2*y(g).\nAnswer: -4*g**3 - 6*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.024707269 to 5 dps.\nAnswer: -0.02471","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -1. Let s(i) = -i + 5. Let k(h) = -20*d(h) - 4*s(h). Let a(m) = -7*m. Let u(g) = 22*g. Let p(z) = 16*a(z) + 5*u(z). Give p(k(j)).\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 599390*b - 16*b**3 - b**2 + b**2 - 599390*b.\nAnswer: -16*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 130113422 (base 5) in base 13?\nAnswer: 19053b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*s**3 - s**2 + 70 + 6*s**3 - 72 - 3*s - 7*s**4 as f*s**2 + o*s**3 + g + y*s + b*s**4 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -6*n - 216. Calculate j(-34).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -22222 - 2565?\nAnswer: -25007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/9, 0, 0.068, -2?\nAnswer: 0.068","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -7*a - 15 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1605 + -4?\nAnswer: 1601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1235215?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**2 + 18*s + 42. Let c be m(-3). Let j(w) = w**3 - 5*w**2 - 7*w + 2. Calculate j(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - o = -77, -n - 6 = 2*o + 2. Let y be ((-3)\/n*-4)\/(4\/12). Sort -5, y, 3, 0 in increasing order.\nAnswer: -5, y, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2308750571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -1 + (-1 - 2) - -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 338831080 and 6.\nAnswer: 1016493240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10 is divided by (-2)\/15 + 1284\/180?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7255*c**2*j**3 - 10*c**2*j**2 - 2*c**2*j - 3*c**2 - 27*c*j**3 - 95337*c*j - 5*j wrt c?\nAnswer: 14510*j**3 - 20*j**2 - 4*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/13*q**4 - 2\/13*q**2 + 0*q + 0 - 4\/13*q**3.\nAnswer: -2*q**2*(q + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - 9*o - 8. Let x be y(-7). Let s = x - 2. Solve u + s*i + 29 = -4*u, u + 3 = 2*i for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -w + 6. Let t = -4 + 1. Suppose 153*o + 18 = 2*u + 157*o, -2*o = -8. Put -4, w, u, t in increasing order.\nAnswer: -4, t, u, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 2, 16\/16201?\nAnswer: 16\/16201","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49520 = 622*d + 815*d - 6523 for d.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 4:40 PM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 6*b**2 - 2*b + 4. Does 5 divide m(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 5:30 PM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 442259.\nAnswer: 71, 6229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 1010100110101?\nAnswer: 1010100110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31.9 - -27.93. What is c rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -5\/21717?\nAnswer: -5\/21717","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = 2*y + 15, 6*y + 136 = 7*y + 20*m for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12345*u**2 - 6542710*u + 74200.\nAnswer: -5*(u + 530)*(2469*u - 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 - 18. What is the second biggest value in -5, -6\/7, y?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/72 and -103\/2832.\nAnswer: 8496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -22014, -22007, -21990, -21963?\n\"Answer: 5*j**2 - 8*j - 22011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4709, 9418, 14127, 18836, 23545, 28254?\nAnswer: 32963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -9. Let d = 0.46 - -7.54. Let n = d + t. What is the biggest value in n, -2, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3035 + 2740. Which is greater: -4 or m?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express -11154048 - 7585*j + 11154048 as q + k*j and give k.\nAnswer: -7585","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c - 5. Let z(q) be the first derivative of -q**2\/2 + 2*q - 2. Let y be 1\/(2 + 23\/(-11)). What is y*z(t) - 4*u(t)?\nAnswer: -t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -228251*g**5 - 17575*g**2 - 2*g.\nAnswer: -13695060*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -52377*l**3 - 5*l**2 - 5*l - 3. Let m be d(-3). Suppose -2*s - 1665854 = m. Round s to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/2412090 and -63\/40.\nAnswer: 9648360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 4:10 PM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -7177, -501, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -h**4\/4 + h**3 + h**2 - 5*h + 4009. Suppose 2 - 5 = -s. Let g be r(s). Which is bigger: g or -1\/18?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = r - 0. Suppose -r = -5*p + p. Suppose 3\/4*i - 1\/2 - 1\/4*i**p = 0. What is i?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) -2\/5 (b) 0.029 (c) 101 (d) 2\/17 (e) 4.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*d + 378 + 54. Solve -4*t = 2*m + 14, 4*m + 13*t - d*t = 27 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q + 3 - 80*q**3 + q**4 - q**2 + 2*q**2 + 174*q**3 - 4*q - 70*q**3 to the form l + v*q**3 + m*q**2 + a*q + y*q**4 and give v.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/2 (b) -1 (c) -10 (d) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-3\/22)*b**11\/b assuming b is positive.\nAnswer: b**(217\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyyy when four letters picked without replacement from yeyyeeeyeeyeyyeeyy?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-40))\/(157\/(-7065)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i\/i**(1\/8)))**(-3\/29))**29)**(-25\/2) assuming i is positive.\nAnswer: i**(75\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a6a1aa (base 12) in base 5?\nAnswer: -2414210044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 829 (base 13) in base 15?\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 169139, 169141, 169143, 169145?\n\"Answer: 2*k + 169137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x - 2321 + 6601 = 0. Does 39 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 139*a**3 + 165*a**3 + 2 - 276*a**3.\nAnswer: 28*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2371*m + 1626*m - 3940*m.\nAnswer: -4685*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 14*i**2 - 1. Let v be u(-1). Let c = v - 11. Which is smaller: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 58392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of 0*b**3 + 3\/4*b**4 + 1\/168*b**8 + 4\/105*b**7 - 2\/5*b**5 - 1\/30*b**6 + 0*b - 157*b**2 + 0. Solve t(s) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(8) - 4*(0 + sqrt(2)) - ((-2*sqrt(12))\/sqrt(6) + sqrt(242) + 0 + sqrt(242)).\nAnswer: -22*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 203031 - -213120?\nAnswer: 1022211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -7 - 5. Let w = -10 + u. What is the third derivative of l**5 + 37*l**w + 2*l**5 + 2*l**5 - 36*l**2 wrt l?\nAnswer: 300*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -16*h**3 - 383*h**2 + 48*h + 370. Determine u(-24).\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 17 + 8 = 0. Is 2 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22463000 rounded to the nearest one million?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 5 = -17. Factor 13*q**3 - q**3 + 23*q**4 + q**2 - 26*q**4 + 6*q - 16*q**h.\nAnswer: -3*q*(q - 2)*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 58 - 167 = 0. Let z = b + -22. Suppose -l + 4 = 5*f + 2, -3*l + 6 = 3*f. Solve -5*v - 6 = 2*o, 0 = -z*o + l*o + 5*v - 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 49, -39, -13, 0.\nAnswer: -39, -13, 0, 5, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -85, -5 in increasing order.\nAnswer: -85, -5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -333 - -333 - (1 - (1 + 1) - 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114*a + 3487 = 181. Calculate the remainder when 14468 is divided by a.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7728.\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 a factor of 22778368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 6220575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -295*k**4\/4 + 10737*k**3\/4 + 4443*k**2 + 1913*k + 228 = 0.\nAnswer: -1, -2\/5, -12\/59, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195003 is divided by 2169?\nAnswer: 1962","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-25308)\/(-56240))\/(6\/136).\nAnswer: 51\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 256*o**5\/5 - 6944*o**4\/5 + 39569*o**3\/5 + 806*o**2\/5 - 33651*o\/5 + 12312\/5 = 0. Calculate o.\nAnswer: -1, 9\/16, 8, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1523193913 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31149 or -31056?\nAnswer: -31149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -555, 5, -6, -17, 1, -4 in increasing order.\nAnswer: -555, -17, -6, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 - -4?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen sixths of a century?\nAnswer: 3400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.5, 1\/8, 2, -18.95822, 4, -3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -450*v + 443*v = -12285. What is the highest common divisor of 30 and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of k**4\/6 - k**3 - 12*k**2. Determine v(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence liw when three letters picked without replacement from {w: 2, l: 4, e: 1, i: 3, m: 1}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -76*a + 60 + 92. Solve -a*u - 4*p = -u - 1, -14 = -3*u - p for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/108 and 73\/63.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1 - 26 - 8*t + 27 + 117*t**3 + 2*t**2 wrt t.\nAnswer: 702","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 320 and 12560.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*r**4 - 437*r**3 + 437*r**3)*(-1 - 1 + 0).\nAnswer: 54*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of i**9\/504 - 5071*i**7\/210 + 1297*i**5\/20 + i**4\/12 - 5667*i**2. Find the third derivative of y(z) wrt z.\nAnswer: 120*z**3 - 121704*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of l**6\/10 + 3*l**5\/4 + 2*l**4 + 2*l**3 - 2*l. Solve q(r) = 0 for r.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 57*m**2 - 5*m - 8. Suppose 4*x + 2*h = 12 + 10, -3*x = 2*h - 14. Let k be v(x). Round k to the nearest one hundred.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, -0.2, 0.5, 65\/53, 4\/21 in descending order.\nAnswer: 65\/53, 0.5, 4\/21, -0.2, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 29 - 33 = 0, 4*v - q + 11 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*y = -8, -2*w - 5*y - 16 - 7 = 0. Calculate the greatest common factor of w and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*(4 + (-49)\/14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j - 6230 = -182. Does 14 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-100))\/(57\/475).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10744?\nAnswer: 2, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 176456 and 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148155 is divided by 1703.\nAnswer: 1697","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.063645 meters to kilometers.\nAnswer: 0.009063645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 108 (b) 11060 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -t**3\/6 - 11*t**2\/2 - t. Let p be o(-9). What are the prime factors of (-8 - p)\/(2\/(-4))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2353853791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 8, 3*q = 2*q - 3*z + 129. Let r be (10\/15)\/2 + (-76)\/(-6). What is the greatest common divisor of q and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -6, -3, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 4*s**2 + 3*s + 2. Let k be i(-3). Let l = k + 16. What is the lowest common multiple of l and (-2)\/(-2) + -8 + 11?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*a**2 + 30350*a + 8672 = 0. What is a?\nAnswer: -2\/7, 4336","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73428?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 27 - 268 = -3*h, 4*i = 8. Let j = 239\/3 - h. Which is the smallest value? (a) j (b) 0.4 (c) -1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-2\/105)*x)\/(x**(-6\/13)\/x))\/(((x\/((x\/x**(-12))\/x*x))\/x)\/x**(1\/12)))**(-46) assuming x is positive.\nAnswer: x**(-649911\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/35 and 13\/30?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14.2082208 seconds to days.\nAnswer: 0.000164447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 41, -5, 3.\nAnswer: -20, -5, 3, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 196880, 196977, 197140, 197369?\nAnswer: 197664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tp when two letters picked without replacement from {b: 1, t: 4, p: 1, f: 3, s: 8}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r + 26. Let u = 20 + 11. Calculate the remainder when u is divided by x(15).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001761 to six decimal places.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6940 is divided by 33?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((1\/(-4))\/(540\/432))\/(16\/10). Which is the closest to 4? (a) t (b) 197 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 w when two letters picked without replacement from {i: 1, h: 2, d: 2, a: 2, w: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 72393746905 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, l: 6}. Give prob of picking 2 f.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wy when two letters picked without replacement from {q: 1, s: 1, x: 2, i: 1, y: 1, w: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 371715?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (195 - 16*c + 272 + 13*c)*(-9*c**2 + 64*c**2 - 14*c**2 - 22*c**2).\nAnswer: -57*c**3 + 8873*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 352658387?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**(-1)*z*z))\/z)\/z*z\/z**(-23\/3) assuming z is positive.\nAnswer: z**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 815 times 13?\nAnswer: 10595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -6782 (base 9) to base 6\nAnswer: -35115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4323 (b) 0 (c) -17\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -5)\/(((-403)\/(-620))\/(-13))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/((-16)\/54))\/(38 - 19 - (-925)\/(-50)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11007 + -4403. Suppose 2*y = 4*x - 7450 - p, x - 3512 = -y. Find the third derivative of -x - s**2 + 3513 + 19*s**3 wrt s.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 458240851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of 13\/6*f**3 - 217*f + 0*f**2 + 0. Let r(u) = 2*u. What is r(t(m))?\nAnswer: 26*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 389 divided by 296347.\nAnswer: 389\/296347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/6)\/(22\/(-33)). Suppose 5*j = 6*j + 14. Let l be 2 + -3 - j\/18. What is the closest to -1 in -3, l, f?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y + 7. Let t be k(-7). Sort t, 2, -2 in decreasing order.\nAnswer: 2, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 4*i = 48948, -717*z + 12241 = -716*z + 3*i. What are the prime factors of z?\nAnswer: 2, 29, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -94619 - -144896. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5657103 is divided by 2828454.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - 18. What is the remainder when 3 is divided by 18\/(-4)*y\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -13c13 + 3?\nAnswer: -13c10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 at least as big as 131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000037288 to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.5 - -0.3. Which is the biggest value? (a) 20 (b) i (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -12*i + 4. Let t be c(-11). Let n be (t\/(-20) - 3\/15)*-1. Suppose -n*k + 223 = -1177. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x - x + 488. Let u(l) = -x*l + 247*l + 243*l. Let n(w) = -7*w**2 + 6*w. Let d(z) = z. Let p(s) = 6*d(s) - n(s). Calculate u(p(k)).\nAnswer: 14*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2 + 12 = 0. Suppose -5*o - 5*v + 72 = -23, -o + z*v + 49 = 0. Is (-670)\/(-3) + (-8)\/o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of 6*s**6\/5 - 43*s**2\/2 - 14*s + 18. Let g(y) be the first derivative of k(y). What is the derivative of g(n) wrt n?\nAnswer: 144*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 - 41. Sort 2, f, 2\/3, -1 in ascending order.\nAnswer: f, -1, 2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**2 + 236*f - 115*f - 119*f + 6*f**2.\nAnswer: 4*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -629534312*d**5 - 157370*d + 177 wrt d.\nAnswer: -12590686240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 937\/15440 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -3 + 7. Let i(j) = 3*j**2 - 3*j + 2. Let d be i(3). Solve -z*u - u = d for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b\/b**(-9)))\/(b\/b**(3\/4)))**(-5)*(b**(-2))**(13\/3)\/(b**2*b)**20 assuming b is positive.\nAnswer: b**(-209\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -4 + 3\/2*r**4 + 2*r**3 + 0*r**2 + 0*r. What is the third derivative of q(c) wrt c?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/10*4)\/(-3)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of -11*v**4\/24 + v**3\/3 + 74*v**2. Suppose 0 = -5*d - 1 - 9. Does 12 divide h(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3174707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 144 and 2568?\nAnswer: 15408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11982 divided by 4?\nAnswer: 5991\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6992*g**3*x**3 + 631*g**3*x - 3*g**3 - g**2*x**3 - 2*g**2 - 402*g*x**3 + 9*g*x**2 wrt x?\nAnswer: -41952*g**3 - 6*g**2 - 2412*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1588 + -1587.94. What is the closest to 0.1 in -1\/3, k, 0.1, -0.07?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*b + 358 = 32*b - 2*a, -5*b = 3*a - 453. Let v be 5\/75 + 39\/b. Factor v*p**2 + 0 + 1\/8*p**3 + 1\/2*p.\nAnswer: p*(p + 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/7? (a) 5 (b) -3 (c) -1 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 28\/168*(1 - (-46)\/(-6))\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (459\/36 - 13 - (-6)\/(-8)) + 4. Solve 4*d - b + f = 0, -40 + 30 = -5*d + 4*b for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + z - 2*z + (4*z - 2*z - 3*z)*(-2 + 3 + 3))*(7*z**2 - 2*z**3 - 7*z**2).\nAnswer: 12*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**2 - 420*r + 8820.\nAnswer: 5*(r - 42)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 243359820 a multiple of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5092736 to the power of 1\/4, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j + 10. Let y be l(5). Suppose -4*q + 16 = 4*h, -3*q + 5*h + y*h - 4 = 0. Solve -3*t - q = 10 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 52 = 68. Let m be 24\/w*(0 - -10). Sort 4, -5, m in descending order.\nAnswer: 4, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -409\/30 + 41\/3. Let z(n) be the third derivative of 0*n + 0*n**3 + 2*n**2 + l*n**5 + 0*n**4 + 1\/60*n**6 + 0. Factor z(u).\nAnswer: 2*u**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -785*l + 203*l - 197*l to q*l + z and give q.\nAnswer: -779","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/7? (a) 41 (b) 3 (c) 4 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1862 + 2679. List the prime factors of y.\nAnswer: 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(-1) + -2*1. Let d = -48 + 41. Let v(n) = 13*n - 2. Let a(s) = -4*s + 1. Calculate d*a(r) + i*v(r).\nAnswer: 2*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.46421 millilitres?\nAnswer: 0.00046421","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 22, -101, -1\/869?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1840 = -9*l + 4*l. Let s = l + 402. What is the remainder when s is divided by 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of y**7\/15 - 3*y**4\/8 + 7*y**2. What is the second derivative of d(v) wrt v?\nAnswer: 168*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/245, 5, -0.273?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 1\/3, -8, -3, -0.9, -2\/7 in descending order.\nAnswer: 1\/3, -2\/7, -0.9, -3, -8, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.022046, -0.3, -0.31, -2\/111 in decreasing order.\nAnswer: -2\/111, -0.022046, -0.3, -0.31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 w when two letters picked without replacement from wwuuwvwwauauuvuvuv.\nAnswer: 35\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - 7*h**2 - 9*h - 2. Suppose 0 = -4*m, j - m = -8 + 2. Give f(j).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = f + 10*f. Let t(i) = -150*i + 31. Is t(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 6*g**3. Suppose 0 = 3*p + p. Let j = p + 1. What is d(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 28121.04 to the nearest ten.\nAnswer: 28120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70005672 and 30402.\nAnswer: 210017016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2048849*q**2 - 1026623*q**2 - 1022222*q**2.\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 105\/21*(-3)\/(-5)*2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2581, 2580, 2579, 2578, 2577, 2576?\nAnswer: 2575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 0, -34042430, 0.1, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5213*l**2*n**2 - 128*l**2*n*s**2 + 1080*l*n**2*s**2 - 3*l*n**2 - 29*l*n*s**2 + s wrt l?\nAnswer: -10426*n**2 - 256*n*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 0.01749?\nAnswer: 0.03498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 348051566 divided by 5\nAnswer: 348051566\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, x: 7}. Give prob of sequence tx.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11)*-1*3)**2*-3 + sqrt(22)\/sqrt(2)*5 + -5.\nAnswer: -302 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3, -9, -25, -57, -111, -193, -309?\n\"Answer: -r**3 + r**2 - 2*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 410? (a) 5.2 (b) 4 (c) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*g**3*l**2*p - 6*g**3*l**2 + 42949*g**3 + 40*g**2*l*p + g*p - 1981503*l**2 wrt l?\nAnswer: 8*g**3*p - 12*g**3 - 3963006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 - (-13)\/1) + 6. Suppose -3*h - 2*z + y = 0, 13 = 5*h + z - 5. Solve c - 6 = h*x, 0*c + 4*x + 18 = -2*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 908898 is divided by 29.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 374 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - x + 2284 = 0, 163*x = 2*k + 166*x - 4577. What is the remainder when k is divided by 41?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -0.3129?\nAnswer: 0.15645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 7260022 divided by 22\nAnswer: 330001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 4:32 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of 17*h**4\/6 + h**3\/6 - 3*h**2 - 66*h. Let t(g) = -3*g. Calculate t(l(o)).\nAnswer: -204*o - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 78 + -8 - (-27 - -46) - (-13 - 6)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of 5*t**3\/6 + 15*t**2 - 275*t. Determine n(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 92442507?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -6\/19 (b) 1.07 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1698 by 6.\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4682342 a multiple of 413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/370 and -7\/84397?\nAnswer: 843970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 1)*(3 - 2*w - 3) - 6*w - 4*w + 0*w + 1.\nAnswer: -6*w + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13190726?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.083093 milligrams to grams.\nAnswer: 0.002083093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 2\/19621?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 + -7. Suppose 2*r - 6 = -0. Suppose -c - r = -2*c. Solve 0 = c*t - 0 - s for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004413123 to 6 decimal places.\nAnswer: -0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*a + 12295 + 69947. List the prime factors of a.\nAnswer: 3, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3*h**3 - 4*h**2 + 4*h + 4. Let v be 12\/(-3) - (1 + -1). Let q(a) = 6*a**3 - 9*a**2 + 9*a + 9. Determine v*q(i) + 9*c(i).\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.71879 minutes in milliseconds?\nAnswer: 5143127.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2677009 and 174277.\nAnswer: 2857","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/3 - 23*u\/3 + 22\/3.\nAnswer: (u - 22)*(u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 7:50 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-32)\/(-40)*(-70)\/2. Let h = 31 + o. Differentiate -4 - 9 - 4 + 3*f**h - 26*f**3 wrt f.\nAnswer: -69*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -1\/10*c**5 - 3\/4*c**4 + 0*c - 2*c**2 - 4 - 2*c**3. Factor g(x).\nAnswer: -x*(x + 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12 + 35\/(-5) + 9. Suppose -2*w + 6 = -z. Solve -5*c + w = 3*k - c, -3*k - 3*c + 6 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 + 1210\nAnswer: 1210.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5562 - -5566. Solve -z - 10 = 4*v - 2*u, 1 = v - 2*u for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -m - 3*m + 1530, 4*m - 1518 = 2*u. What are the prime factors of m?\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26212 to the power of 1\/2, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 893602 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01117287 to three decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 1588*p + 69875. Determine s(-44).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62637, 125276, 187915, 250554?\nAnswer: 313193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 51.8 + 2.2. Let i = z + -54. Which is smaller: i or 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6281.208 + 6258. Let d = a + 23. Let q = d - -66.808. What is q rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c - 3*c + c + 0 - c + 0 + (-2*c + c + 3*c)*(3 - 5 + 0) - c - 3*c + 3*c - 4 + 4 + 2*c.\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 161 + -155. Solve 0 = -g*k + 24 - 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144869 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(3\/5))**(-8\/5)\/((((f**(-9)\/f*f*f)\/f)\/f*f*f)\/f**(-3\/11)))**(-19\/4) assuming f is positive.\nAnswer: f**(-35359\/1100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - y + 6. Let u be h(0). Suppose 2*a - 11 = -j, 2*a - 19 = -2*j - a. Let x(t) = -5*t - 19*t**3 - j*t**2 + 36*t**3 - 16*t**3 - 5. Give x(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a millennium in months?\nAnswer: 14000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.1378 - 0.1378. Put q, 5\/2, 4\/5 in decreasing order.\nAnswer: q, 5\/2, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - 6*b**2 - 9*b - 3. Let u be (-4)\/((-20)\/110 + (-52)\/(-44)). Give z(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-130)\/39*(-192)\/(-80)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1 + sqrt(1800) - sqrt(1800) - (sqrt(1800) + sqrt(1800)*1 + 3))**2 - (sqrt(24) + sqrt(24) + (2*sqrt(96) - sqrt(96)))\/(sqrt(243)*2).\nAnswer: 6476*sqrt(2)\/9 + 7236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/11 - 209058572*p\/11 + 5463185815834898\/11.\nAnswer: 2*(p - 52264643)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*k - 20. Suppose -2*s - z + 8 = 0, -s + 6*s = 3*z + 42. Calculate the smallest common multiple of s and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1670, -1667, -1664, -1661, -1658, -1655?\n\"Answer: 3*l - 1673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -11226 (base 8) to base 4\nAnswer: -1022112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -16, 39\/3652 in decreasing order.\nAnswer: 39\/3652, -0.4, -16","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 14*w**2 - 43*w + 21. Let c be y(-9). Let h(a) = 3*a. Let g(v) be the second derivative of -2*v**3\/3 - 59*v. Calculate c*g(r) + 3*h(r).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 1.4\nAnswer: -0.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**4\/7 - 68*a**3\/7 - 304*a**2\/7 = 0. Calculate a.\nAnswer: -4, 0, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -15, 30, 113, 246, 441, 710?\nAnswer: 1065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 11:35 AM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h - 135 + 64 - 6*h + 2*h**3 + 71.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -7*q + 57. Determine d(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -858395, -858400, -858405?\n\"Answer: -5*r - 858390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190 = 5*l + z, 0 = 2*l + 2*l - 4*z - 128. Factor l*s**2 + s**3 - 40*s**2 + s**3 + s.\nAnswer: s*(s - 1)*(2*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86776 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 195*c**2 - 3336*c + 907. Calculate d(-176).\nAnswer: -501","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x. Let c(k) = -k**3 - 8*k**2 + 4. Let b be c(-8). Let u(l) = -10*l. Let z(y) = b*u(y) + 11*w(y). Let f(g) = -6*g. Give z(f(p)).\nAnswer: 42*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-211)\/12238*(2\/(-3))\/(50\/(-75)).\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from iiiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(12\/(-21)) - -3. Suppose -n + 0*n = -3*j + 25, 5*n - 46 = -4*j. Which is the nearest to x? (a) -3\/5 (b) 0.5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.026134 at most 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/6*(-5 - -3). Which is the closest to -0.1? (a) -0.1 (b) -4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 69\/(-21) - 10\/(-35). Let h(i) = i**3 + 4*i**2 + i - 3. Let j be h(o). Let g = 25 - 12. Solve j*m = -4*a + 5, a - m = -3 + g for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 333 + -317. Suppose -2*u - x = -0*u + b, -3*x - 30 = 4*u. Sort 1, 0, u in ascending order.\nAnswer: u, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -67 - -70. Solve 5*q = b + 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2732 is divided by 214?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 + -16)*(0 + -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/((-10)\/(-12)))\/(106\/(-265))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -29ca (base 13) in base 2?\nAnswer: -1011111000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwkkwwkkwww. Give prob of sequence wkw.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 8:13 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 707802 and 42.\nAnswer: 4954614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 5 + 2)*(4*h**3 + 0*h**3 - 2*h**3) - 11*h**3 - 32*h + 18*h**3 - 3*h**3 - h**3 - h**3 + 4*h**3 in the form g*h**3 + k*h**2 + j*h + i and give j.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 206720 (base 14) in base 3?\nAnswer: 2001120000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 13. Let n = 60\/931 - 2\/19. Is t < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**3 - o**3 - 6*o**3 + (-4*o + 4*o - o**2)*(4*o - 6 - 4*o - 3*o).\nAnswer: -3*o**3 + 6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 11:14 PM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -3*j**2\/2 + 815. Suppose 2*b - 5 = -b + f, -4*f + 22 = 2*b. Let q(g) = -4*g**2 + 2*g**2 + 0*g**2 + b*g**2. Give q(i(r)).\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -64 (base 15) to base 9.\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1188, -1168, -1158, -1164, -1192, -1248, -1338, -1468?\n\"Answer: -t**3 + t**2 + 24*t - 1212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1331) + sqrt(1331)*1 + -4)*-2 + -2 + -3 + sqrt(1331) + 5)**2 + 2.\nAnswer: -528*sqrt(11) + 12045","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 28*t - 1. What is the remainder when 92 is divided by d(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 882 and 441.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of y**3\/3 + y**2\/2 + 6*y + 19. Let g be (-4 - -2)\/(2\/(-3)). Suppose 0 = -g*v - v. Calculate c(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-41)\/(-82))\/(82\/(-1763)).\nAnswer: -43\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2481528136?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-two fifths of a meter?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 55*(3*6\/(-15) + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1497\/8 - -3509\/40. Let l = i - -100. Which is the second smallest value? (a) l (b) -2 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 - 23. Let m = 0.3 - 0. What is the third smallest value in -5, u, m, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 17 (b) 10 (c) 9 (d) 6107\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 11:06 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 12:36 AM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 5:31 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*y**5 - 1322*y**3 - 92612*y + 2 wrt y?\nAnswer: -40*y**3 - 7932*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 173.32641 months?\nAnswer: 0.0144438675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of 0*d**3 + 0 + 0*d + 6*d**2 + 1\/4*d**4. Let s(k) = 2*k**2. What is s(r(c))?\nAnswer: 72*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/18*(-9)\/(-6). Solve -l = -2*y + 3 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-276)\/(-253) + 20604\/3740?\nAnswer: 33\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 56.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36\/7*s + 33\/7*s**2 - 68\/7 + 1\/7*s**3.\nAnswer: (s - 2)*(s + 1)*(s + 34)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 740936.\nAnswer: 2, 7, 101, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17.778 - 6.778. Sort -2, -8, 4, u, -4.\nAnswer: -8, -4, -2, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/5)\/(6\/30). Suppose -z + 618 = g*z - 3*s, 2*s - 854 = -4*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 160 = -s. Let y be s\/(-30)*(-18)\/8. Suppose -y*m = 64 - 172. What is the greatest common factor of m and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 37*d**2 + 28*d + 2. Let g(n) = 3*n**3 + 150*n**2 + 111*n + 9. Let k(z) = -2*g(z) + 9*q(z). Factor k(r).\nAnswer: 3*r*(r + 1)*(r + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10.07 + 10.0179. Let z = -428554 + 428578.3521. Let b = l + z. Round b to zero dps.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 + (31 - 28) + (0 - -3) + 5\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -75.1 - -79. Let n = 4 - l. Which is the closest to n? (a) -1 (b) -0.4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146891 is divided by 146876.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1080879121?\nAnswer: 7, 154411303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 632945435, 1265890867, 1898836299, 2531781731?\n\"Answer: 632945432*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 484 is divided by 89.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h + 1. Let w be j(3). Let l = -5 - w. Let v = -33 + 33. Is v >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7\/13 + 16\/91. Let p = -132 - -134. Is w less than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 23 = 4*g, 13 = -2*g + 3. Suppose 0*m + n*q = 4*m - 446, -230 = -2*m - 2*q. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of m**7\/3360 + m**6\/1440 - 2*m**3\/3 - 1. Let y(g) be the third derivative of v(g). Factor y(b).\nAnswer: b**2*(b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 1 + y + 0 - 2*y. Let c(t) = -9*t + 6. Let a(r) = c(r) - 6*d(r). Let k(b) = b**2. Determine k(a(u)).\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190*n**4 - 2685*n**3 - 9660*n**2 - 8065*n - 900 = 0. What is n?\nAnswer: -9, -4, -1, -5\/38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2000100211 (base 4) to base 14.\nAnswer: d964d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 107924933 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 182956 and 12296?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52436 is divided by 1002?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 - 18*f**2 + 225*f - 812. What is t(10)?\nAnswer: 638","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -5. Suppose -q = -3*b + 5. Sort -1, b, 1.\nAnswer: -1, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4.5 in -1\/3, -69, 4, 1, -39\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3278 = 2*v, 45*x - 42*x + v - 4911 = 0. List the prime factors of x.\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*s + 5*r - 3*r, 4*s = -4*r + 12. Let t be 23073\/(-4) + s\/(-16)*-1. Is 44 a factor of t\/(-20) + (-6)\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-12)*-3 - -5. Suppose -348 = -i*a - 132. Calculate the remainder when 106 is divided by a.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 79586759?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 5056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 2. Let s be 8\/(-6)*(3 + m). Let o be (1 - 7) + (-67 - -73). Sort s, 5, o in ascending order.\nAnswer: s, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**5 + 118964*w**4 - 475883*w**3 - 1308654*w**2 - 713808*w = 0. What is w?\nAnswer: -118968, -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*a**2 + 1612\/7*a + 324818\/7.\nAnswer: 2*(a + 403)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -6) + 4 + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.55 minus 2.2?\nAnswer: -3.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/94 and -77\/470.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -139 and 0.8?\nAnswer: -111.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.7 and 0.016.\nAnswer: -0.0752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 PM and 11:40 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -5 - 2. Let o = s + 11. Suppose 2*q + 2*c - c = 32, o*q = -3*c + 68. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) -2 (c) 427 (d) -44 (e) 0.23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18448 in 1\/2, -735, -5\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64.9 - 2.6329.\nAnswer: 62.2671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73008\/35100 - (2 - (1 - 0))*2.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ouv when three letters picked without replacement from {v: 3, s: 1, o: 1, u: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-10)*-2*1. Let p be 32\/14 + (-2)\/7. Let f = 1 - -3. Sort g, f, p in descending order.\nAnswer: f, p, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -651*l**3 - 30*l - 84*l**4 - 123*l**4 + 653*l**3 + 29*l - 7 to f*l**4 + p*l**3 + y*l**2 + s*l + g and give f.\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/119)*l)\/l*l\/(l*l\/(l\/((l*l**(2\/11))\/l)*l))*l)**(-5\/7) assuming l is positive.\nAnswer: l**(-11790\/9163)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6735 - -13908. List the prime factors of h.\nAnswer: 3, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c - 1. Let b be ((-2)\/(-4)*0)\/(-2). Let q(g) = 2 + 6*g + b*g - 2*g. Calculate -7*i(j) - 3*q(j).\nAnswer: 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 175283?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146*w**3 - 41*w**3 + 15*w**2 - 53*w**3 + 16*w**2 - 46*w**3.\nAnswer: 6*w**3 + 31*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6632\/3 + -92989\/42. Let w be (-1318722)\/45*18\/(-650892). Let q = 13\/9862 - w. Calculate the common denominator of q and l.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 15, 9 = -7*s + 3*s - 3*c. Let x(b) = 8*b. Let q be x(1). Let h = s + q. Solve 4*n + h = 0, 3*o - 2 = -n + 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/30 and 59\/3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 12:53 PM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 255*d + 2639. Let p(t) = t - 2. Let g be p(4). Suppose g*b + 5*n - 41 = -0*n, -3*b - 3*n + 66 = 0. What is the remainder when j(-10) is divided by b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4463*v - 1491*v + 3771 - 1489*v - 1484*v in the form u*v + f and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -5*l**3 - l**2 + 7*l. Let o(i) = i**3 - i**2 - i. Calculate 6*o(u) + q(u).\nAnswer: u**3 - 7*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6635, -22084, -47815, -83828, -130123, -186700?\nAnswer: -253559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.26 plus -9025025?\nAnswer: -9025024.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155*m - 293 + 152 = 634. Put -3, -47, m in descending order.\nAnswer: -3, m, -47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -16*m**2 - 181*m - 1445. Let x(u) = 3*u**2 + 36*u + 289. Let s(v) = 2*r(v) + 11*x(v). Factor s(a).\nAnswer: (a + 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.48 * -0.01073\nAnswer: -0.0051504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 873 + -358. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293356712 to the power of 1\/2, to the nearest integer?\nAnswer: 17128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 460 divide 319912060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 17 - -9 - 12) + 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/4 and 88\/(-2592)*-110 + -4 + 0.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.137472 rounded to 3 decimal places?\nAnswer: -0.137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2 - 278458768*p + 4846205342254864.\nAnswer: 4*(p - 34807346)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1055.556 litres in millilitres?\nAnswer: 1055556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 12 = o. Is 0.1 at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/15175648 and 27\/21136.\nAnswer: 15175648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2755*n**2 - n - 7. Let p = -241 + 239. Is o(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1536)\/84 + 4\/14. Let j be (p\/12)\/(3\/12). Let d be -1*(-2 + j\/(-2)). Which is smaller: -4\/5 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 216.08 or 90\/17?\nAnswer: 90\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d**3 - 2*d. Let u(l) = -4*l + 22. Let p be u(5). Let k(a) = -118*a**p - 3*a + 118*a**2 - 4*a**3. Give 2*k(v) - 3*s(v).\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1001011011010 (base 2) to base 4\nAnswer: -1023122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -18.52 * 12222\nAnswer: -226351.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one fifths of a century?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 4*s = 2*g - 0*g + 4*g - 3*g + 30, -6*s = -4*s for g.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -107249, -214493, -321741, -428993, -536249, -643509?\n\"Answer: -2*j**2 - 107238*j - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 5 = -6*x - 5*p, 10 = x + 4*p. Let o(r) = -2*r**3 - 2*r - 2. What is the tens digit of o(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = o - 0. Suppose 5*r + o = 12. Is 2 equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 17*l**2 - 102*l + 3. Determine v(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2057) + (sqrt(204) - ((1*sqrt(204) - sqrt(204)) + sqrt(204) - sqrt(204)))\/sqrt(12) + sqrt(136)\/(sqrt(200)*-4))**2.\nAnswer: 3581577\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-10 - -3 - -8). Let p(z) = z**3 + 5*z**2 + 2*z - 5. Let o be p(-4). Let t be -3 + (1 - 1) + 8. Solve 3*r = o*w - 9, d*w - r + 6 = t*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004318499 rounded to seven dps?\nAnswer: 0.0000432","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 10*b**2 - 7*b**2. Let r(y) = -97*y + 15. Let d(n) = 178*n - 28. Let z(s) = -6*d(s) - 11*r(s). Calculate z(f(c)).\nAnswer: -2*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-11)*3960\/(-7200)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5443880 and 469220?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9164 by 6.\nAnswer: -4582\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.01652 + 0.41652. What is the closest to 0 in -557, -2\/25, r?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (-30)\/16*18326\/(-3927)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 154\/3)*24\/(-412) + (-3)\/(-1).\nAnswer: 1\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + t**2 - t - 1. Suppose 2*r = -4*r - 6. Let g be a(r). Suppose 2*s - g = 2. Let j(u) = -u**2 + u + 2. Calculate j(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -100\/9 smaller than 0.33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1107\/36*(2 + (-3 - 1558\/(-6))) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and -98*8\/48*-3.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123726?\nAnswer: 2, 3, 17, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = 52 - 49 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(48) - sqrt(3)))**2 + (sqrt(30)\/(1*sqrt(10)))**2 + -2 + (-2*sqrt(24))\/(6*sqrt(8)).\nAnswer: 53*sqrt(3)\/3 + 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 265 (b) 5 (c) -1 (d) 3 (e) -1\/2 (f) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f - 6. Let x be q(8). Let v be ((-33)\/6)\/(1\/x). Let u = -6 - v. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*r = -68*r - 6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -8*l**2 + 34*l - 6. What is u(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tutk when four letters picked without replacement from {k: 1, t: 4, u: 5, e: 1}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/2124 and 46.\nAnswer: 2124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, 182, 20\/7, -4\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*y**2 + 15*y**2 + 98*y**2 + 7*y - 9 + 64*y**2 - 6*y.\nAnswer: 293*y**2 + y - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 85555 and 1775?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 52*u + 114*u - 803*u + 0*u**2 - 2*u**2 to the form d*u**2 + x + r*u and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 783 a factor of 16479018?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r - 1. Let k be -1 + 0 - (6 + -5). Let g = 6 + k. Suppose p - 2*p - g = 0. What is q(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 + 26 + -104 + (1 - -58).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3230216069 - 9052\nAnswer: 3230207017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0013 and -1.12576?\nAnswer: -0.001463488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r - 4. Let d be b(-6). Suppose 0 = -2*z - o + 16, -z - 4*o + d = -0*z. Let k be (z + 4)\/(4\/2). Solve -p = -k*p - 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 488315, 976588, 1464845, 1953080, 2441287, 2929460, 3417593, 3905680?\n\"Answer: -o**3 - 2*o**2 + 488286*o + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-one halves of a century?\nAnswer: 2050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-22*(-20)\/2640)\/((-18)\/(-4)). Let x = 14 + -14.1. Put x, 4, n in decreasing order.\nAnswer: 4, n, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120749 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/2)\/((-4833)\/895*5\/6).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 6*k**5 + 770*k**4 - 1083162*k**3 + 2884710*k**2 - 2523044*k + 720720 = 0.\nAnswer: -495, 2\/3, 1, 364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37438?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 1 - 15 = 0. Suppose -88 = -4*m + 7*n - 3*n, -c*n + 2 = 0. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((3 + sqrt(275) + 2 - ((-5 + -2 + sqrt(11) - sqrt(11)) + sqrt(11) + 2)) + 0)**2)*-3.\nAnswer: -813 - 240*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 2*r - 37, -3*j + r = 5*r + 47. Are -8 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -4*x + 16, 2*b - 8 = -4*x + 3*b. Let f(y) = -4*y - x + 3 + 0. Let z(s) = -2*s**2. Determine f(z(u)).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*g + 1240*g + 1077*g to x + w*g and give w.\nAnswer: 2358","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 74755 + -5?\nAnswer: 74750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0)**(-1\/19)\/(w**(1\/4))**(3\/22)*((w*w**(-6))\/(w**(-3\/4)\/w*w))\/(w**(-2\/9)\/((w\/w**(-3\/2))\/w)) assuming w is positive.\nAnswer: w**(-2029\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -26*g**3 + g**2 + g. What are the prime factors of u(-1)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/9, 89\/4, -1\/4, -28\/9.\nAnswer: -28\/9, -8\/9, -1\/4, 89\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86\/(-18) + (380\/90)\/(-19).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2129.824 + 2082.9. Let s = 47 + w. Round s to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2513.308 years?\nAnswer: 30159.696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182786 = 2*m + 1144786. Round m to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.4 + -5.5. Which is the fourth biggest value? (a) 0.02 (b) 1 (c) n (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-24)\/2*(-2 + 14\/8). What is the third derivative of -22*d**3 - 9*d**2 + 163*d**y + 11*d**2 - 13*d - 13*d wrt d?\nAnswer: 846","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r**2 + 21*r + 218. Let s be o(17). Which is the closest to 2\/5? (a) -5 (b) s (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8202\/12 + (-2)\/(-4). Suppose 4*b + 0*x + x = u, -x - 171 = -b. Calculate the greatest common divisor of 19 and b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-2) - (289\/18 - (281 + -267)).\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of w**6\/120 + w**5\/6 - 7*w**4\/12 - 29*w**3\/6 - w**2. Let g be o(-11). Factor 16*l**3 + l**5 - 13*l**3 - g*l**3.\nAnswer: l**3*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15496869 or -15496908?\nAnswer: -15496908","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.54 + 28.54. Let n = -139 + 147. Suppose -5*m - w = -4, 2*w + n = 4*m - 2*w. Which is the closest to m? (a) -0.1 (b) -0.5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (438\/5228)\/(990\/(-20052)). Let o = q + -1\/19605. What is the common denominator of 8\/27 and o?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 825017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**5\/2 + 10*o**4 - 37*o**3\/2 + 9*o**2.\nAnswer: -o**2*(o - 18)*(o - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 + 17. Let z(f) = -19321*f - 23. Let d(k) = 6440*k + 8. Let l(u) = n*z(u) + 11*d(u). Let a be l(9). Round a to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -4*n - 6. What is f(5)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, -722\/7, 2\/15 in descending order.\nAnswer: 2\/15, -3\/7, -722\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -7) + -4 + (-11)\/(-3).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68454 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 - 2*x**2 - 3*x + 2. Let k be w(3). Let l = k - 2. Suppose l = 5*a - 0 - 5. Solve -5*s - a = -2*c, -5*s + s + 10 = 2*c for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02221776 to 4 decimal places.\nAnswer: -0.0222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + h. Let d(w) = -w**2 + 7*w + 1. Let s(k) = -k**2 + 48*k + 1. Let p(m) = -6*d(m) + s(m). Give 4*g(y) - p(y).\nAnswer: -y**2 - 2*y + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*p + 9. Suppose -p*f = -8*f + 8. Put f, -5, 1 in decreasing order.\nAnswer: 1, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 34 - 72 = 0. Let l(s) = 2*s**2 + 40*s - 17. Is l(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t - 60 = -13*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 10:05 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c = 669 + 816. Let z = -118 - c. Solve -5*j = -z - 3 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) + 4*sqrt(304))**2 - (-3*sqrt(38))\/sqrt(2).\nAnswer: 3*sqrt(19) + 7600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -28*d**2*s**2 + d**2 + d*s**2 - 250*s**2 wrt d?\nAnswer: -56*d*s**2 + 2*d + s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b**4 + 57*b**3 + 99*b**2 + 63*b + 12 = 0. Calculate b.\nAnswer: -4, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-5\/9)\/(l*l**36\/l) assuming l is positive.\nAnswer: l**(-329\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.013 - 34.987. Let a = 34.6 + o. What is the third smallest value in a, 1\/12, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 134*j**5 + 102*j**2 wrt j?\nAnswer: 8040*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -19*s**4 - 27*s - 6. Let n(z) = 38*z**4 + 54*z + 11. Let g(p) = -6*n(p) - 11*w(p). What is the second derivative of g(q) wrt q?\nAnswer: -228*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-20)\/u**(1\/5)*u*u\/u**(-24)*u**21 assuming u is positive.\nAnswer: u**(134\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) 1337 (b) 17 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31951680, -127806703, -287565074, -511226793, -798791860, -1150260275?\nAnswer: -1565632038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (31 - (41 + -14)) + -8\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b + 14. Let d be y(-12). Suppose 4*i - l - 252 = -0*l, d*i + 3*l = 140. Calculate the greatest common divisor of 16 and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**4 - 17*s**2 - 17*s - 14. Let y(v) = -6*v**2 - 6*v - 5. Let b(l) = 6*x(l) - 17*y(l). Differentiate b(n) with respect to n.\nAnswer: 24*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71094036 a multiple of 124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10064 a multiple of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/8 and 201\/(-30) - (-9)\/(-3).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1738 (base 14) in base 6?\nAnswer: -31142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nqnn when four letters picked without replacement from qnnnnnqnndqnqnnqqnnq?\nAnswer: 77\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.839762 to one dp.\nAnswer: 11.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-36)\/(-30))\/((-6)\/80). Let a be (15\/(-10))\/(6\/z). Let c(r) = -r**2 - 13*r. Let s be c(-9). Calculate the greatest common factor of s and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10427 - 9095. What is the least common multiple of u and 666?\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/5))**32*f**(-5)*f*f*((f\/(f\/((f**(3\/4)*f*f)\/f)))\/f)\/f assuming f is positive.\nAnswer: f**(-321\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2423189028?\nAnswer: 2, 3, 13, 31, 109, 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2*r = 12 + 2, 2 = -2*r. Let b be 640\/(-60) - (-24)\/4 - (0 + -7). Let -3*z**3 + p*z - 5\/3*z**2 + b*z**4 - 2\/3 = 0. Calculate z.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l + 2. Let t be h(0). Let q be (t - -3) + -2 + -1. Let u = -26 + 44. Solve 5*y - 4*f - 35 = -f, -q*f - u = -2*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/271? (a) -0.5 (b) 2\/9 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 - 15 - 1)*(-17 - 20 + 15)*(-2*c + 0*c - c) to l*c + b and give l.\nAnswer: -1584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -42*o - 508 + 88 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-12 - (1 - -3)) + 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 - 4*i - 53 + 4 - 133.\nAnswer: -4*i - 143","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10182*c**3 - 8*c**2 + 4048267*c.\nAnswer: -61092*c - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 59403223 to the power of 1\/4, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164 = 2*i - 3*f, 5*i + 3*f = -f + 456. What is the remainder when i is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 8:40 AM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 5*t + 65 = -0*k, k + 3*t = 21. Suppose 0 = -k*a + 3*a + 306. Let m = a - 7. Calculate the greatest common factor of 132 and m.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4123042203 + 3?\nAnswer: -4123042200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2306000 rounded to the nearest ten thousand?\nAnswer: 2310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 h when four letters picked without replacement from {h: 5, j: 2}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -2 + 989*g - 82 - 1035*g - 2*g**2 = 0. Calculate g.\nAnswer: -21, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5\/(-375))\/(4\/(-24))*-5. Let w = 1167\/5 - 233. Let v = 5 - 2. Which is the closest to 2\/9? (a) v (b) d (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/(-9)*21)\/((-6)\/33). Let n = 73 - a. Let r(b) = 4*b**2 + 11*b + 6. Let c be r(n). Calculate the greatest common divisor of c and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*a - 14*t - 409 = -0*a + 1469, 2*a + 2*t - t + 21 = -2*t for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -191\/2 (c) 1\/4 (d) 211873\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2215, -4372, -6531, -8692, -10855?\nAnswer: -13020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2420 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2889\/81 + 8\/6. Let w = -36 + u. What is the units digit of 2*(142\/4 + w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -106293? (a) -2\/17 (b) -0.5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.204253 rounded to 2 decimal places?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 841879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 88 and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -578699 = -1073*v + 1062*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -508? (a) -130 (b) 5 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 + 15*d - 36. Let q(b) = -12*b**2 + 168*b - 396. Let c(t) = -68*i(t) + 6*q(t). What is p in c(p) = 0?\nAnswer: -6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 355 is divided by 44?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2931.457nm in meters?\nAnswer: 0.000002931457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 4:16 AM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 - 5*y + 2. Let o be ((-23)\/46)\/(2\/24). Let k be z(o). Which is the second smallest value? (a) k (b) 5 (c) -6 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10365939 to the nearest integer?\nAnswer: 3220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -521, -530, -539, -548, -557?\nAnswer: -566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 - 2 - 5 - 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3)\/(d**(-5)\/d*d))**(-9) assuming d is positive.\nAnswer: d**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/8 (b) -26\/11 (c) -4 (d) -1 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02755438 rounded to five dps?\nAnswer: 0.02755","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9730\/(-3475) + (-7)\/(630\/(-642)).\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 2:03 PM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 5, -2\/53 in increasing order.\nAnswer: -2\/53, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of p + 7\/108*p**4 - 2\/27*p**3 + 1\/135*p**5 + 0 - 7\/540*p**6 - 3\/2*p**2. Let x(a) be the first derivative of u(a). Factor x(l).\nAnswer: -2*(l - 1)*(l + 1)*(7*l - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -11*d**3 + 6*d + 6. Let u(k) = k + 1. Determine g(r) - 6*u(r).\nAnswer: -11*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/20)\/((-4)\/(-10))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 13 = 9*j. Suppose -4*p - p + 3*r = -35, 0 = -p + j*r - 5. What is the second derivative of -3*w**3 - p*w**3 + 102 - 5*w - 102 wrt w?\nAnswer: -78*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 + -4 + -4 - -9)*(73 - 72)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of -y**3 - 3*y**2\/2 + 2*y. Let u be v(-2). Let s = 20 - u. List the prime factors of s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -262353 divided by -217.\nAnswer: 1209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 500445 is divided by 1317?\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16901875, -16901874, -16901873?\nAnswer: -16901872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + 20 - (-5 - 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -52, -56, -62, -70, -80, -92?\n\"Answer: -q**2 - q - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160379 is divided by 40070?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.17 to 0 dps.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-2))\/((99\/(-21))\/(-11)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -659634*r**2 - 892*r - 3568. Let x(i) = 2221*i**2 + 3*i + 12. Calculate 3*m(q) + 892*x(q).\nAnswer: 2230*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 4:02 AM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {r: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(3\/5))**(-2\/31))**(-49) assuming g is positive.\nAnswer: g**(784\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4456 a multiple of 292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {g: 2, a: 3, z: 1, o: 1, y: 3, k: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -6527, 72 in descending order.\nAnswer: 72, 1\/2, -6527","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -18*d**4 - 44114*d**3\/3 + 4299130*d**2\/3 - 4569902*d\/3 + 104980 = 0.\nAnswer: -905, 2\/27, 1, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-4)*4\/(-120)*-8.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 1 - 22*r**2 + 22 - 2 + 24*r. Let m be z(-23). What is the units digit of (-148)\/6*m*3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.8131 - -0.3131. What is the biggest value in a, -0.098, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49.41437 meters to millimeters.\nAnswer: 49414.37","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 n when two letters picked without replacement from qnmbqxo?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**4 - 11*y**3 + 11*y**3 + (-2*y - 2*y + 2*y)*(-y**3 + 4*y**3 - y**3) + 3*y**4 - 6*y**4 + 0*y**4.\nAnswer: -8*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - 4. Let u(t) = -2*t**2 - 26*t + 5. Let j be u(-13). Let i be 0\/(-3 + 0 + j). Which is the biggest value? (a) q (b) 3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/28)\/((-11)\/((-231)\/(-6)))*6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 148956360?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 155 + 15?\nAnswer: 16a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/5120 and 109\/18432.\nAnswer: 92160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*o + 9*o - 10*o.\nAnswer: -11*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**20*y**18)\/(y\/(y\/(y\/y**(-9))*y))**(-30) assuming y is positive.\nAnswer: y**269","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 128*b + 1. Let k be 2\/(-3)*54\/(-12). Suppose 5*g = -k*l + 28, 4*l + 0*l - 9 = -g. Does 13 divide h(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 4*s = 3, 6843*f = 6840*f - 4*s - 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 6:30 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + (-1)\/(0 - -1). Let g = d - -10. Calculate the remainder when (-2)\/4*(2 + -64) is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 102329032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 13\/5 - 28\/(-70). Suppose s = -4*z + 11. Solve 0*o = -z*o - 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 354506?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1248, 1251, 1254?\nAnswer: 1257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/90 and 37\/162.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28863)\/945 - -39 - 12\/14.\nAnswer: 38\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33723134 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -5. Suppose 24*b - 215 = -191. Put o, -2, -4, b in increasing order.\nAnswer: -4, -2, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 1 + 143 = 0. Is j a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of z**5\/20 - 17*z**4\/12 + 17*z**2\/2 + z. Let q be (34\/4)\/(2*(-3)\/(-12)). What is the remainder when n(q) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/268560 and 113\/1440.\nAnswer: 537120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 2:49 PM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 835 is divided by 254.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 12:52 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, d: 1, b: 2, s: 2, l: 1, u: 1}. Give prob of picking 1 f, 1 u, and 1 d.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 4*f + 30. Let m(k) = -k + 1. Let r(c) = 3*c - 26. Let s(d) = -6*m(d) - r(d). Let i(u) = -5*a(u) + 7*s(u). What are the prime factors of i(15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + 10*n - 9. Let i be t(6). Solve -5 = -g + 2*h, 3*g - i = h - 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37.552 + 0.248. Let m = -17.9 + d. Let o = -15 + m. What is o rounded to zero decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14621, -23704, -32787, -41870, -50953?\nAnswer: -60036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7728648 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144032134.\nAnswer: 2, 1667, 43201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 541070 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 4. Suppose f = -v + 3. Suppose f*q - 4 - 22 = b, -5*q + 66 = -2*b. Solve -7 = 3*g + 3*z + 2, -q = -2*g + 2*z for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 1:05 PM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*n**2 - 12*n**2 + n**2 - 9*n**2.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 5) to base 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by 38?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 5*w - 4. Suppose 0*b - 35 = 2*b + 5*h, 0 = -5*b - 2*h - 35. Let u be (1 - 2)*-1*1. Let f(k) = 4 - 3*k - 3*k + u. Give b*j(g) - 4*f(g).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000056054 rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-235)\/60 + 8*(35\/10 - 3)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**3 + 2*j**3 + 2*j**3.\nAnswer: 7*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -111 + 362 - 14*h**2 - 637 + 14*h**2 - 12*h**3 to o + u*h**3 + w*h**2 + t*h and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1557786?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25)\/15)\/(1\/(-3)*1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -55\/104? (a) 2 (b) -1 (c) 0.22 (d) -0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/((-902)\/224 - -4). What is the highest common factor of i and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6 - -2 - -9)*1. Factor -c*g + 15*g + 15*g**3 + 4*g**2 - 29*g**2.\nAnswer: 5*g*(g - 1)*(3*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18725 is divided by 781.\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 16)*((0 + x + 0)*(0*x**4 - 4*x**4 + 2*x**4) + 3*x**5 - 9*x**5 + 26*x**5).\nAnswer: 306*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that t**5\/9 + 1916*t**4\/9 - 370933*t**3\/9 + 18045808*t**2\/9 - 9021760*t = 0.\nAnswer: -2097, 0, 5, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 468658388.\nAnswer: 2, 11, 10651327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 1*(12 + -5) + 4. Let j = 23 - 5. What is the remainder when n\/j + 10\/4 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -50\/31 + 1093\/620. Let f = 1\/60 + i. Let s be 1\/(1 + 14\/(-4)). Which is smaller: s or f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83, 143, 203, 263?\nAnswer: 323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21498 - -61157. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 69 = 4*c - 169, -5*c + 279 = -3*q. Suppose -c = -o + 78. Suppose 36*y = 31*y + o. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 195 + 141. Does 8 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 4:15 AM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 86119.93 tonnes in kilograms?\nAnswer: 86119930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g**4*h + 2010*g**4 - g**3 + 8840*g**2*h wrt g.\nAnswer: -24*g*h + 48240*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -p + 3*p**3 - p**3 + 5*p**4 - p**2 - 3*p**4 + 2 - 4*p**3 in the form x*p**2 + d + i*p + n*p**3 + c*p**4 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -90, -181, -284, -405, -550, -725, -936?\nAnswer: -1189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 35) + (-63 - -125)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 42171727.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 273, 275, 277, 279?\nAnswer: 281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -76.336 - 7.664. What is the biggest value in 1\/3, a, -6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2*w = -2*w - 17, 0 = -4*c + 3*w + 11. Let h be c + (-11)\/(-13) + 0. Let f = -92\/3 + 31. What is the smallest value in f, -2\/9, h?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 117 = -3*i. Let g be 6\/i + (-24)\/182. Which is the third biggest value? (a) g (b) -0.2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249*m + 13 = 251*m - a, 5*a + 40 = 5*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -11*d**7\/5040 + 13*d**5\/60 + 27*d**2. Let p(g) be the third derivative of h(g). Let c(m) = 3*m**2. Give c(p(b)).\nAnswer: 363*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4225770 and 470?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -65978, 1\/3, -9, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 116130 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-6))\/((-2)\/8)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*7.661763.\nAnswer: -15.323526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(171)*3*4 + sqrt(171) + sqrt(171))\/sqrt(9) - 2*(6*(-1 + sqrt(19)))**2*2.\nAnswer: -2875 + 302*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/47286 and 109\/29394.\nAnswer: 1087578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3005 + 563. Round g to the nearest 100.\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7397.531 tonnes to kilograms.\nAnswer: 7397531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1206 a factor of 545832328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 87572?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1208572549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c**(-2\/33)*c))**(-5\/9)*c**11*c**(-5)*c assuming c is positive.\nAnswer: c**(1904\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 437708 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -21345, -22010, -22675?\n\"Answer: -665*b - 20680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*l + 83 = 1469 for l.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 940?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110162743 is divided by 956.\nAnswer: 951","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 16 + 10 + 534*q**2 - 33 to the form h + l*q**2 + w*q and give l.\nAnswer: 534","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 15547*f + 400. Is b(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(378)*1 - sqrt(42))\/(sqrt(6) + sqrt(150) + sqrt(150) + sqrt(150) + (sqrt(150) - -1*sqrt(150))).\nAnswer: -3 + sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/4*(-40)\/(-66)*318\/2650.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pwwdwjpwjpjhppp. Give prob of sequence wp.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2954761 * -0.4.\nAnswer: 0.11819044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 26959187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/18)\/(106\/159) - -2. Find c such that -3\/2*c - v*c**2 + 3\/2*c**3 + 3\/2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 - (9 + 4) - (1 + -10)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 38, -313 in descending order.\nAnswer: 38, 5, -2, -313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/12 + (-10)\/6 + 2. Solve 6*s - 2*s - 5*p - 37 = m, -p + 7 = 4*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 - 11*c - 26. Let z be d(-6). What is the smallest value in z, -0.025, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -239*g - 247*g - 814 = -523*g for g.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 165050498172403 and -0.2?\nAnswer: 165050498172403.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -357, -3, 0, 3, 5 in descending order.\nAnswer: 22, 5, 3, 0, -3, -357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(288) + 1)*-2 + (-3*(-1 + sqrt(288)) - sqrt(288))*-4)**2.\nAnswer: -6720*sqrt(2) + 56848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101000011101110011011 (base 2) to base 15.\nAnswer: -1b2d39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -135.\nAnswer: 40.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2101202122 (base 3) to base 5.\nAnswer: -3002323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -305 divided by -36037.\nAnswer: 305\/36037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of 5*a**3\/6 - 25*a**2\/2 + 3*a. Let x be k(6). Solve 2*t + 21 = -5*u - t, 10 = -x*t for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2855?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 9) in base 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4 = -o - 2, -2*y = 2*o - 4. Let l(x) = -y*x + 17*x**2 + 13*x**2 - 2*x**3 + 0*x - 28*x**2. Determine l(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 117346, 117322, 117298, 117274, 117250, 117226?\nAnswer: 117202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -8. Suppose -r + w - 3 = -0*w, -3*r - w = -g. Suppose -2*m = -r*m - 16. What is the remainder when m is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 249 and 3033152.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/9)*m)**(14\/11)*(m\/(m\/m**(-1\/7)))\/m*m*(m\/m**(1\/2))\/m assuming m is positive.\nAnswer: m**(481\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 22. Let c = 11 + -22. Let d(z) = z**2 + 13*z + 24. Let n be d(c). Calculate the highest common divisor of n and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 5*g**2 + g - 7. Let p be a(5). Put 4, p, -26, -5 in decreasing order.\nAnswer: 4, p, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 3*x - 17 - 12, 32 = 4*x + 5*t. Suppose -2*v + 3*i + 2 = 5*i, 5*v = -3*i + 7. Sort 4, 1, x, v.\nAnswer: 1, v, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18365*i**4 - 498*i + 31?\nAnswer: 220380*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14820 - 14820 - 32*n)*((-1 + 1 - 1)*(-4 + 1 + 1 + 2*n) - 6*n - n + 2*n).\nAnswer: 224*n**2 - 64*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 100340 - -2?\nAnswer: 100342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*y + 40*y - 13*y - 13*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -12*a**2 + a + 1. Suppose -59*k + 28*k = -372. Suppose 50 - 62 = k*m. What is b(m)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19591\/2244 - 462\/63) + 14\/(-8).\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (286\/572)\/((-2)\/(-4)). What is the second smallest value in -0.03, 0.03, -6, z?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 7*d - 4*d + 4. Sort d, -9, 7, 4 in ascending order.\nAnswer: -9, d, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -282 - -282. Suppose t = -5*n - 48 + 78. Solve -n = -l - 11 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and (-62)\/(-6) - (-62)\/93?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1794301 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 340 + -226. Let k = 572\/5 - v. Which is smaller: -1 or k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 495 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(99) + (sqrt(55) + sqrt(880))\/sqrt(5))*-4.\nAnswer: -32*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 14145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a**2 - 29 + 0*a + 15839*a**4 - 15841*a**4 + a**3 - 8*a**3 - a as n*a**3 + w*a**2 + r + z*a**4 + m*a and give r.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1031290 + 1031290 + 2*z**3.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 3 - 9. Suppose 4*o - 30 = r*o. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -k**7\/420 + 7*k**6\/240 - k**5\/12 + 96*k**2 - 184. Let w(x) be the second derivative of c(x). Factor w(m).\nAnswer: -m**2*(m - 5)*(m - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 18701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -3*x**2 + 118*x + 82. Let t be y(40). Let b(w) = 2*w - 3. Let i be b(4). Find the second derivative of -3*s - i*s + 19*s + 14*s**t wrt s.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 1. Let b be 12\/(-10)*(-3 - (-1)\/2). Let x be 2\/(-6)*(-12)\/2. Let l(v) = v**2 + v**2 + 3 - x. Give b*l(c) + 4*u(c).\nAnswer: 2*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 85 = 3*x + 2*x, 2*x = 4*f + 4. Let c be -2 - (-12)\/9 - (-116)\/x. Is c > 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76692 is divided by 156?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w**3 + 16*w**4 - 6 - 17*w**4 + 20 to z*w**3 + i*w**4 + h*w + g + s*w**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 975861104?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75924*g**3 - 210351*g**3 + 134426*g**3.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2792 divided by -47271?\nAnswer: 2792\/47271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75615 = 892*v + 173*v for v.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - o = 3*o + 15, -s - 2 = o. Let a be (3\/9)\/(s\/9). Suppose -a*n = -4*n + 18. Calculate the greatest common divisor of n and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = z - f, 2*z - 4*f - 4 = 0. Is z\/(-78)*3 + (-11433)\/(-39) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 - 4.9. Let c = -52627 - -52626.8. What is the closest to 0.1 in -3\/4, c, f?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.039, -1\/2, -86 in descending order.\nAnswer: 0.039, -1\/2, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -268 + 242 + (-9 - (4 + -7) - -4 - 3).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 380 - 51*i - 30*i - 29*i.\nAnswer: -110*i + 380","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 8664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 4*j = 0. Suppose j = 3*l - 3 - 63. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5996 is divided by 1008.\nAnswer: 956","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -205781, -205788, -205771, -205718, -205617, -205456, -205223?\n\"Answer: 2*i**3 - 21*i - 205762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19 in -2064\/7, 5, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b + r - 26, -11*b + r + 24 = -6*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-15)\/10)\/((-1)\/4). List the prime factors of v\/(-4)*1036\/(-21).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5765?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of 1\/195*j**6 + 3\/65*j**5 + 0 + 1\/6*j**4 - 37*j + 4\/13*j**3 + 4\/13*j**2. Factor w(z).\nAnswer: 2*(z + 1)**2*(z + 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + h - 2. Let l be n(3). Suppose 3*s = 8 + l. What is the remainder when 22 is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d\/(d*d**(2\/25)\/d))\/d)\/d**(-2\/15))\/((d*d\/((d*d\/(d**(5\/3)\/d))\/d*d))\/(d*d**(-18\/7))) assuming d is positive.\nAnswer: d**(-622\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/8 - 12\/16. Let k(q) = -q**3 + q**2 - 2*q + 1. What is the tens digit of k(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 104 = 752. Suppose 0 = -3*v + 5*z + 138, -v = 3*v + 4*z - o. List the prime factors of v.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.03 + 0.27. Let l = 67.1 - 66.1. What is the closest to 0 in 29, m, l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 9:49 PM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2519198 to the nearest integer?\nAnswer: 1587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/40 + (-3)\/(-24). Suppose 4*y - 237931 = 5*h - 42931, c = 4*y. Round h to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 331*i - 3904. Determine o(12).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*a - 11 + a + 6)*(-6 - 9 - 15) in the form q + j*a and give j.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-34)\/(-153))\/(28\/147) + 111\/(-126)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16778 divided by 6.\nAnswer: -8389\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**0\/l*l*l**(-1\/3))\/(l**(2\/7)\/l**(1\/7)))**(4\/13) assuming l is positive.\nAnswer: l**(-40\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ixixfiiiiifi. What is prob of picking 1 f and 1 x?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*h + h**2 + 1076 + 999 - 2138 - 9*h.\nAnswer: h**2 - 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 235740875?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from pppppwww.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*o - 25 = 8*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 7:12 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.721 + -0.621. What is the biggest value in 5, 1\/5, t, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 253057 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5*u = -31, 3*u = -9*d + 12*d - 39. Suppose -19*o = -169 + d. Solve 17*b - o = 15*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -27 from 25.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2987 - 2053. Does 12 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -6\/221 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 1, -0.6, -3 in ascending order.\nAnswer: -3, -0.6, -0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 12) to base 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**0)**(13\/3))**(-10\/9) assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1414595553 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2)*s**(-5))\/(s\/(s**0\/s*s)*s*s)**(-2\/53)*(s**1)**(-5\/9)*(((s*s**0)\/s)\/s)**(1\/13) assuming s is positive.\nAnswer: s**(-46627\/6201)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*d - 3. Is (0 + -38)*d\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - (195 - (-1 + 5)). Let b = 330 - 333. Let x be b\/21 + a\/28. Let r(d) = -d**2 - 5*d + 2. What is r(x)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 1 = 5*a, -17*a + 21*a = -2*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 490321, 3922449, 13238225, 31379473, 61288017?\nAnswer: 105905681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 195.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-2\/41)*l*l**(-2\/9))\/((l*l**(-12)*l)\/l*l\/(l\/(l*l**(6\/7)*l))*l) assuming l is positive.\nAnswer: l**(22916\/2583)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 5*m**3 - 128*m**2 - 51*m - 60. Let b be h(26). Sort -4, 2, -1, b in descending order.\nAnswer: 2, -1, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 88\/(7568\/1634) - (-93)\/(-5). Suppose -4*i - 15 = -9*i. Suppose -4\/5 + 2\/5*d**i + z*d**4 - 2*d - 6\/5*d**2 = 0. What is d?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((-6*sqrt(156)*1 + sqrt(156) - sqrt(156)) + sqrt(156) + 2*1*sqrt(156))\/(3*(sqrt(1728) + sqrt(1728)*-3 - sqrt(12))))**2.\nAnswer: 1263\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-2) + 143\/(-22). Let c be 13 + 0 + 0*(-5 - u). Suppose -3*f + 2 = -c. Sort -5, f, -3 in decreasing order.\nAnswer: f, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-3) - ((-58)\/(-3) - 1). Calculate the least common multiple of 15 and (10 + 2)*(-45)\/d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0.2, 0.006, -7047, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**2 + 434 - 8 + 504.\nAnswer: -r**2 + 930","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4*2\/(1\/1). Let t(l) = -4*l**3 - 5. Let k(u) = 7497*u**3 + 3 - 14967*u**3 + 5 + 7476*u**3. Give x*t(g) + 5*k(g).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 236\/6 + 6\/(-18). Find the common denominator of j\/(-8)*(-60)\/(-35) and 65\/90 - (3 + -1).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 17795 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 195 - 3. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0857906142 to three decimal places.\nAnswer: -0.086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 5*w**2 + 5*w + 5. Let o(s) = -14*s**2 - 16*s - 16. What is -5*o(b) - 16*v(b)?\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(612) + 1 + 1 + sqrt(612) + (sqrt(612)*2 - sqrt(612)) + 4 + 4 + 1)**2*6*-6.\nAnswer: -200592 - 10368*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 4*o - 52, 0*h = -2*h + o - 29. Calculate the common denominator of -53\/39 and -3 + ((-6)\/h)\/((-24)\/(-16)).\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of 1\/6*i**4 + 4*i + 6 + 0*i**3 + 0*i**2. Let n(g) = 6*g**2. Give v(n(u)).\nAnswer: 72*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(4896) - (1*sqrt(4896) - sqrt(4896)))*2)\/((sqrt(4)\/(sqrt(32) + sqrt(2)) - sqrt(2)*1*-3)*-2).\nAnswer: -15*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((3 + sqrt(17))*4 + 4)*-4*-3.\nAnswer: -192*sqrt(17) - 768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17.889 - 17.9. Round z to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + 2 - -3 - 0. What is the remainder when -2*(-123)\/6 + c is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 4*b = -0*b + 69, 4*t - b = 92. List the prime factors of t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.04 - 9.04. Let i = g + 9.7. Let f = -0.70000052 + i. Round f to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 - (57 - 129 - -79)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - (-711)\/(-63))\/((-27)\/(-42))?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 88494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + 4. Calculate the highest common divisor of 10 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592.045 litres in millilitres?\nAnswer: 592045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 6*b = -3*h + 210, -4*b + h + 275 = 0. List the prime factors of b.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/((-504)\/(-357))*68\/(-289).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.67 + -0.67. Let u(h) = 5*h - 10 + 8*h**2 + 4*h**2 + h**3 - 4*h**2. Let w be u(-7). What is the closest to -0.1 in w, z, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s**2\/7 + 584129884*s\/7 - 438097404\/7 = 0. What is s?\nAnswer: 3\/4, 36508117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28099240 divided by -5619848.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*x - 5*t = 8, 5*x - 2*t - 86 = 0. Let q = 21 - x. Calculate the greatest common divisor of 15 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -848*n - 5129. What is g(-6)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72453?\nAnswer: 3, 24151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -3. Suppose -x*z + 1 = -3. Let q(u) = z*u + u - u. Let m(w) = 3*w. Determine m(q(t)).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 911650 is divided by 203?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/4 + 279*y\/4 - 4532.\nAnswer: -(y - 176)*(y - 103)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4\/5 - 594*n**3\/5 + 89373*n**2\/5 - 68204*n - 208860.\nAnswer: (n - 295)**2*(n - 6)*(n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3927*f - 3925*f + 10. Sort -2, f, -0.3, 2\/7 in descending order.\nAnswer: 2\/7, -0.3, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -182 - -187. Let s(p) = 11*p - 18. What is the remainder when s(x) is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 4 = 0, 3*z - 30 - 39 = -3*y. Suppose 4 - z = b + 4*d, 0 = b + 5*d + 23. Suppose 0 = b*g - 3*w + 5, 2*w + 0 = g + 5. Solve 3 + g = 2*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 0. Suppose 0 = u - f - 0. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = p - 18, -5*p = -14 - 1. Let d(j) = 650 - 650 - h*j**2 + 0*j**2. Let k(w) = -9*w**2 - 5 - 4 + 9. Determine d(k(l)).\nAnswer: -243*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3560 and 50552?\nAnswer: 252760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 578503 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -1\/6 (b) 0.05 (c) 3 (d) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 PM and 1:40 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 27 = 11. Suppose 2*c - 2*g - r = 0, c + 2*g - g = 6. Calculate the lowest common multiple of c and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-4) - (3 + (-25)\/10). Let t(u) = u - 1. Let d(m) = -6*m**2 + 5*m - 5. What is n*d(v) - 5*t(v)?\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29 - 17. Let j be 2\/5 - (-1 - 26\/10). Let p be (0 + j)\/(6\/36*3). Calculate the greatest common factor of f and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4996399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 6 + 8 = 0. What is the least common multiple of 376\/40 + (-6)\/(-10) and k?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.01 + -0.01. Let x = -31 - -31.2. Let p = 0.24 - -0.76. Which is the closest to x? (a) p (b) i (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 h when four letters picked without replacement from {k: 4, x: 3, h: 5}?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = u + 4, 0 = -31*f + 28*f - 3*u - 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 11 = -3*r + 2*r, 2*r - 10 = 2*q. Let k(b) = b**3 + b + 26. Let w be k(0). Let d be 123\/39 + q\/w. Let l(c) = -c**2 + 7*c - 2. Give l(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1391897411429525 - -1?\nAnswer: -1391897411429524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.2541 rounded to 1 dp?\nAnswer: 21.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of -60*q**3 + 159*q**2\/2 - 12*q - 124. What is m in a(m) = 0?\nAnswer: 1\/12, 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57905?\nAnswer: 5, 37, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*p - 89 + 5 = 0. Find u, given that 0*u**2 + 0 - 3\/2*u**4 + p*u**3 + 0*u = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 7 = 4*k, 3*w + 0*k - 8 = 5*k. Is 15\/7 != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 712?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 162 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -30466 (b) 5 (c) 84 (d) -1 (e) 4 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3332704 smaller than -3332704?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -16*l - 4. Let s(y) = -y**2 + 6*y**2 + 323173 + 3*y**2 - 323173. Determine g(s(r)).\nAnswer: -128*r**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*j**3 + 2 + 2*j**3 + 4*j**3 - 4 to the form b*j + v*j**2 + d*j**3 + c and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 98920.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of -p**6\/120 + p**5\/20 + 7*p**4\/12 + 25*p**3\/6 + 3*p**2 - 345. What is x(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kok when three letters picked without replacement from {k: 5, o: 5}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 7*a + 4. Let w be m(-2). What is the tens digit of (-2)\/w + (-16410)\/(-75)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -82197 and -0.13.\nAnswer: 10685.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (110*c**4 - 106*c**3 + 106*c**3)*(3 + 0 - 2).\nAnswer: 110*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 153 - 1022683?\nAnswer: -1022530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(112)*-4*-1)**2 + 1.\nAnswer: 1793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + 12 + 1917*d**2 - 1 to a*d + j + r*d**2 and give r.\nAnswer: 1917","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 4*i + 2. Let v(z) = z**2 + 17*z + 21. Let c be v(-16). Calculate the remainder when 64 is divided by d(c).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 15*g**5 + 87*g**4 + 162*g**3 + 114*g**2 + 15*g - 9 = 0.\nAnswer: -3, -1, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2*h = -0*j - 10, h + 13 = 3*j. Suppose t - j*v - 26 = -2*t, -5*t = 4*v + 10. Solve 4 = 2*c - 3*c, 0 = 4*z - t*c - 16 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 32214302?\nAnswer: -32214242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 9:09 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.54044 (b) 4 (c) -0.1 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t - 3*t + t**4)*(0 - 1 - 2)*(3 - 6 + 2)*(5 + 2 + 16).\nAnswer: 69*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 576 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -4*w + 14, 7*w - 5*g = 3*w + 2. Solve t = 5*v + 19, 0 = -w*v - 9 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 446 and 423 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -137 - -144. Solve 5*v = -3*r - 1, 2*r - 3*v = -a - 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 divided by 5817\nAnswer: 20\/5817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -684*m + 1361*m + 2335*m in the form u + a*m and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 9*u + 3 - 3. Let s(i) = 1644*i**2. Let h(g) = -80*g**2. Let d(r) = 144*h(r) + 7*s(r). Give b(d(x)).\nAnswer: -108*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/7)\/o)**(1\/49)\/(o\/o**4*o*o*o*o**(-26\/5)*o) assuming o is positive.\nAnswer: o**(7173\/1715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -38, -41, -42?\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven eighths of a hour?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 - 4*y + 11. Let f(q) = -q**2 + 3*q - 10. Let h(v) = 5*f(v) + 4*j(v). Calculate h(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 7*y**2 + y + 3. Let x be k(7). Solve -5*b + 20 = -x*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 3*f**3 - 1 + (395*f + 12842 - 12842)*(2*f**2 + 0*f + 0*f).\nAnswer: 787*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -10*m. Suppose 3*d - 2 - 13 = 0. What is the least common multiple of d and i(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1248127 a multiple of 485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 6:01 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2637688 is divided by 20135?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2110400 rounded to the nearest 100000?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -8. Let y be 2 - 4 - l*-1. Suppose 0 = 5*m + 2*r - 5*r + 3, 3*m + 2*r = -17. Sort 3, m, y in descending order.\nAnswer: y, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*28\/(-5)*(-255950)\/(-35833).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -19*q**2 - 15*q - 1. Give w(2).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1276\/9 - 142. Suppose 0 = -0*u - 5*u - 25. What is the biggest value in 0.2, u, 0.4, s?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of 0*c**5 - 1\/6*c**3 + 0*c**2 + 29\/15*c**6 + 9*c - 29\/4*c**4 + 0. What is the third derivative of l(u) wrt u?\nAnswer: 1392*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 10. Suppose -5*q - 8 = 3*x, 0 = -x + 6*x + m*q + 10. Let t(j) = 5*j**3 - 3*j + 3. Let k be t(1). Sort x, k, 0 in ascending order.\nAnswer: x, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, c: 3}. What is prob of picking 2 c and 2 l?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/6*((-4)\/(-6))\/(403\/20956)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 8068\/4861?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2400*h + 2395*h + 20, -5*k - 21 = h for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 9453319.\nAnswer: -4\/9453319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4406469750?\nAnswer: 2, 3, 5, 1958431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -243*w**3\/5 + 344619792*w**2\/5 - 153164316*w\/5 + 17018256\/5 = 0. Calculate w.\nAnswer: 2\/9, 1418188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of 3*t + 0 + 11\/60*t**6 + 0*t**3 + 0*t**4 - 1\/105*t**7 + 5*t**2 + 11\/15*t**5. Find the third derivative of z(k) wrt k.\nAnswer: -48*k + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.741426l to millilitres.\nAnswer: 5741.426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -89926 greater than or equal to -89926?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/3 + (-22)\/24. Let b = -0.04 + 0.24. Let w = 479 - 476. What is the nearest to l in 2, b, w?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -88 - (55 + -70 + -16 + (-2 - -13))?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1579, 1561, 1527, 1471, 1387, 1269, 1111?\nAnswer: 907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46, -97, -150, -205, -262, -321?\nAnswer: -382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 432\/38 + ((-429)\/117 - (-125)\/(-15))\nAnswer: -12\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -3*t + 6*t - 3*f, -5*f = -4*t - 22 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 97779369 to the nearest 1000000.\nAnswer: 98000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) 18 (c) -0.2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h. Let o(v) = 13*v + 9. Let g(j) = 2*n(j) + o(j). What is the first derivative of g(s) wrt s?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)*1*6*-5 + (sqrt(288) + sqrt(288)*-2 + sqrt(288))\/(sqrt(9) - sqrt(1089)*1))**2 + 0.\nAnswer: 64800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55.4 + -55.41. Is i not equal to 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4826 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(48) + 5.\nAnswer: 5 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2 + 53661076*h + 359938884684722.\nAnswer: 2*(h + 13415269)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 226 - 121. Suppose -6*s - c = -705. Is 15 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25 and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1665 and 5?\nAnswer: 1665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, j: 3, x: 1, d: 6, v: 1}. Give prob of sequence djj.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) + 1*sqrt(1715) + (1*sqrt(35)*-2 - sqrt(35)))\/(sqrt(56)\/(1*sqrt(8)) + sqrt(7) - ((sqrt(7) - sqrt(112)) + sqrt(7) + sqrt(7))*2).\nAnswer: 5*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4480, 4482, 4484, 4486, 4488?\nAnswer: 4490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -3*p + 5. Let s(y) be the first derivative of y**2 - 3*y - 1. Suppose m - 4*i = 13, 3*m + 2*i - 15 = -4. Determine m*s(f) + 3*r(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4 - 11 = -y, -y = -g. Let h(q) = -y*q + 7*q + q. Let o(z) = 3*z. What is h(o(w))?\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 13*f - 5*f - 5*f - 1. Give a(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-14)\/(y**(-2\/5)\/y))**(7\/8))**(-11) assuming y is positive.\nAnswer: y**(4851\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, p: 4, m: 2, f: 3}. What is prob of picking 2 p and 1 f?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/4 + 2*u**2 + 9*u\/4.\nAnswer: -u*(u - 9)*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 451 is divided by 413.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2647 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, g: 15}. What is prob of sequence ggg?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b1 - 134d?\nAnswer: -128c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nrnnrrnnnr. Give prob of picking 2 r and 1 n.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5818868197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + o - 51092. Let m(q) = 5*q. What is w(m(v))?\nAnswer: -25*v**2 + 5*v - 51092","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37 by 1925459.\nAnswer: -37\/1925459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 15) to base 9.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 12*z**2 - 13*z + 1. Let x = 1 - -12. Let p be m(x). Suppose 0 = -5*y + 4*y - p, -3*c - 4*y + 116 = 0. Does 6 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-254780)\/(-25) + (-2)\/10. Suppose -25*w - 2666 + q = 0. What are the prime factors of w?\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*i**3*k**3 + 1049*i**3*k - i*k**3 + 9*i*k - 254*k**3 wrt k.\nAnswer: -30*i**3*k - 6*i*k - 1524*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gdddgjgdjgdddd. What is prob of sequence jddj?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -761*x + 17587. Give f(23).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - 75*d - 1381. Determine g(-37).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 74*t*v**3 - 2*t*v + 3*v**3 - 10*v**2 wrt t?\nAnswer: 74*v**3 - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4132 divided by -4?\nAnswer: 1033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37 + -19. Let f = 29 - o. Is -2 - (f*-1 + 2) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (29*115\/2668)\/(15\/(-2))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -400643, -400644, -400645, -400646, -400647?\nAnswer: -400648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19739*n**2*y**4 - 606*n**2*y - 5*n**2 - 2*n*y wrt y?\nAnswer: -236868*n**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 9*y**2 - 27*y + 9. Let p(j) = -j**3 + 12*j**2 - 26*j + 12. What is 4*h(q) - 3*p(q)?\nAnswer: 3*q**3 - 30*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 10*n + 25. Calculate the remainder when 237 is divided by o(9).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169847 less than or equal to 169833?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of s**2 + 8*s - 1. Let z(j) = 5*j**2 + j - 55. Let n be z(3). What is o(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 186 and 264.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55 - 55 - 75*k to the form s + q*k and give q.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -5, 14, 4, -6, -312, -1 in ascending order.\nAnswer: -312, -6, -5, -1, 0.5, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 27 (b) -1\/2 (c) 0.021 (d) -4152 (e) 0.4 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -0.05, 5, 175, 1\/8, 2\/13?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a week in hours?\nAnswer: 2058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k - 11. Suppose o = 5*o - 36. Calculate the smallest common multiple of d(o) and 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27772852 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -11 - 3. What is the units digit of (-6)\/(-4) - z\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149*d - 41992 = -951190. What are the prime factors of d?\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38507143 + 38507143 + 184*h.\nAnswer: 184*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -650*u + 236. What are the prime factors of k(-10)?\nAnswer: 2, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 18856?\nAnswer: 18858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-6) - 2\/3. Let o(y) = y + y + z*y. Let s(u) be the second derivative of u**3\/3 + u. Give o(s(n)).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 459?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 397827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -237545, -475097, -712649, -950201, -1187753, -1425305?\nAnswer: -1662857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1781052113 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49.5 + 52. Let w = -0.041 - -0.441. What is the third smallest value in w, -0.1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - 5*u + 7. Suppose 5*q - 4 - 5 = 2*t, -4*q = 5*t + 39. Give h(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l - 159 = 1999. What is the least common multiple of 2 and l?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -23, -131, -1, 0.063?\nAnswer: -131","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -93.1564 - 0.5\nAnswer: -93.6564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9127 + 392513\/43. Let i = -2473\/516 + c. Find the common denominator of 43\/32 and i.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*c + 2*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {c: 6, x: 1, f: 2, k: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -25 (b) 2 (c) 5 (d) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.5, 0.5, 2, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 39, 60, 87, 120?\n\"Answer: 3*y**2 + 12*y + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5385 is divided by 5348?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + -9 + 67 - (-11 + 6 + -6 + 3)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*f**2*i**2*m**2 - 3236*f**2*m**2 + 6004*i**2*m**2 + i**2 - 4*i*m + 4*m**2 wrt f?\nAnswer: -12*f*i**2*m**2 - 6472*f*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a - 3684*f + 21 = -4*a - 3681*f, -4*a + 60*f - 258 = -22*f for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of 4*w**3\/3 - 2*w**2 + 7. What is the second derivative of p(b) wrt b?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 450 (base 6) to base 5\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + 15. Suppose 5*f - 4*d = s, 5*f - 2*f - 15 = -5*d. Suppose -w = -5*w + 16, -f*p + 228 = -3*w. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, n: 2, c: 1}. What is prob of sequence mnm?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {y: 2, d: 6}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-404)\/(-32) + 35\/(-56). Solve z = u*z + 18*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 0.11.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b - 2. Let l(q) = 1510*q - 15. Give -7*i(j) + l(j).\nAnswer: 1489*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13648*s = 13594*s - 2160 for s.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2784\/(-144)*21\/(-2) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202\/3 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 1 = x, -5*q - 4 + 0 = 4*x. Is q greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*g + 91 + 108 = -58 - 359 for g.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**2 - 7*u - 6. Give l(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (264\/84)\/(-11) - 132\/28.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 9179700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - -5)\/1 + (-11 - -9). Suppose 16 = -f*y + 8*y. Let x(n) = -7*n**3 - 4*n**3 + y + 0*n**3 - n + 2*n**2 + 12*n**3. Give x(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -7*z**3\/3 + z**2 - 40. Let y(h) = h. What is f(y(u))?\nAnswer: -7*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((q\/q**(3\/10))\/q)\/q*q*q**4)\/(q\/((q\/q**(-3\/5))\/q)*q\/q**(2\/15)))**(5\/8))**49 assuming q is positive.\nAnswer: q**(3577\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6975\/(-5)*16\/20. What is the hundreds digit of (p\/3)\/((-10)\/15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 326611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 15 = -3*v, -2*v + v + 5 = 0. Solve b*a - 5*a = 25 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 0.1. Let q = -0.239 - 2.761. Which is the closest to v? (a) 2 (b) q (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5792)\/(-18) - 24\/(-108). Suppose -4*b + w = 18. Does 19 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.75338501 rounded to 0 decimal places?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**5 + 15*y**4 + 8*y**3 - 6*y**2. Let i(n) = 2*n**5 + 31*n**4 + 16*n**3 - 13*n**2. Let x(l) = 6*i(l) - 13*v(l). Determine s so that x(s) = 0.\nAnswer: -8, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 103133 or 103138?\nAnswer: 103133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12849438?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**4 + 2*u**4 + 2*u**4 + (-1 + 3 + 0)*(u**2 - 2*u**4 - u**2) + (u**2 + 2*u**2 - 4*u**2)*(0*u**2 - u**2 + 3*u**2))*(-8*u + 26*u - u).\nAnswer: -85*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 155 - 152. Suppose -12*s + 23 - 3*s**2 - 59 + 24 + 24 + 3*s**b = 0. Calculate s.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -85 by -17.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 573 + 579 - 1152 - f. Let w(s) = 233*s**2. Determine k(w(g)).\nAnswer: -233*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (6 + -4) - (18 + -11)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x + 0*x + x - 1 + x + 1 + 1 - x - 1 + (4 - 6 + 4)*(-x + 2*x - 2*x).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 8948?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 10692 = -2*w, 5*w + 58*n - 60*n - 26739 = 0. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -24. Let z = 15 - n. Which is the closest to z? (a) 5 (b) -1 (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 4*r**2 - 22*r + 14. Let c be h(5). What is the biggest value in -2\/9, c, -6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138918?\nAnswer: 2, 3, 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)\/(sqrt(16)\/sqrt(4)) - (sqrt(22)\/(sqrt(55)\/sqrt(5)) + sqrt(2)))*-3.\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 907842.1 milligrams in grams?\nAnswer: 907.8421","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from idieheehzhzdziei. Give prob of picking 2 z.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m\/((m*m\/m**(-1))\/m*m))*m*m)**(2\/23)\/(m**3)**46)**(-1\/38) assuming m is positive.\nAnswer: m**(1581\/437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 10:05 PM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -10948, -4 in descending order.\nAnswer: 5, 2, -4, -10948","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121 + 111121001?\nAnswer: 111121122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 + (-2 - -6) + (-24 + 13 - -13).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 38*s + 30. Let p be v(-40). Let h = -40 - p. What is the greatest common divisor of h and 130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 1 + 3. Let f be (4\/2)\/y + 5. Differentiate -f*b - 3 + 2 + 2*b + b wrt b.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21.63316 * -13\nAnswer: 281.23108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6*-1 - (-18*4\/16 - 2). Let m = 24 + -18. Which is bigger: m or n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154369192031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-5))\/(8*75\/(-800))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1221 = z - 4*z + 4*b, 3*z - 1248 = -5*b. Suppose -g - 2*g - 3*y = -z, g - 2*y = 128. What are the prime factors of g?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 214 + -94. What is the tens digit of l\/(-70)*-2*(-14)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2\/13 (b) -0.4 (c) -1\/3 (d) 1135 (e) 86 (f) 0 (g) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - h + 5*h = 0, 0 = l - 4*h - 201 + 209 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -4*a**2 + 50*a - 14. Determine i(12).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/126 - (0 - (-104)\/266).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.342 + 2.998. Let k = 782872 + -782868.65807. Let b = f - k. What is b rounded to four dps?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-10)\/(q*(q\/(q**(-1\/3)\/q))\/q))\/(q\/(q*q**(-4)*q))**17 assuming q is positive.\nAnswer: q**(-190\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -47*j - 3. Let g be u(2). Let x = -4 - -1. Calculate the common denominator of (x\/(-6))\/(1\/g) and 59\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7071 - 7067. Solve 3*y - k = 13, -s*k = 3*y - 19 - 4 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b + 3. Let y(c) = -3*c - 31. Let u be y(-8). Calculate k(u).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/1 + (1958\/99)\/(-2) and -1 - 1 - 54\/(-84)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16c + -15a1?\nAnswer: -1433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 2397?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 70 = b - 4*b, -21*b - 106 = -25*b - 9*h for b.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, n: 1, z: 1, v: 2}. Give prob of picking 1 y, 1 z, and 2 v.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 7) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 5*b - 211. Determine o(40).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*l**2*v**3 + 57*l**2*v**2 + 438*l**2 + 36*l*v**3 - 31*l*v + 55397*v**3 - 2*v**2 + 2*v + 2 wrt v.\nAnswer: -126*l**2 + 216*l + 332382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 404?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 + 15. Let a(k) = k**2 + 8*k - 35. What is the tens digit of a(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -4. Suppose -v = 5*w - 17, u - 1 = 5*v + 4*w. Let h be (-7)\/18 - (-2)\/12. Put 5, h, v in increasing order.\nAnswer: v, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67805*y = -67763*y + 126 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17 by -3553.\nAnswer: -1\/209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*u**3 - 14*u**4 - 29*u**4 + 17*u**3 + 11*u - 135 + 22*u**4 - u**2 - 75*u**6 wrt u.\nAnswer: -9000*u**3 - 504*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1297214381 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2106343866 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 112, -0.1, 0.0735 in ascending order.\nAnswer: -0.1, 0.0735, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.17*2492.\nAnswer: -5407.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a decade?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.296? (a) -1 (b) 4 (c) 14\/45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*a = 1703 - 583. Let i be 17654\/a - (-1)\/(-5). Suppose 51*k - i = 48*k. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.6 and -30.\nAnswer: -29.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1057949014.9999973 - -1057948967. Let v = -120 + 72. Let o = v - l. What is o rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 9*g + 70. Let j be z(-7). Solve j = -0*o - 5*o - h, -o + 3 = -2*h for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2494*u - 2495*u = -449. List the prime factors of u.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/60 and 61\/1320.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 5*j - 13. Let r(a) = -9*a + 25. Let b(d) = 11*c(d) + 6*r(d). Calculate b(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4\/2 - 3687*q**3 + 13549653*q**2\/2 + 81696546*q + 245488482.\nAnswer: (q - 3693)**2*(q + 6)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((3*sqrt(1900) + 5 + 0 + 3*sqrt(1900) + sqrt(1900))*-5)**2.\nAnswer: 17500*sqrt(19) + 2328129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 37\/5 of a century?\nAnswer: 740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 9, 4, -2\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 0, 7, 10, 3, -20, -65, -138?\n\"Answer: -l**3 + 4*l**2 + 2*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3\/7 - 79320*a**2\/7 + 158628*a\/7.\nAnswer: 3*a*(a - 26438)*(a - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2 and -123.8269?\nAnswer: 123.6269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -293 by 124.\nAnswer: -293\/124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that z**5\/3 + 781*z**4\/3 - 34411*z**3\/3 + 127451*z**2\/3 - 31274*z = 0.\nAnswer: -823, 0, 1, 3, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**2)**45\/((r\/(r\/(((r*r**7\/r)\/r)\/r)*r))\/r*r**(-3)) assuming r is positive.\nAnswer: r**90","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + 1 - (-3 + -1)) + -12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**4\/9 - f**3 + 4*f**2 - 4*f\/9 - 16\/3.\nAnswer: -(f - 2)**2*(f + 1)*(f + 12)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 11*d = -16*d + 40, -2*p - 5*d + 68 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**8*m)\/m**(25\/4)*(m\/(m**(-21\/4)\/m))**(3\/2))**(-1\/41) assuming m is positive.\nAnswer: m**(-109\/328)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c7 + 5?\nAnswer: cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 32*b**2 - 25*b + 2729. Calculate d(30).\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159 = -3*g + 51. Let k be (-19523)\/(-280) + (-12)\/(-5) + -2. Let f = k - g. Which is bigger: f or 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -130711349.23000182 - -130711351. Let h = -1.77 + i. Round h to 7 decimal places.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 47033577 to the nearest integer?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/138 and -125\/114.\nAnswer: 2622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 2*d**5\/5 - 2142*d**4\/5 - 4302*d**3\/5 + 10718*d**2\/5 + 12876*d\/5 = 0.\nAnswer: -3, -1, 0, 2, 1073","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/1019 - -3052\/5095. Let u = -740\/3949 - -2\/359. Which is the second smallest value? (a) 3 (b) u (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + -38. Let u = 41 + h. Which is the closest to -0.4? (a) -2\/5 (b) u (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*q = -17*q + 9*i - 128, -5*i = 2*q - 72 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -326500 * -0.05\nAnswer: 16325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001185649 rounded to seven dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 45 = -2*n, 40 = 3*n - 11*h + 9*h. Solve -4*l - 5*q = -45, l - n = 4*q - 5*q for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 35*c**2 + 49*c - 1559. Is p(-68) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -27520 to the nearest 1000.\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 != 210?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-504))\/(198\/10395*-6)\nAnswer: -5\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -224*h**2 - 24192*h + 252. Calculate f(-108).\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-2) + 39\/26. Suppose s*h = 248 - 26. Suppose -h = -3*x - 3*f, 2*x + f - 88 + 14 = 0. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*b)*((0 - 2 + 0)*(2*b + 0*b - 3*b) - 981*b - 1199*b + 1844*b).\nAnswer: -668*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 15*k**2 + 10*k - 6. Let a(g) = -g**3 + 4*g**2 + 12*g - 14. Let j be a(6). What is the tens digit of n(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2376 + 27?\nAnswer: 2403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29542 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wa when two letters picked without replacement from aalsllapwllxwaa?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**5 - 142*a**4 - 2313*a**3 - 10044*a**2.\nAnswer: -a**2*(a + 9)**2*(a + 124)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.023 - -28.977. Let s = a - -1. Let d = -29.11 + s. What is d rounded to 1 decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -390*f**2 - 4931*f - 2996. Give q(-12).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/12)\/((-3)\/(-1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((1*sqrt(10)*2)\/((sqrt(5) - (sqrt(5) - sqrt(20)))*-6))**2.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-102)\/(-25) + (-16)\/200. Is 28 a factor of ((-2)\/u)\/(59\/(-107852))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 + 13 = -4*j + g, -g + 17 = -5*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) - 2*(sqrt(76))**2 - (2 + -3 + sqrt(19))**2.\nAnswer: -172 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (478 + 7*s - 228 - 6*s)*(-22 - 13 + 47) to the form o + c*s and give c.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 85\/304 + 9473\/912. Solve -y + 16\/3*p**3 - 16\/3*p + 10*p**2 + 2\/3*p**4 = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7269*a**2 + 3181*a**2 - 442*a**2 + 2867*a**2.\nAnswer: 12875*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/1078 and 81\/6370.\nAnswer: 70070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -5*d**4 - 40*d**3 + 290*d**2 - 440*d + 195 = 0?\nAnswer: -13, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 13\/5 of a kilometer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 404107143?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 30645021 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h + 6. Let w be s(0). Let v(k) = -2*k**3 - 5*k**2 + 8*k**3 - 5*k + 1 - 10. Let g(o) = o**3 - 1. Let f(p) = 5*g(p) - v(p). Give f(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/((-2)\/(-2) + -7). Let s = 11.113 + -11.183. Which is the fourth biggest value? (a) 1\/5 (b) -5 (c) s (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate r**3*t**2 - 17*r**3 + 22*t**2 + 1 with respect to r.\nAnswer: 3*r**2*t**2 - 51*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -0.3 (b) -7 (c) 1 (d) -14734\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004276 rounded to 5 decimal places?\nAnswer: 0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w + 3*w - 5*w)*(-54*w + 2208 - 2208).\nAnswer: -108*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 294*g**2 - 108427*g - 21768. Give t(369).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -4*j**2. Let m = -48 - -52. Let u(d) = 8*d + 0*d + 6*d - m*d. What is u(r(s))?\nAnswer: -40*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -126.1 rounded to the nearest ten?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.685513ns in hours?\nAnswer: 0.0000000000249126425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10*(-11)\/(-330)*21 + 7122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - 349 + 39331 = 0. What are the prime factors of j?\nAnswer: 73, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5907507433?\nAnswer: 199, 29685967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9803.\nAnswer: 9803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1344364431.\nAnswer: 3, 448121477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4309, -34200, -115239, -272998, -533049, -920964, -1462315, -2182674?\n\"Answer: -4262*c**3 - 2*c**2 - 51*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.621 to zero dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r**2 + 3*r - 3. Let d be u(-3). Which is the nearest to -1? (a) d (b) -5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 0*d + d - 9 = 0, -5*s + 25 = 3*d. What is the highest common factor of s and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4175 - 4011. Is z a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1339.6 - -1333.6. What is the nearest to 1\/8 in v, 9, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -91 - ((-49 - -15) + 11).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/(1*sqrt(8)) - sqrt(44)\/sqrt(4)*-2.\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 2\/13 (c) 22 (d) 9\/2 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8228662 to the power of 1\/3, to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 3*u**2 - 4*u - 2. Let i be m(-3). Let h be -2 + i\/7 - 3. Let r(w) = w**3 - 3*w**2 - 4*w + 1. Let c be r(4). Are c and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*m**2 + 34*m**2 + 873651066*m - 873651064*m.\nAnswer: 27*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6898.11836 - -97291?\nAnswer: 90392.88164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -84, -25 in increasing order.\nAnswer: -84, -25, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12616 and 15656.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -156 - -191. Suppose 0 = -11*d + 9 + r. Calculate the least common multiple of 12 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -269*n - 156*n - 690*n to the form a + s*n and give s.\nAnswer: -1115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3192 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(84)*-2)\/sqrt(6) - sqrt(14)) + -4*sqrt(686))\/(sqrt(700)\/sqrt(4) - sqrt(7)*4*-2).\nAnswer: -31*sqrt(2)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 610 = 7*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6769 less than 36.4?\nAnswer: -6732.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2518 a factor of 1389727006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of 3*s**6\/40 + 11*s**5\/60 + 7*s**2 - 14*s. Let n(t) be the first derivative of i(t). Find the third derivative of n(k) wrt k.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1284 - 124555?\nAnswer: -123261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of v**4\/12 - 2*v**3 - 5*v**2. Let f be b(-10). Let a = -18 - f. Calculate the lowest common multiple of a and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(15\/(-6))*5. Let a = j + 0. Suppose q - 5*o = -2, -a*q = o + 3*o - 52. Calculate the greatest common factor of 27 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -6. Suppose -t + 13 = -a*t. Let k = t + 71. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -6*d**3 + d**2 + 2*d + 1. Let c be m(-1). Let s(k) = 4*k**2 + 17*k - 10. Let g(a) = -a**2 - a + 1. Let j(y) = 5*g(y) + s(y). Is j(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t**3 + 326*t**2 - 4440*t + 3. Give v(15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -32994 to the nearest 1000.\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -29 + 2a?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112002002200 + -121012?\nAnswer: -112002200212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 1000001101101100100100100010?\nAnswer: 1000001101101100100100100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2*sqrt(405) + 0 + sqrt(320) + sqrt(5) - -6*(sqrt(360)\/sqrt(96))\/sqrt(12))**2.\nAnswer: 1121\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cqrrqrrrrcrcqrrrrrrc. What is prob of sequence qqc?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -222*r + 307*r = 1926865. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-4*(sqrt(84) + -1*sqrt(84))*-2)\/(4*(1*sqrt(432) - sqrt(432)) + -2*1*sqrt(432)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 175 (base 15) to base 16.\nAnswer: 14f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -k + 2 - 30, 4*k + 4 = 0. Let f = t + 19. What is the remainder when 29 is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 7, -1, -44, 4 in decreasing order.\nAnswer: 7, 4, 1, -1, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 4*v. Let f(l) = -l + 2. Let g be f(5). Calculate b(g).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3634 is divided by 1196?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -11.8 and 1113.46658.\nAnswer: 1101.66658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**2 + 7. Let d(k) = 3*k + 1. Let a be d(-1). Let l be a\/2 - (4 - 0). Let o(t) = 2*t**2 + 8. Calculate l*o(c) + 6*x(c).\nAnswer: 2*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 12*y**3 + y**2 - y. Let m be v(1). Suppose 5*l = -3*q + 11, 3*q + m = 2*l - 5. Suppose 2*t - t - 1 = 0. Is t != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18*(-219)\/690 - 3\/15 - -6.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 u, and 2 l when four letters picked without replacement from ellueell.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 92, 383, 876, 1571, 2468, 3567, 4868?\n\"Answer: 101*m**2 - 12*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1*(-6)\/(-9))\/((-12)\/2466)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus -0.0509302?\nAnswer: 3.9490698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - 10*t**2 + 13*t - 9. What is the units digit of c(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -11*q**3 + 17*q**2 + 21*q - 15. Suppose -6*p = -8*p + 30. Let h be c(p). What is h rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9132521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7035 and 9.\nAnswer: 21105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16 - 35 + 155*v - 226*v**2 + 10 + 9 wrt v?\nAnswer: -452","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 765 divided by -6?\nAnswer: -255\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-120)\/210)\/(4\/(-70)))\/6.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1092*f - 275*f = 27340 for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i - 12. Let m be s(9). Let j = -0.1 - -5.1. Let t(v) = v**3 + 33*v**2 + 116*v + 2. Let z be t(-4). What is the second biggest value in m, j, -3\/4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, -315, -4 in decreasing order.\nAnswer: 4, 3, -4, -315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -2\/7 (b) 1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 251? (a) 0.4 (b) 4 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**3 + p - 2 + 327*p**2 - 326*p**2 + 0 to the form z + n*p**2 + l*p**3 + y*p and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.12 - -134.88. Let d = 109.6 - v. Let q = -26 - d. Which is the nearest to 3\/5? (a) q (b) -5 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7056725*h**2 + 4211698.\nAnswer: 14113450*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 1. Let z = 167 - 1836\/11. Let x = 46 - 48. What is the closest to l in -0.5, x, z?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 350859 to the nearest integer?\nAnswer: 592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.17 + -7.2527.\nAnswer: -7.4227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115255 is divided by 2800?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 57, 87, 129, 183, 249, 327?\nAnswer: 417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/((-12)\/(-16)) + 17. Let s = -19 + x. Determine g, given that -1\/3*g**s - 1\/3 - 2\/3*g = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -r**2*z**2 + 2341670*r**2 - 87732*r*z**2 + 5*r wrt r.\nAnswer: -2*z**2 + 4683340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vz when two letters picked without replacement from vyaayhvoovaz.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*(-199*l + 97*l + 73*l)*(2 + 1 + 0) + 4*l - 4*l - l.\nAnswer: 86*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -n**4\/7 + 21*n**3 - 5331*n**2\/7 + 5185*n\/7 = 0.\nAnswer: 0, 1, 61, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2 - 5 + 281*s + 0 + 2. Let o be r(2). Is o\/3 + 4\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y - 46*y + 8*y.\nAnswer: -34*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -143*t**2 + 399*t - 34. Let z(m) = -286*m**2 + 665*m - 68. What is -5*s(p) + 3*z(p)?\nAnswer: -143*p**2 - 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 8 = 14. Suppose 2*s - 6 = 0, h*s - 4 = -5*y + 2. Solve y*a + 8 = -2*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(19) + -5 + -3 + sqrt(19) + -1)*-3*4)**2.\nAnswer: -7776*sqrt(19) + 36288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7258*f**3 + 3592*f**3 + 3677*f**3.\nAnswer: 11*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -272.82387753336\nAnswer: -277.82387753336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 877 is divided by (27\/18)\/(((-3)\/(-220))\/1).\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 times 0.3?\nAnswer: 36.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -11*y**6\/180 + y**5\/10 + 10*y**3 + 36. Let u(m) be the third derivative of k(m). Find the second derivative of u(b) wrt b.\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**5\/13 - 32*d**4\/13 + 64*d**3\/13 + 812*d**2\/13 - 2466*d\/13 + 1620\/13 = 0. What is d?\nAnswer: -5, 1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 + 2*f**2 + 13*f**2)*(-2 + 2 - 2)*(0*f**2 + f**2 + 3*f**2) + (f**2 - 2*f**2 + 3*f**2)*(f**2 + 5*f**2 - 3*f**2).\nAnswer: -114*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m + 3*m - 3*m + (-2 + 1 - 4)*(3*m + 0 + 0) + (3 - 2 + 1)*(m - 2*m - 3*m) + 4*m + 0*m - 6*m as s*m + v and give s.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1*sqrt(832))**2 + (sqrt(91) - (-6*(sqrt(91) - (-1*sqrt(91) + sqrt(91) + sqrt(91))) + sqrt(91)))\/sqrt(7).\nAnswer: -64*sqrt(13) + 848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69, 79, 87, 93, 97, 99, 99?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(187)*3)\/(sqrt(11) - (sqrt(11) - ((sqrt(77)*2)\/sqrt(7) - sqrt(11)))))**2*1.\nAnswer: 3825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -3*f + 0 + 1\/12*f**4 + 1\/3*f**3 - f**2. Determine u(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -13194.803?\nAnswer: 13197.803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 7966*t - 2. Let i(m) = -1311*m**2. What is u(i(l))?\nAnswer: -10443426*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 5*v + 26 = 3, 0 = -v + 4. Is 8 equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14e + 331e?\nAnswer: 346d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.284654492 take away -12210?\nAnswer: 12210.284654492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -4*x + 340, -a = 5*x + a - 453. Round x to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of 17*d**7\/70 + 11*d**5\/60 + 5*d**3\/6 - 86*d**2. What is the third derivative of y(l) wrt l?\nAnswer: 1224*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24.6 - 25.1. Let n = 4 - 6. What is the closest to 0 in n, 5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 12:11 AM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-20))\/((-6)\/20).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 79254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 5*r - 10 = 0, -6*a - 31 = -a - 2*r. Let d be (-18)\/(-190) + a\/25. What is the third biggest value in -3, -10, d?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4178 = -196*j - 20*j + 10874 for j.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(140)*-1 + sqrt(140))*6 - sqrt(140))\/(sqrt(90)\/sqrt(2)))**2*-2*-2.\nAnswer: 224\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11100211101221201 - 1?\nAnswer: 11100211101221200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y + 2. Let s be k(-2). Let u be s\/((-16)\/(-12)) + -3. Sort 2, 5, u in decreasing order.\nAnswer: 5, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 28? (a) -22 (b) 4 (c) 2\/209\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i - 2*i = -12 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) - -5*(sqrt(119)*-3 - sqrt(119)))\/sqrt(7) - -6*sqrt(425)*-2)**2.\nAnswer: 106097","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + 7*u + 11. Let v be r(-6). Suppose 0 = -b - v*b + 30. Solve b*m + k = -4*k - 50, -5 = k for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = g - 28, -3*j - 9 - 5 = -2*g. Let k(v) = v**2 + 8*v + 13. Let r be k(j). Solve 2*f + r = -3 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 483929530 divided by 1085.\nAnswer: 446018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, m: 1}. What is prob of sequence mrr?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 1552*a. Let y(n) = 42*n**2 - n. Give y(j(p)).\nAnswer: 101165568*p**2 - 1552*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 648 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*(-1 - 0) + 131 + -127. Let a(p) = p**3 + p**2 - 2*p - 3. Let o be a(-2). Let k = 5 + o. Put u, k, 5 in ascending order.\nAnswer: u, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 + (1402 - 1420 - (0 + -17)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 853753?\nAnswer: 79, 101, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 105? (a) -2 (b) 4 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -1, -5, -4475, 5 in ascending order.\nAnswer: -4475, -8, -5, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of l**5\/60 + l**3\/2 - 465*l**2. Let m(o) = -34*o. What is c(m(b))?\nAnswer: 1156*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18520206 is divided by 26?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -24.9581 greater than -36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2180 = -77*i - 640. Solve 3*a + 5*b + 6 = -11, i = -5*b for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44858840 and 2248.\nAnswer: 2248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 12:15 PM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 361, 393, 401, 385, 345?\nAnswer: 281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.024122 rounded to four dps?\nAnswer: 0.0241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**2 + 9*f + 16. Let y be j(-6). Let w = y + -15. Suppose 0 = 5*o - 28 - 7. Calculate the remainder when w is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(96) + -4*(sqrt(96) - (sqrt(96)*1 + sqrt(96) - sqrt(96))) + sqrt(96))\/(sqrt(144)\/sqrt(3)).\nAnswer: -2 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*o + 66*o + 247 = 122*o for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16953\/50 + -339. Suppose -16*s + 19*s + 3 = 0. Which is greater: n or s?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -4174 = -4175?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28054?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -218.8 + 38.8. Let x = h - -183. Is -38 greater than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*s - 36*s = 96 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by -270684?\nAnswer: -1\/30076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13233450 to the power of 1\/2, to the nearest integer?\nAnswer: 3638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from mnnnnnnnmnnn?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 0.2 (b) -3 (c) 4 (d) 1\/17 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 1024983.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -167*b**2 - 2*b - 2. Let r be i(3). Suppose 0 = -4*x + t + 4282, -1081 = 3*x - 4*x - 5*t. Let g = x + r. Round g to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -13*r**3 - 5*r**2 + 51*r + 94. Determine p(-2).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40 - 202\/5. Let t(q) = -q**2 + 20*q - 3. Let h be t(20). Let u be ((-66)\/14)\/h + -1. Which is the nearest to 1? (a) u (b) g (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3}. Give prob of picking 3 z.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -16. Let m(x) = -12*x - 4. Calculate the remainder when m(-4) is divided by 10\/(-5) - j\/(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -55*k + 1. Let x(s) = 2*s + 22. Give h(x(b)).\nAnswer: -110*b - 1209","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 46757.74ml?\nAnswer: 46.75774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3799698 and -6.\nAnswer: 3799692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177184?\nAnswer: 2, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 82\/117 + -77\/13. What is the common denominator of g and 10\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 0. Suppose -45 = -7*i + 4*i. Suppose -60*w + 55*w = i. What is the third biggest value in w, x, -1\/8?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 - 31.1. Let h(o) be the third derivative of o**4\/24 - 4*o**3\/3 - 2*o**2. Let i be h(5). Sort -1\/5, i, d in descending order.\nAnswer: d, -1\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 232 and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 191, 3, -1059.\nAnswer: -1059, -0.5, 3, 191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -3848502 < -3848502?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 17\/2 - 2\/4. Let v = b + -5. Suppose -125*o = -119*o - 42. What is the remainder when o is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32131322 (base 4) in base 7?\nAnswer: -334523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (-92)\/(-4) + -28 + (5 - (-45 - -4)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 4019476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2 - 19*i**2 + 10*i**2 - 18 + 22*i**2 wrt i?\nAnswer: 26*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/12*(38985\/644)\/113\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 166*n**2 + 32*n - n**3 - 166*n**2 - 5*n + 2 as d*n**3 + u*n + k*n**2 + p and give u.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**2 - 2*s**3 - 2*s**2 + (-2 + 0 + 1)*(2*s**3 - 5*s**3 + 2*s**3) + (4*s**2 + 4*s**2 + 2*s**2)*(6*s + 0*s - s).\nAnswer: 49*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18277857, -18277865, -18277883, -18277917, -18277973?\nAnswer: -18278057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1390494435?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 843023 + 0.53954?\nAnswer: 843023.53954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45720171.\nAnswer: 3, 7, 61, 11897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 323 equal to 535?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-20)*4*1\/(-2)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 15 = 14. Let n = 32 - o. Suppose 4*u - 180 = n*u. List the prime factors of u.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p**4 + 305*p**3 - 4495*p**2 - 4805*p = 0. What is p?\nAnswer: -1, 0, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 24 = 2*m, 4*m = -b - 24 + 23 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 779578530 to the nearest integer?\nAnswer: 920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (150\/60)\/(5\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*p + g = 29*p - 17, -4*p + 16 - 54 = -2*g for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 195*w - 114. Let u be g(6). Let k = 1059 - u. Solve -15*a**2 + 5\/2*a**4 - 20*a - 15\/2 + 0*a**k = 0 for a.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -68929 greater than or equal to -1309636\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1 is divided by (9\/45)\/((-1)\/(-5))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -4*j. Let l(y) = 5*y - 262. Let p(w) = -w + 78. Let t(i) = 2*l(i) + 7*p(i). Give s(t(k)).\nAnswer: -12*k - 88","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (98\/(-12))\/((-605)\/(-3630))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279 is divided by 80?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mlg when three letters picked without replacement from mlkmmllpgmlemep?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1218617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1945.11671 rounded to 0 dps?\nAnswer: -1945","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4922763705 rounded to the nearest 1000000?\nAnswer: -4923000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1160 + 782 = -105*y + 682 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (18 + -14 + 5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 64823 by 48.\nAnswer: 64823\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 540? (a) -0.3 (b) -5 (c) -7\/13 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 13381 (base 9) to base 15\nAnswer: 2a44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**5\/11 + 20*i**4\/11 + 560*i**3\/11 + 940*i**2\/11 - 138*i = 0 for i.\nAnswer: -11, -3, 0, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/35962 (b) 1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -6 + (2 - -1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of -5\/2*j**2 + 1\/12*j**4 + 1\/6*j**3 + 0 - 32*j. What is the units digit of l(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -911 - -1553. What is the remainder when o is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 456\/169 in 2, 3\/4, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 137038 + -85457. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 - -21. Let d = a + 10. Let x(j) = -j**3 - 20*j**2 + 18*j - 16. Calculate the remainder when x(-21) is divided by d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/25593 and -4\/99?\nAnswer: 844569","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -673006 + -3?\nAnswer: -673011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**2 + 0*g**2 + g**2 + (3 + g - 3)*(25*g - 208 + 208) to a + s*g**2 + x*g and give s.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 21, 7, -4, -3, 250 in increasing order.\nAnswer: -5, -4, -3, 7, 21, 250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ajp when three letters picked without replacement from aepjo.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*z - 4*z = -221. Let a = z - -19. Solve 3*i - 1 - 2 = -t, i + a*t - 6 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8434 is divided by 927.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 73463866*g**6 - 2*g**2 - 74106683*g.\nAnswer: 8815663920*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 10*f - 12. What is x(-4)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o**2 + 5. Let r(d) = 13 - 3*d**2 - 16 - 14*d + 13*d + 2 + 6. Determine 4*b(w) - 3*r(w).\nAnswer: w**2 + 3*w + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 = 153?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of -1247*l**4\/24 - 3989*l**3\/2 + 3*l**2 + 1257*l + 1. What is the first derivative of x(q) wrt q?\nAnswer: -1247","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/9, 0, 75\/47, 3?\nAnswer: 75\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4\/5*o + 0 + 2\/5*o**3 + 2\/5*o**5 + 6\/5*o**2 - 6\/5*o**4 = 0 for o.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.43 - -480.87.\nAnswer: 481.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 1:13 PM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 4, 1, -19, -869 in descending order.\nAnswer: 4, 1, -4, -5, -19, -869","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338 is divided by 57?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -2*p**3\/3 - 3. Let o(r) = -r**2. Let m(h) = -3 - 6*h**2 + 3. Let x(k) = -m(k) + 4*o(k). Calculate x(f(u)).\nAnswer: 8*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -7. What is the remainder when (-24)\/2*j\/(-8) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 3) in base 8?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 670?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -23303, -93193, -209669, -372731?\n\"Answer: -23293*x**2 - 11*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1900459.8 months in decades?\nAnswer: 15837.165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of p**4\/6 - 115*p**2. Calculate the remainder when 29 is divided by z(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 p when two letters picked without replacement from spsoyy.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6933579 to the power of 1\/2, to the nearest integer?\nAnswer: 2633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(192) + 5)*-3 - (sqrt(192) - (sqrt(192) + 3)*-1))*-5)**2 + 3.\nAnswer: 36000*sqrt(3) + 128103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = 4*v + 24, -5*v + g + 13 = 29 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3212011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176))**2 + sqrt(11) + (sqrt(1331)*-4)**2.\nAnswer: sqrt(11) + 21472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.2 - -2.3. Let o = -0.9 - h. Let i = -957\/5 + 191. What is the closest to o in 2\/5, -1\/20, i?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -150090*k**2 - 98362?\nAnswer: -300180*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 9*n**2 + 9*n + 4. Let t be b(-8). Let x be (6\/(-12))\/((10\/12)\/(-5)). Sort -5, t, x in descending order.\nAnswer: x, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1371 - 1337. Calculate the remainder when 78 is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*m - 297 - 3*m**2 + 133 - 171.\nAnswer: -3*m**2 + 7*m - 335","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-5)*h**4*h**(-4)\/h*h**(3\/4))\/((h**(-1))**(-2\/19))**(-1\/3) assuming h is positive.\nAnswer: h**(-961\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34808008.\nAnswer: 2, 4351001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.975935 to two dps.\nAnswer: 0.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1380 and 2760?\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eede when four letters picked without replacement from eede?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/75 of a week?\nAnswer: 16128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -716634780 divided by 3143135?\nAnswer: -228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -6*f. Let o be c(8). Let n be o\/2*(-18)\/8. Suppose 2*a = 2*z - 0 + 36, 2*z - n = -4*a. What are the prime factors of a?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 55 + -65.8. Let y = 10.57 + n. Which is the smallest value? (a) -4 (b) y (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(1 - (-91)\/(-70)). What is the hundreds digit of 1\/(y\/(-48)*36\/(-810))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1124 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: Do -846.68 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15a797 + -9?\nAnswer: -15a7a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1365 + -1244 - 954\/8.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -942, -1546 in decreasing order.\nAnswer: -18, -942, -1546","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*m - 6 = -135*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5*y = 5*t - 1634, 2*t - 818 = -2*y. Let i be 20\/(-6)*(-72)\/20. What is the common denominator of y\/(-15)*(-5)\/i and 113\/14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (41 - 57 + 3*i - 160 - 83)*(6*i + 11*i - 25*i) to c*i**2 + v*i + l and give v.\nAnswer: 2072","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) 8\/29 (c) -1\/4 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (12 + (-10 - -4) - (16 + -89 + -11))?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 908 is divided by 443.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/54*171\/228.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 3*z - 121 = 0, -z = u + 3*z - 16. Let n = u - 17. Solve 3*x = -3*b - b - n, 5*b - 3*x - 20 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 22961075*x + 12752711 wrt x?\nAnswer: 22961075","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 >= 5735\/103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 1. Let h(x) be the second derivative of 3*x**5\/20 - x**4\/12 + 3*x**2\/2 - 143*x. Determine -h(f) + 3*r(f).\nAnswer: -6*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (67 - -2) + (-2 - -4). Suppose 0*w + 3*w - h = -r, 0 = 3*w + 4*r - 77. Calculate the remainder when 88 is divided by w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2143.07m in kilometers?\nAnswer: 2.14307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 11) to base 10\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16558 to the power of 1\/2, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - k - 3*k)*(3 - 2 + 1) + (-36*k + 19*k + 13*k)*(-3 + 9 - 2).\nAnswer: -20*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -61, -119, -177?\n\"Answer: -58*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-21))\/((-3224)\/112 + 28).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34.0961 + 34.1. Round g to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2484*b. Let q(n) = 26*n**2 + 11*n - 407. Let y(r) = -9*r**2 - 4*r + 148. Let i(h) = 4*q(h) + 11*y(h). Give t(i(w)).\nAnswer: -12420*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5467299816?\nAnswer: 2, 3, 11, 41, 47, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3953087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 243939599*b*j**2 - 3*b*j - 3768378*j + 2 wrt j?\nAnswer: 487879198*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 771 + -270. Does 32 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 42*k**2 + 89*k + 133. What is i(-44)?\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 661, 0.3, 5 in decreasing order.\nAnswer: 661, 5, 0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 40 = f. Suppose -4*b + f*b = -9. Let g(y) = y**3 + 8*y**2 - 20*y + 4. What are the prime factors of g(b)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 6:23 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 5, -126, 1\/8, -1.3, -5 in decreasing order.\nAnswer: 5, 2\/9, 1\/8, -1.3, -5, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + m - 5*n + 3, 4*m + 21 = 3*n. Let c be ((-70)\/(-21))\/(2\/m). Suppose -6*z + z = 2*b - 3, -17 = 5*z - 3*b. Put z, c, 5 in ascending order.\nAnswer: c, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 367181.\nAnswer: 367181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 87948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 6) to base 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 7*n = 2*j - 2, 3*j = -3*n + 3. Suppose n = -4*d - d + 360. Calculate the greatest common divisor of d and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 9:56 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -4*h + 36. Let z be x(8). Let c be -13 + 2 + -1 - z. Let a be (8\/3)\/(c\/120) + -3. Is -24 equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -316 + 2529\/8. Put -26, 3\/2, 1, a in ascending order.\nAnswer: -26, a, 1, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 307, 525, 745, 967, 1191, 1417?\nAnswer: 1645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + r + 3. Suppose 5*t - 39 + 319 = 5*j, 5*t + 10 = 0. Let f be (-4)\/18 + 12\/j. Let q be i(f). Solve 5*g - 18 = -a, 4*a - g + q + 9 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 21*v. Let h(t) = -14*t**2. Give h(n(w)).\nAnswer: -6174*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -24 - -7b764?\nAnswer: 7b740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -473*l**3 - 2*l**2 - l + 1. What is the units digit of h(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by (156\/(-65))\/((-1)\/5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -12 + 3 + -24 + 4.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 491286640.\nAnswer: 2, 5, 13, 472391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23304041 (base 5) to base 12.\nAnswer: -a3339","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 40 divided by 8\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41\/123*(-1164)\/(-10) + (-6)\/(-5).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3121074 and 198.\nAnswer: 3121074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1674077769 to the nearest integer?\nAnswer: 1187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 0.4, -15, 94 in descending order.\nAnswer: 94, 1\/2, 0.4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l = -2 - 12 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 - 30 + 2)*(-5 - 5 + 3 + 4 - 3 + 0 + (1 + 1 - 4)*(1 - 2 - 1))*(2 - n**2 - 2)*(-3 + 3 + 3*n) as r*n + c*n**3 + s*n**2 + m and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 33 = -a, -4*a + 2*t + 5 + 107 = 0. Let c = 37 - a. Calculate the lowest common multiple of c and 9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 35114871?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 172 - 22. List the prime factors of t.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12499208 and 878.\nAnswer: 12499208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -471144244, -471144242, -471144240, -471144238?\n\"Answer: 2*r - 471144246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -31? (a) -2 (b) 33 (c) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 c when three letters picked without replacement from {q: 4, j: 2, b: 1, c: 4}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9762 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/2079315 and -91\/28290.\nAnswer: 4158630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49*v + 107*v + 12 + 0 - 52*v to z + l*v and give z.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 17*x**2 + 8*x - 8. Let k = -18 + 20. Let o(y) = -3*y**2 + k*y**2 - 5*y - 2*y**2 + 5 - 8*y**2. What is 8*o(a) + 5*u(a)?\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-52) + (6\/24)\/(39\/(-384))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 166 - 501 - 125 + 21*d - 19*d to the form n + j*d and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*4\/16*(-24)\/(-45)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 17*a. Let f be 20\/(-5*(-4)\/20). Let s(v) = -13*v**2 - 8*v**2 + f*v**2. What is s(p(x))?\nAnswer: -289*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 852 is divided by 135?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -7*c + 29. What is the units digit of m(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84 and 1974.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*r - r - 322. Let w = 4 + -17. Let s = r + w. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1946 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - h = -3*a + 50, 2*a - 4*h - 30 = 0. Suppose a = -4*v - 11. Let c(y) = y**2 + 6*y - 6. Let w be c(v). Solve -r + 4*g + 5 = 0, 2*g = r - w - 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*q - 18*q**2 - 8*q + 0*q as a + v*q + y*q**2 and give y.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 23304 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -9*b + 0*b**2 + 0 + 2\/3*b**3 - 1\/6*b**4. Find the second derivative of d(z) wrt z.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06433 take away 7.5?\nAnswer: -7.56433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 (base 13) in base 9?\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 24 = -12*h - 7*h + 24*h, 2*s = 7*h + 24 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - 11*y + 11. Suppose -61*f = -24*f - 407. Determine n(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 2. Suppose -4*w - 6*t + t = 9, 0 = -3*w - 2*t - 12. What is the third biggest value in w, -1\/3, r?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 65983.63g?\nAnswer: 65983630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -13.72 (b) 2 (c) 0.3 (d) 244\/5 (e) -1 (f) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 6, z: 1, s: 3, k: 3, b: 2}. What is prob of sequence kz?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -65 (base 7) to base 10.\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/3 + (-3)\/(-9). Let d(p) = p**3 - p**2. Let n(t) = 5*t**3 - t**2 - 3. Let c(h) = j*d(h) + n(h). What is the derivative of c(x) wrt x?\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 203 - -2?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2457 = 3*w, 2*h = -2*w + 3*h + 1635. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 4786 = -3*a - 4646, -2*r + 4*a + 30 = 0 for r.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -634 (base 8) in base 6?\nAnswer: -1524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -22*z**2 + 21. Let y(r) = -15*r. Give l(y(q)).\nAnswer: -4950*q**2 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*i = -33*i - 21. Let g(u) = -u**3 + 6*u**2 + 6*u - 10. Determine g(i).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -11249473\nAnswer: 1\/11249473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/19030 and -23\/275?\nAnswer: 95150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - -4 - 16 - (-2 + 2 + -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -911*d*q**2 + 1819*d - 5*q**3 wrt q.\nAnswer: -1822*d*q - 15*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -m**2\/2 + 12*m - 2. Let u be k(8). What is the highest common factor of 28 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xp when two letters picked without replacement from {x: 3, u: 3, o: 4, p: 1}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 10.16, 2.\nAnswer: -0.1, 2, 10.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 41*n + 11. Let m(i) = -61*i - 16. Let k(p) = 7*a(p) + 5*m(p). Let z be 25\/10*(-4)\/5. Is k(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39005 is divided by 197?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1232203 divided by -5\nAnswer: -1232203\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (405\/(-18))\/(-5)*1\/(-6).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -41 in -3, -2\/13, -3\/2, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 2 - 11 = 5*p, 5*m = -3*p. Let w = -3 + m. Suppose -66 = -3*v - w*v. What is the remainder when v is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o + 1. Let a(s) = s**3 - 5*s**2 + s - 1. Let m be a(5). Suppose m*n - 2*d - 18 = d, -n + 9 = -3*d. Let q be t(n). Solve q*u = 2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (249*-5)\/((-1)\/(-3)). Let q be t\/6*(-4 - 0). What is q rounded to the nearest one hundred?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21*8\/(-56)*1*-3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -137, 1760, 3683, 5638, 7631, 9668?\n\"Answer: x**3 + 7*x**2 + 1869*x - 2014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(252) + 2) + -3 - ((-1*(sqrt(252) + -1) - sqrt(252)) + 4*(sqrt(252) - (sqrt(252) - 1*sqrt(252)))))**2.\nAnswer: 216*sqrt(7) + 2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p = -11*p. Suppose -94 = 3*d + 2*k + 2*k, p = -2*d - 2*k - 62. Let l = 33 + d. Solve -4*n + 3*v = -2*n + 14, l*n + 3*v = -6 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75257732?\nAnswer: 2, 11, 1710403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/27 and -82\/45?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -58, -105, -150, -187, -210, -213, -190?\n\"Answer: k**3 - 5*k**2 - 39*k - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 283?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 551484, 551479, 551474, 551469, 551464, 551459?\n\"Answer: -5*h + 551489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -1\/2, -81?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/8 and -5\/148?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13137 or -13138?\nAnswer: -13137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 122\/14 + 4\/14. Let l(f) = 4*f**2 - 5*f**2 - 8 + 8 - f + 17. Let h be l(-4). Solve 2*t = h*t + d for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -6*d + 42. What is the least common multiple of 6 and h(-82)?\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1623125 a multiple of 625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -4*o. Suppose 5 - 17 = -4*a. Let q(i) be the second derivative of -3*i - 1\/3*i**a + 0*i**2 + 0. What is b(q(u))?\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 18\/9227?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 885\/3 - 3 - 1. Let b = x + -195. What is the greatest common factor of 12 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of g**3 + 2393*g + 7510 wrt g.\nAnswer: 3*g**2 + 2393","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 20 = 4*r, -2*u + 25 = -3*u - 5*r. Let d be 5\/20 - 1\/4. Let m be -2 + 2 + 1 + d. Solve 2*v + z - m = u, -z = -v + 2*z - 10 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 4, 5*t + 0*p = 2*p + 28. Let w(n) = -n**2 + 17*n - 26. Let z be w(18). Let s = 60 + z. Solve -t*f = 5*d + s, 2*f - 7*d - 22 = -2*d for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - 43006113.\nAnswer: -43006110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4325139?\nAnswer: 3, 7, 13, 5281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*f*r**2 + 544*f - 221*r**3 - r**2 + 2*r wrt r?\nAnswer: 12*f - 1326*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uwwwoolucogoo. Give prob of picking 1 g and 2 o.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 605.9*0.12\nAnswer: 72.708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2410 rounded to the nearest one hundred?\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 31*i - 7. Give z(-1).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3059088 and 5098480.\nAnswer: 15295440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 4*y - 2*r + 1, -2*r = y + 13 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1000111111111101101 (base 2) to base 8\nAnswer: 1077755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.94118 times -0.063\nAnswer: -0.05929434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23\/3 - 15\/2. Let u = -0.1 - -0.2. What is the nearest to u in z, 1\/3, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9 + 2 + (-12)\/(271440\/(-157866)) and -19\/117.\nAnswer: 33930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 40*g*y**3 + 7*g + y**5 - y - 13 wrt y.\nAnswer: 240*g*y + 20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 657356.\nAnswer: 2, 7, 17, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 728525771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert c14d24 (base 16) to base 9.\nAnswer: 25747443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 54*v**2 - 876*v - 8. Determine r(-13).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -341 + 335 + (0 - (-29 + 2)) - 4?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4888, -9763, -14642, -19525, -24412?\n\"Answer: -2*k**2 - 4869*k - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22595522.\nAnswer: 2, 19, 23, 103, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 0 + 4 - 3 + 3*j**2 - j + 4*j - 2*j**3. Let c(b) = -7*b - 1 + 6*b + 1 - b**2. Give -3*c(m) - n(m).\nAnswer: 2*m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105 - -6 - (-2295308)\/23180.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*u + 36*u = q, -3*q - 3 = 2*u for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 39355499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -3*i - 0*i + 1, 22 = 3*j - 2*i. Suppose 5*x = -3*b + 22, 3*b + 14 = 5*b + 4*x. Solve j*g = -b - 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107605 is divided by 13446?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ob when two letters picked without replacement from {m: 2, w: 1, o: 2, b: 1, p: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.7 and 30.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -27? (a) 2\/13 (b) 2\/7 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 2*t. Suppose -5*u - 7*o = -4*o + 15, -3*u + o = -5. Suppose a + u*a - 71 = t. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -1, 1, -14, -12 in ascending order.\nAnswer: -14, -12, -7, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 77, 74, 71, 68, 65, 62?\n\"Answer: -3*y + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 11. Suppose x*m = -4*m + 24. Which is smaller: 5 or m?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 7*s**2 + 10*s - 18. Suppose 20 = 8*j - 28. Calculate the smallest common multiple of 21 and p(j).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5599*h**3 + 9819*h**2.\nAnswer: -33594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 457330?\nAnswer: 2, 5, 19, 29, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6288559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 692894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -2*f - 3*f + 655, 0 = -4*f - 4*o + 508. What is the highest common divisor of 12 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - 1 - (4 + 2). Let z = -77137\/595 + 2269\/17. Let c = 24\/7 - z. What is the biggest value in c, u, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2\/4 + 249*n\/4 - 330.\nAnswer: 3*(n - 5)*(n + 88)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -8. Let y be 3 - 3 - l\/4. Solve y*j + j = 2*a - 3, -3*j = -4*a + 7 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 246*q**2*t**4 + 68*q**2 + 4*q*t**4 + 2*q*t - 3*t**2 - t wrt t?\nAnswer: 5904*q**2*t + 96*q*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/(-5) - 6\/(-15). Let w = 9 + u. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3, 9, 31, 69, 129, 217, 339?\n\"Answer: i**3 - i**2 + 8*i - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28073 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of -k**6\/480 + k**5\/40 + k**4\/6 - k**2 - 51*k. Factor m(c).\nAnswer: -c*(c - 8)*(c + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-3))\/(6\/(-18)). Solve 0 = 3*n - 4*v + l, -3*n + 5*n = -3*v + 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22.1*4\nAnswer: 88.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*w + 25 = 0, w = 5*q - q - 35. Calculate the least common multiple of 62\/q - (-10)\/(-50) and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 0. Let k = -1 - f. Let t = k + 6. Which is the second biggest value? (a) -0.2 (b) t (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + -19 + -37 + 10 + 20?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 81\nAnswer: -5\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 3 + 3)*(6*m**2 - 3*m**2 + 4*m**2) - 2*m**2 + 1 + 2*m**2 + m**3.\nAnswer: 15*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7544 + -4?\nAnswer: 7540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -9624798.3 to the nearest ten thousand.\nAnswer: -9620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 5*z - 24. Let k be y(6). Do k and 8 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -10101 - b**2 - 4*b + 0*b**2 - 2*b + 10095. Determine q(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 2 + 3 = m, 19 = 4*m + 5*u. Calculate the greatest common factor of 12 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4536 and 1728?\nAnswer: 36288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 85198.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rmxrkgggrk. What is prob of sequence xgm?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1151538787?\nAnswer: 7, 1217, 135173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 473796013?\nAnswer: 157, 3017809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 158986*g**3 + 386716*g**2?\nAnswer: 953916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*p - 2*p + 6*p)*(7 - 4 - 1).\nAnswer: 20*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29224, 29232, 29240?\nAnswer: 29248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (10 + -5 + -21) - (-21 + 9).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-63)\/18)\/(903\/(-86))*17?\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**0)**(18\/5)*(g**(-1))**(-3\/5))\/(g*g**(-3\/2)*g*g**(2\/7))**22 assuming g is positive.\nAnswer: g**(-584\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2872 or 2870?\nAnswer: 2872","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 775*l - 785*l + 10 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nqsjr. Give prob of picking 1 r and 1 s.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hlvunvnu. What is prob of picking 1 u and 1 n?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(1\/2))\/t*t\/(t\/(t*t**(-5\/6)*t*t))*(t**(2\/13)\/t)**23 assuming t is positive.\nAnswer: t**(-655\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 57675.81 centuries?\nAnswer: 69210972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 10:27 AM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1*sqrt(33) - sqrt(33)))\/(sqrt(27)\/(sqrt(18)\/sqrt(2))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 + 2*k**2 - 20*k + 26. Let u be z(-6). Solve 5*x - u*m - 25 = 0, 3*m + 1 = -3*x + m for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 410 - 410 + 225*i.\nAnswer: 225*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9.4 - -48.4. Let r = -33.8 + s. Let p = -5 + r. Sort 1\/4, -0.2, p in ascending order.\nAnswer: -0.2, p, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnonoodnndooooonon. Give prob of sequence non.\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-2) + 4\/8. Is 5 a factor of (t + 0\/3)*9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*o + 3*x = 75 - 32, 40 = 4*o - 5*x for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*l + 4 - 4 + (1 - 1 + 2*l)*(4 - 2 - 3) + 0*l + 2*l - 3*l - l - l + l + 5*l + 9*l - l - 2*l as d*l + v and give d.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 99*f**2 + 86*f + 60. Let h be m(21). Round h to the nearest 1000.\nAnswer: 46000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*i + 2*i. Suppose 5*d + 35 = 5*w + 5, -i*w - 3*d + 31 = 0. Does 6 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.88 + 9.98. Let t = -9.6 + o. What is the third smallest value in t, 2\/9, 0.5, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 10 + 2 = -2*s, 48 = 4*s - 8*n. Solve 3342 - 3334 = -s*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1981 or 1982?\nAnswer: 1981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of f**6\/720 - 5*f**3\/3 + f. Let g(j) be the second derivative of o(j). Factor g(i).\nAnswer: i**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1\/7 (b) 3 (c) -1 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -d - 3, -3*f + 0*f + d - 11 = 0. What is the remainder when f\/(-8) - (-4596)\/48 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1025952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of 3*p**2\/2 + 4*p - 203509. Let r(k) be the second derivative of k**4\/3 + k. Determine r(m(v)).\nAnswer: 36*v**2 + 96*v + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9084 + 36331\/4. Sort m, -0.5, -5\/8, -1\/3.\nAnswer: m, -5\/8, -0.5, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2107*l - 7071*l - 6555*l)*(5*l**2 - 2*l**2 - l**2).\nAnswer: -23038*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14725288*c**3*k**2 + 2*c**2*k + 503*c**2 - 3*c*k**2 - 1117*k**2 wrt c.\nAnswer: 88351728*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a7 - 10?\nAnswer: -b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 34768845?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -26.4 (b) 3619 (c) -0.3 (d) -4\/5 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/426 - -3415\/2982. Let i = 533.0451 + -0.0451. Let n = -534 + i. Which is smaller: n or j?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10761 - 10760. Solve -19*n - 4*c - 4 = -24*n, -n + c = -j for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 290 - 290 - 2*d**3 - 24*d**2.\nAnswer: -2*d**3 - 24*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(52)\/sqrt(64))**2.\nAnswer: -39\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10985 or -11072?\nAnswer: -11072","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + 31*o + 1325. What is b(-24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-875)\/(-250) - (1 + (-2)\/(-4)). Let w(r) be the first derivative of 0*r**k + 2\/27*r**3 + 7 + 1\/18*r**4 + 0*r. Find m, given that w(m) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1455 divided by -5?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -3*sqrt(192)*-1.\nAnswer: 5 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -4. Suppose -12 = q + c*q. Let s = -1 - q. Put 0.5, 1\/10, s in descending order.\nAnswer: s, 0.5, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/9, -8.1, -3, -819, 3\/4?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -161*z**2 + 87*z**2 + 100*z**2. Let v(k) = 12*k. Determine v(u(w)).\nAnswer: 312*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/(-1))\/((-2)\/(-3)))\/(-864*744\/1571328)?\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*w + 7*w - 2995 + 2729 = -9608 for w.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + 9*p**2 - 24*p - 19. Let o be j(-11). Solve o*u = u + 2, -4*z = -3*u - 13 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21421 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k. Let h(i) = 1 - 37*i + 7 - 8. Calculate m(h(t)).\nAnswer: 37*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 17*g**2 + 43*g - 2044. What are the prime factors of q(31)?\nAnswer: 2, 13, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 1:08 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 440462 - 440278.983. Let p = 3.283 + v. Round p to the nearest 10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*j - 157 = l, 5*l + 12*j = 11*j - 11 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/5 + 2*r - 9\/5.\nAnswer: -(r - 9)*(r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -2*w**5\/11 + 103282*w**4\/11 - 1334273966*w**3\/11 + 22656018414*w**2\/11 - 41309628048*w\/11 + 19987780320\/11 = 0.\nAnswer: 1, 15, 25812","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5628536*f**2*i**2*m**2 - f**2 + 5*f*i**2*m - 400*f*i*m - 17*f*i - f*m + 2*i wrt m.\nAnswer: 11257072*f**2*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 11:27 AM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(726) + sqrt(726))\/(sqrt(288) - (sqrt(288) + (sqrt(288)*-1 - sqrt(288)) - sqrt(288))).\nAnswer: 11*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjjjjqqjqjjj. What is prob of sequence qqjq?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((56\/(-4))\/42)\/((-1)\/12). Solve -4*s = -4*q - s - 28, -4*q - 5*s + g = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 47484319 and 47?\nAnswer: 2231762993","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 5:59 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -926 take away -51?\nAnswer: -875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 992410721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -9*m + 6*m + m**3 + 0 + 3 - 11 + 2 + 5*m**2. Suppose -u = -2*g - 4*u - 13, -4*u = g + 9. Calculate a(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-1) - (-2 - -7). Let b = 15 - 8. Let a = b - 4. Let w(s) = 4*s + 2. Let j(t) = 5*t + 2. Calculate a*j(f) + z*w(f).\nAnswer: -f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.2 + -1. Let z = -7.7 - -8. Which is the closest to 1? (a) o (b) 0 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-5))\/(5120\/4800).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**3 + 21*f**2 - 5*f - 5. Calculate q(10).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8554158?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 3*h - 3*h)*(22*h + 27*h - 48*h + 8) - h**2 + 0*h**2 + 3*h**2.\nAnswer: 3*h**2 + 8*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -152\/3 - 1\/3*d**2 - 51*d.\nAnswer: -(d + 1)*(d + 152)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.359, -43, -0.05?\nAnswer: 0.359","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3098*u**2. Let r(i) = 489*i**2 - 2. Calculate r(y(n)).\nAnswer: 4693228356*n**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1531832 and 1168.\nAnswer: 3063664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i**2 - 3082*i - 361390. What is q(-135)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 24 = -9. Suppose 2*b - 3*p = 6*b - 5228, -b + 1292 = -n*p. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.04, 4, -25, 0.898?\nAnswer: 0.898","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 14*g - 39. Let t be o(4). Let k = 152 - t. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 99 = 4*g, -g + 46331 - 46331 = 0 for w.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*t = -15, -3*z = 7*t - 11*t - 95. Solve 5*l = 5 - z for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 78356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.44066 - -9714.14?\nAnswer: 9715.58066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 90091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.76 + 0.86. Which is bigger: p or -46\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 37 + 60)*(-24*h - 6 + 0 + 7) to c*h + q and give c.\nAnswer: -2232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, n: 5, u: 8}. Give prob of picking 2 n and 2 l.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 l when four letters picked without replacement from wlywwppppl?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -60056605 divided by -2?\nAnswer: 60056605\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -605*s - 293*s - 85*s.\nAnswer: -983*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 99\/96*(-870)\/9. Let n be 2\/((-1195)\/(-401) + -3). Let d = n - x. Calculate the common denominator of -17\/2 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7c1 (base 13) to base 6\nAnswer: -10112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2. Let w(s) = 4*s**3 - 8*s**2 + 4*s - 1. Let b(d) = -w(d) - 5*z(d). Let j(p) = -7*p**3 + 5*p**2 - 7*p + 1. Calculate -5*b(q) + 3*j(q).\nAnswer: -q**3 - q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.121216767 rounded to four dps?\nAnswer: -9.1212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12420 and 84?\nAnswer: 86940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -2 - 2 - (3 - -3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 431 - 1024. Let l = -400 - s. Is l not equal to 191?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0046759551 rounded to 4 dps?\nAnswer: -0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -12*g**2. Let u(w) be the third derivative of w**4\/12 + 2*w**2 - 4. Give u(h(d)).\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k, 1 t, and 1 p when four letters picked without replacement from {p: 3, t: 2, c: 1, q: 1, j: 7, k: 4}.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -j - 5, 7*j = -5*s + 11*j + 6. Let z(r) = r**2 - 12*r + 22. Let y be z(s). Solve -i = -4*t + 2*i - 19, -2*i = y*t - 8 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1473 is divided by 40?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -6.6 (b) -6 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3461.\nAnswer: 3461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a factor of 11712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 - 3 + 4 - 2 - f. Suppose t = 6*t. Suppose -4*h + 12 + t = 0. Let s(n) = -2*n**2 - 3*n - 5. What is h*u(z) - s(z)?\nAnswer: -z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 3)*(-w**3 - 2*w**2 - w**2 - w**5 + 0*w**3).\nAnswer: w**5 + w**3 + 3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101994749?\nAnswer: 101, 167, 6047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 35 and 1800.\nAnswer: 12600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 4*i**3 - i**2 + 1. Suppose -3*g + 8 = 5*g. Let j be m(g). What is the remainder when j*36\/16 - (-3)\/1 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1001233 - -1110210?\nAnswer: 102311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 1 - (16 - 17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2679884 a multiple of 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 33 = 2*l, -k + 3*l + 17 + 0 = 0. Suppose -3*u - 32 = -4*o, -3*o - 2*u + 4 = -20. Solve 2*r = -5*g - k, -r - 4*g - o = -1 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 5*k + 8, 9 = 5*p - 2*k - 2*k. Suppose -p = 3*u - 16. Suppose 4*o + r - 4 = 0, 0 = -5*o + 2*r - 7*r + 5. Solve 0 = -v, -1 = 2*q - u*v + o for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of -o**6\/120 + o**4\/24 + 31*o**3\/3 - 13*o**2. List the prime factors of p(0).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 861f + -14d6?\nAnswer: 7149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 296 divide 30233707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a + 2. What is the units digit of w(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -268 = -3*s - 2*t + 189, 0 = -4*s + 4*t + 616. Find the third derivative of -99*a**3 - s*a**3 - 36*a**2 + 218*a**3 wrt a.\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3705, -3720, -3709, -3660, -3561, -3400, -3165, -2844?\nAnswer: -2425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10268 + 533831\/52. Calculate the common denominator of m and 38\/91.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + -1 + sqrt(252) - (1*sqrt(448) + sqrt(7)))**2 + 2*sqrt(28) + sqrt(112).\nAnswer: 2*sqrt(7) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45444107?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = s - 342, 0 = -r + 2*s + 2*s + 94. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -633296, 3, 5, -3, 0, -4 in increasing order.\nAnswer: -633296, -4, -3, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -186*a - 212*a - 68*a**2 + 634*a - 92*a**2 wrt a?\nAnswer: -320","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = f - 30025, -5*f + 124798 = -h - 25300. What are the prime factors of f?\nAnswer: 11, 2729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -7*u + 2. Let o be n(-6). Let h(b) = b**2 + 10. Let r be h(0). Suppose 2*g + 2 - r = 0. Calculate the greatest common factor of g and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -s + 31*q - 28*q, -3*q = s - 17. Solve s*u = -15, 5*u + 5 = 2*x - 0*u for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*34.98\nAnswer: -13.992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of -2*b**3\/3 + b**2 + 3*b + 1. Let v = -336 + 334. Give p(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - 13*f**2 - 10*f + 8. Let k be v(-12). Is (-4236)\/k + (-2)\/(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, b: 2, m: 2, v: 1, t: 1, l: 1}. Give prob of sequence vbob.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 AM and 3:49 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -4*y**2 - 13*y + 234*y + 3*y**3 - 114*y - 111*y + y**3. Let a(c) = -c**2. Determine 4*a(i) - n(i).\nAnswer: -4*i**3 + 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 q when two letters picked without replacement from xqr.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.19 in -3, 0.08, -1, 73.018?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*d**3 + 2335514*d**2 - 7117949*d + 333654 = 0.\nAnswer: -111218, 1\/21, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 708048 and 2376.\nAnswer: 708048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 948*n + 50493. What is y(-52)?\nAnswer: 1197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -1. What is the remainder when 33 is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -354351015 by 9.\nAnswer: -39372335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 150198000 to the nearest 1000000.\nAnswer: 150000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/3 + 121*f**2\/3 - 1219*f + 8085.\nAnswer: (f - 15)*(f - 11)*(f + 147)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of 12*d**5\/5 + 13*d**3\/3 + 15. What is the third derivative of b(c) wrt c?\nAnswer: 288*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w**3\/9 - 1100*w**2\/9 + 148207*w\/9 - 49036\/3 = 0. What is w?\nAnswer: 1, 156, 943","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.381 and -5.\nAnswer: -4.619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 122*q - 123*q. Solve -2*d - 1 = q for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 19 + (-2 - 5) - 8\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24909.000021482 - 24909. Round g to 7 decimal places.\nAnswer: 0.0000215","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9\/4 in 6, -15, -10, 5\/34?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4*b + 0*b = 16, 3*b + 9 = n. Suppose -n*v = 20 - 50. Suppose -6*w = -v*w. Solve w = 4*i - 9 - 7 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 1\/4, -1\/5 in increasing order.\nAnswer: -1\/5, 1\/4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14137 - 24\/(-10)*20\/8 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - -11. Suppose 0 = j + 5*u - y, -j - 4*j = 2*u - 52. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 + -37 - -14) + 17 + -112 + -17.\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-274770)\/(-56115)*58\/(-4).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 3\/2. Let a = 161\/204 - 2\/51. Are s and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nw when two letters picked without replacement from ycfgfcncwcfcnnw?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 0.030707281?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2170*y + 4576. What is the units digit of c(13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 976644 at most 977617?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1477, 5868, 13159, 23350, 36441, 52432, 71323?\n\"Answer: 1450*z**2 + 41*z - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1898848\/(-560))\/173)\/((-1)\/(-10)*-7)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in years?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5335, 5334, 5333, 5332?\nAnswer: 5331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*z**3 - 1033*z + 3373*z + 13*z**3 - 1031*z - 1309*z.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/v**(5\/8)))**(-3\/2))**(-27) assuming v is positive.\nAnswer: v**(405\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 31 = 5*u - 4*j, 3*j = u + 15. Which is the closest to 0.1? (a) 2\/3 (b) 3 (c) u (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p + 0*p + 2*p)*(4*p + 0*p - p)*(2 + 2 - 5)*(-p**2 - p**2 + 3*p**2).\nAnswer: 6*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 3*b - 1406, -4*b - 83 = -59. Is w a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2279023 and 87.\nAnswer: 6837069","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14 + 869 - 2\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.176 - -811.176. Let a = l + -805. What is the third biggest value in a, 1\/4, -220\/3?\nAnswer: -220\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35\/12, -2\/3, -5, 2, 6788 in increasing order.\nAnswer: -5, -35\/12, -2\/3, 2, 6788","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -733228302 by 692378.\nAnswer: -1059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1416 = -45*m + 222*m for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1)*c*c)**(-15\/8)\/(c**(4\/7)*c*(c*c*((c*c**18\/c*c)\/c)\/c*c)\/c*c*c) assuming c is positive.\nAnswer: c**(-1369\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 4:27 AM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, 2, 6 in ascending order.\nAnswer: -27, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 - -20. Let y = 2 + -2.2. What is the closest to u in y, -3, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -7*a. Let v(w) = 2*w - 6. Calculate v(s(o)).\nAnswer: -14*o - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -2. Is 12*(k\/(-8) + 2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42.8 - -0.2. Let w = 440.5 + -398. Let n = w - d. Which is the smallest value? (a) -5 (b) 5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -5*a**4\/4 + 7*a**3\/3 + 6*a + 39. Let i be w(5). Let x = -200 - i. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -102662255*0.4.\nAnswer: -41064902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4937 and -2.\nAnswer: -4939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tcofifffsoifo. What is prob of sequence tiff?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -1 - (117 + (9 - (-33 + 68)))?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 153 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1562*c - 1555*c - 455 = 0. Calculate the greatest common factor of c and 611.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 11*v = 195. Differentiate 56 - v + 49 + 32*z + 108*z wrt z.\nAnswer: 140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - -1) + -6 - 5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -105.2748842.\nAnswer: -110.2748842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 225420 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -12053.1 rounded to the nearest 10?\nAnswer: -12050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.4 - -8.5. Let j = 22 + -36. Let s = j + 18. What is the closest to s in n, -4, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2128014 + 14601734 = 2*t - 30*t. Round t to the nearest 1000.\nAnswer: -445000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2831 + 2833. Let l = -7 + 10. Suppose a*g - 596 = m, 2*m + 880 = 3*g - l*m. Is g a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -4*n**2 + 7*n + 1. Suppose 146 = 158*i + 462. Let q(r) = 5*r**2 - 8*r - 1. Calculate i*q(l) - 3*d(l).\nAnswer: 2*l**2 - 5*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -147, -310, -515, -762?\nAnswer: -1051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by 30?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -4\/9 (b) -0.4 (c) -1.2 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of 1\/70*i**5 - 4\/21*i**3 - 1\/735*i**7 - 1\/21*i**4 + 0*i + 1\/210*i**6 - 9*i**2 + 0. Factor f(b).\nAnswer: -2*(b - 2)**2*(b + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144)*3)\/((sqrt(120) + -4*sqrt(120) - sqrt(120))\/sqrt(10)))**2.\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.09, 1\/3, 0.3, 0.7, -3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*(-2)\/(-30))\/((-7)\/(525\/15)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7065 = 92*a + 212*a - 836 - 307 for a.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 9 + 15. Let o be p\/(-21) + (-92)\/(-28). Calculate the remainder when (o + 14\/(-4))*-26 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 101 + -92. Let x = c + -9. Let a = -0.0292 + x. What is a rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i - 751 + 751.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bppnnppbpnpppnbbcb. Give prob of sequence pb.\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-28 + -226)\/(-1 - 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16088 - 16070. Solve 5*a + 1 = 3*d, -24 + u = 2*d for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13 - -36?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of 5\/48*z**4 + 5\/6*z**3 + 5*z**2 - 1\/24*z**5 + 0 + 0*z. Suppose f(s) = 0. What is s?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*h + 42*h + 60 = 0. Solve -h*q = -2*q + 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10212634?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -291633, -291660, -291687, -291714?\n\"Answer: -27*p - 291606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*i**2*n**2*s**3 - 544*i**2*n**2*s**2 + 2199*i*n**2*s - s**3 wrt i?\nAnswer: -14*n**2*s**3 - 1088*n**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4\/7 (b) 0.4 (c) 0 (d) 1\/2 (e) 3.42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6528 and 23936?\nAnswer: 71808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54506051?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18160 = -578*r + 3872 - 18658 for r.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -7*p**2 - 12*p - 19. Let n(q) = -4*q**2 - 6*q - 9. Let b(a) = 2*f(a) - 5*n(a). What is the tens digit of b(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 0. Let k(m) = -m + 1. Let g be k(-7). Let i = g + p. Calculate the remainder when i is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**3 + 12*l**3 + 18*l**3.\nAnswer: 32*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1043490036?\nAnswer: 2, 3, 23, 457, 8273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 23388092 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + 318\/(-24))\/(((-129)\/8)\/43)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(700) + sqrt(700)*3 + -2)*-1*-3 + 2.\nAnswer: -480*sqrt(7) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 22 - ((-6)\/4 - 7\/(-2)). Let z be -2 + s\/4 + 0. Let d(f) be the second derivative of 4*f**3\/3 + 2*f**2 + 16*f. What is d(z)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 13*m**2 - 4*m + 5. Let x be s(1). Let a(n) = 1200003*n - 18. Let k be a(6). Suppose x*p + k = 16*p. Round p to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83179 is divided by 3616.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rcrbsrrsrrccb. What is prob of picking 1 s, 1 r, and 1 b?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 423, 847, 1271?\nAnswer: 1695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -c**6\/120 - 4*c**5\/15 - 2*c**4\/3 + 3*c**3\/2 + 154*c**2. What is the lowest common multiple of w(-15) and 42?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -11943, -24297, -36651, -49005, -61359, -73713?\n\"Answer: -12354*a + 411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 6. Suppose -8 = -5*l + 2*l + b*v, -l + 4*v + 6 = 0. Let n(o) = -o**2 + 8*o - 4. Let p be n(7). Solve 3 = -5*s + l*j - 2, -15 = -p*j for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -102 + 39. Let p = -44 - r. What are the prime factors of p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1600816 and 4.\nAnswer: 1600816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of 0*d + 0*d**2 + 1\/3*d**3 + 5 - 5\/4*d**4. Find the third derivative of a(w) wrt w.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27409 * 1.\nAnswer: -27409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/(-99)*1\/(-4)*6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3476.01 rounded to the nearest one hundred?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-527)\/255 - 68\/(-255).\nAnswer: -29\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d**3 + 12*d**4 + 6088*d - 6089*d + 0*d**3 in the form p*d + b*d**3 + k + w*d**4 + c*d**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1386629 - -0.13806. Round n to five dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16627619201 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 5*n = -516, 47*j - 4*n = 50*j - 1567. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.8 + -0.4. Let r = -0.2 - b. Let g = -1.5 + 1.4. What is the closest to -2\/3 in g, r, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + -27 - (13 + 3 + -20)) + 11\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -141*s + 1414. Determine v(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r**3 + 11726791 - 11726791.\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 75105456829 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/5 and -5801\/89 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**3 - 544*o**2 + 5290*o - 13100 = 0. Calculate o.\nAnswer: 5, 262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -142, -280, -416, -550?\n\"Answer: h**2 - 141*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddssbsddddddadxxadd. What is prob of sequence xs?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**2 - 9505*w + 254*w**4 + 9505*w - 3*w**4 + 0*w**4 + 4*w**4 + (w - 3*w + 0*w)*(-1 + 3*w**3 + 1).\nAnswer: 249*w**4 + w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 7:15 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 1\/(-11) + 277146\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27 - (-16 + 11 + -3)) + (68 - -23)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -5*u - 5 + 3 + 3*u**2 + u**3 - 4 + 1. Let p be n(-4). Let r = 3.94 - -0.06. What is the closest to -0.1 in -3, r, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 346493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/5)\/((-37)\/((-1114440)\/48)). Calculate the greatest common factor of w and 20833.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12360, 12448, 12536, 12624, 12712, 12800?\nAnswer: 12888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 164 + -260. Let c = 96.263 + n. What is c rounded to two dps?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3 - 3*y - 5 + 7 - 6*y**2 + 8. Let v(p) = -4*p**2 + 3*p**2 + 1 + 0. Let m be 6 - (-434)\/(-31) - -13. What is m*v(g) - h(g)?\nAnswer: g**2 + 3*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*i = -45*i + 1111 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssquqquqwsfussn. Give prob of sequence qwn.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 5*g = -280, 0 = 3*g - 1 + 4. Calculate the greatest common divisor of 410 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -18 - -5?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-4))\/(w\/w**(-3))*w**(-10\/3)*w**13*w assuming w is positive.\nAnswer: w**(35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -244, -414, -584?\n\"Answer: -170*f - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - 245961812\nAnswer: -245961812.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (52 + -53)*(-10)\/2. Let r(l) = -5*l**2 - 6. Let w(a) = -6*a**2 - 5. What is t*r(d) - 6*w(d)?\nAnswer: 11*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y. Let l be q(0). Suppose -12 = z - 4*x, -4*x = -8 - l. Let s(f) be the second derivative of f**4\/12 + f**3 + 5*f**2\/2 + 3*f. Calculate s(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12*5\/(13 + -3). Suppose -h = -2*u - 4*h + 3, -u - q = 3*h. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 699 - 528. Suppose 100*b = 91*b + l. Solve -3*i - 2*i - m = b, -2*m = 4*i + 20 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = -2*z - 2*z + 1, 0 = -3*z + i - 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 510297088 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 3, -12, 698, -50.\nAnswer: -50, -12, -1, 2, 3, 698","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*5\/(-15)*225\/6?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 29 - 28989*g - 2*g**2 + 19 + 14495*g + 10 + 14499*g. Give u(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 4*h**2 + 5*h. Let t = 10 + -5. Let w be x(t). Let u be -20999 + w + 2 + -3. Round u to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z + 5. Let x be (-2)\/(((-3)\/(-60))\/(8\/(-10))). Suppose 6*q - 2*q = 16. Suppose -x = -5*d + 3*c, c - 3*c - q = d. Determine v(d).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s + 12. Let y be a(-8). Let u = y - 0. Suppose 0 = -u*q - 3*d + 95, -5*d - 12 = -d. Calculate the least common multiple of q and 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2909.81 - -2909. Let p = 35.1 + -37. Let w = t - p. Round w to one decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 5, 0, -0.5, 57?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {n: 2, t: 9, b: 1, i: 4}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 239, 479, 719?\n\"Answer: 240*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -16, -5, 1, -8 in ascending order.\nAnswer: -16, -8, -5, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5 - -6)\/((-5)\/(-4210)) + -1.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-320)\/60 - (-6 - 0). Is u less than or equal to -8\/179?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 435802 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.042 - 59.042. Let u = 58.966 + t. Let r = 2.034 + u. Sort -3\/8, r, -2 in increasing order.\nAnswer: -2, -3\/8, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10830*h - 15*h**3 - 26*h**2 - 10830*h.\nAnswer: -15*h**3 - 26*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 212, 455, 698, 941?\n\"Answer: 243*s - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 643 + -354. Let n = s + -293.34. Let l = 0.34 + n. Which is the third biggest value? (a) l (b) 5\/2 (c) 0.4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 695 - 177 - 178 - 777*u - 167 - 173.\nAnswer: -777*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -370.93 + 367.93. Let n(s) = s - 10. Let j be n(6). What is the third biggest value in 0, j, -6, g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9867 and 1242.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5703, -11293, -16905, -22539, -28195?\n\"Answer: -11*w**2 - 5557*w - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 24642 (base 9) to base 5\nAnswer: 1012222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1284 + -1284. Let h(p) = -2*p + 4. Let i be h(4). Put m, 7, i in ascending order.\nAnswer: i, m, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 779\/(-57) + 4\/((-12)\/7).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 4766 + 4434 = 0. Is 23 a factor of (-8)\/(-10)*k\/(-32)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7\/(-35) - 22\/(-10). What is the second biggest value in -2\/7, z, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 127079*r**4 - 15*r**3 + 113*r**2 + 48645.\nAnswer: 3049896*r - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 476262*q - 77970*q - 345595*q.\nAnswer: -899827*q + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o + 22*o - 14 - 46*o.\nAnswer: -21*o - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-3*(-3)\/12). Suppose 0 = -y*v + 259 + 153. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**3*t**3 - 433*d**3*t**2 + 564*d**3*t - 9*d**2*t - 95766*t**3 wrt d.\nAnswer: 6*t**3 - 2598*t**2 + 3384*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -36? (a) 0.2 (b) -14 (c) -22 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.5 and 4792950.51427.\nAnswer: 4792951.01427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 648 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 503600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*u - 412 = 238 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3493121 is divided by 84.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-2)*1 - (-40 + 42). Factor -2\/3*j + 1\/3 + 1\/3*j**z.\nAnswer: (j - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21 - u**4 - 21 + (13*u**3 - 4*u**3 + u**3)*(-u - 2*u + 2*u).\nAnswer: -11*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 2*c = 42 - 35, -p + 13*c - 25 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 129 and 166679.\nAnswer: 21501591","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 20013998?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1946 - 0.8054. Let n = -2.2 + 2. Let d = 0.02 + 0.08. Which is the nearest to d? (a) n (b) k (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -106582, -213162, -319734, -426298?\nAnswer: -532854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/3 (b) 1\/7 (c) -7\/442 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6316 + -4200. Is r a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 86 = -2*t - i, 0 = -4*t - 4*i + 148. Suppose q = -q + 5*g + 25, 3*q - t = 5*g. Does 13 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 536.289mg to grams.\nAnswer: 0.536289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 5*i**2 - 6*i + 10. Let p be f(4). Suppose -2*d = p*m - 9 - 3, 5*m - 22 = 3*d. Find the first derivative of 0 + m + 5*v**4 + v**4 - 2 wrt v.\nAnswer: 24*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4646 and 9699434?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/11398398 and 25\/41794126?\nAnswer: 125382378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 488902*d - 16133759. Determine h(33).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 139*p + 3*p. Solve 0 = 5*c - 5*q + 5, -25*q + 21*q - 8 = p for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 - 20. Which is the nearest to 2\/9? (a) j (b) -5 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115884?\nAnswer: 2, 3, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 510, 516, 524, 534, 546?\n\"Answer: q**2 + 3*q + 506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 + -28. Let n = -2\/17 - -31\/119. What is the nearest to -0.3 in n, -5, g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1262704510?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 9*y**2 - 18*y - 264. What are the prime factors of h(20)?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -6*r - 1. Let g be j(-4). Suppose 0 = -5*o + 20, -3*w + 3*o + g = -o. Differentiate 2 + 2*b**4 - w*b**4 - 4*b**4 - 3*b**4 with respect to b.\nAnswer: -72*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is v in -32\/7 - 2\/7*v**2 + 48\/7*v - 12\/7*v**3 - 2\/7*v**4 = 0?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 3678 = -3*q, -1958 - 490 = -2*q - 3*j. Let v = -589 + q. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 630\/(-324)*2\/((-14)\/3).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-20)\/(-6) + 10\/15. Suppose -b + 2*b = 1, -4*b - a = -4*r. Factor 2 + 0 - 2*f**3 - 2*f - 4*f**r - 2.\nAnswer: -2*f*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 6*p**2 + 72*p. Let l be y(6). Let g = 4 - 6. Let u = 2 - g. Which is the closest to 1? (a) l (b) 4\/7 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 6*z**3 - 2*z - 2. Let m(o) = 25*o**3 - 9*o - 9. Determine 9*a(l) - 2*m(l).\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -5, 4, 54, 5, 8 in ascending order.\nAnswer: -5, 1\/5, 4, 5, 8, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 - 2*k + 1. Let o(j) = -3*j**2 - 21. Let t(l) = o(l) + 6*y(l). Factor t(r).\nAnswer: 3*(r - 5)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 5*p - 1)*(-2*p + p + 0*p).\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -5*u - 6. Let k(c) = -2 - 11*c - 4*c - 3 + 10*c. Calculate -5*f(s) + 6*k(s).\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -31 - (6 - (-4 + 7 + 9))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) -0.5 (b) -0.4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/8 - 11\/(-4). Let m(p) = -1 - p**3 + 2*p**2 - j + 2*p + 0*p**3. Let l be m(-3). What is the greatest common factor of 7 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a century in months?\nAnswer: 6240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**4 - h**3 + h**2 + h + 1. Let q(f) = -3*f**4 + f**3 + f**2 - f - 1. Let m(k) = c(k) + q(k). Find the third derivative of m(j) wrt j.\nAnswer: -48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*z = -15. Let h(t) = -9*t + 4 + t**2 + 4*t + 0. Let l be h(z). Solve -5*c - 3*j - 30 = 2*j, -j = -l*c - 19 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2d (base 14) in base 4?\nAnswer: -221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - (0 + 3 - 4). Suppose l*f + 5*k = -20, 2*k - 4*k = -f + 8. Solve f*s - 4*n = -4*s - 36, -s = -2*n + 13 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of -388*m**5\/5 - 572*m - 413. What is the first derivative of g(v) wrt v?\nAnswer: -1552*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1581898 or -1581899?\nAnswer: -1581898","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5203185644?\nAnswer: 2, 19, 68462969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010001001001 + 10?\nAnswer: -1010001000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-85*x**3 - 35*x**3 + 31*x**3)*(0*x - 2*x + 4*x + (1 + 1 - 1)*(-x + 3*x - x) + 0*x + 0*x - 2*x) to b*x**4 + a*x + i*x**2 + c + s*x**3 and give b.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 - 26 - (8 + 15).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 579 and 11.\nAnswer: 6369","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**2 + 5*j + 1. Let i be l(-3). Let f = 1 + i. Put 2, 4\/9, f in descending order.\nAnswer: f, 2, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - p + 4)*(7*p**4 - 4*p**4 + p**4) - 2*p**5 - p**5 + p**5.\nAnswer: -6*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*3*(-3)\/(-18).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + (-15)\/(20\/4). Let s be ((-18)\/5 + 3)\/(v\/(-10)). Let g(y) = y**3 + 2*y**2 - 3*y + 3. Let q be g(s). Sort q, -5, -4, 1.\nAnswer: -5, -4, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, y: 1, h: 1, c: 1, n: 1}. What is prob of sequence cy?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*d + 122*d = -49 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 10*x**2 - 20*x - 41. Give h(12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2615892935 and 1.2?\nAnswer: 2615892936.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 573*f - 522*f = 43452. List the prime factors of f.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5*m - 13 = h, 5*h - 11 = 2*m. Let o = -83\/3 + 28. Which is smaller: o or h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3a21838 (base 11) to base 4\nAnswer: 122202130033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 bigger than 45802\/10173?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*d**2\/5 + 146*d + 698\/5 = 0. Calculate d.\nAnswer: -349\/16, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -4*j - 5*r - 8, j = -4*r - 14. Let h(z) = 4*z + 3. Let l(x) = -x. Determine j*l(w) + h(w).\nAnswer: 2*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 975803860?\nAnswer: 2, 5, 48790193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2816 by -1230.\nAnswer: -1408\/615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2 - -3) + -1)\/1. Suppose -m + 5*m - 24 = p. Suppose m*r - 48 = r + 2*f, 36 = 2*r - 5*f. What is the smallest common multiple of 2 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 275*y**3 + 277*y**3 - 553*y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60, 7.3, -4, 0 in ascending order.\nAnswer: -60, -4, 0, 7.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 61*d**2 - 202*d - 20655. What is k(-63)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 p when two letters picked without replacement from {b: 1, x: 1, p: 2, h: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*r**2 + 733 - 22*r**2 - 14*r**2 + 1342 to the form q*r + o*r**2 + y and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -32?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*v**5 + 4*v**2 + v**5 - 12*v**2 wrt v?\nAnswer: 300*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108686695\/2 bigger than 54343347?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/11 + 40*b**2\/11.\nAnswer: -b**2*(b - 40)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4946960, -4947179, -4947398, -4947617?\n\"Answer: -219*y - 4946741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-10)*(-55 - -10). Let t be 120\/(-36)*q\/(-10). Suppose 3*l = -t, -86 + 16 = -2*g + l. Calculate the remainder when g is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 9\/6*70\/21.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(1\/4))**(-38)\/(((c*c**(9\/2)*c)\/c)\/((c\/(c*c\/c**10))\/c)) assuming c is positive.\nAnswer: c**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010000110001010000 + 10111?\nAnswer: -1010000110000111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -43 + 42.58. Let r = 0.4656 + w. Round r to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1629580 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4*-2*164560\/(-24200)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 282 in 1044900, -0.2, -3\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.8 * 3.5.\nAnswer: -20.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 76*r**2 - 566*r + 250. Determine p(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/3 - 18969*o - 56904.\nAnswer: -(o + 3)*(o + 56904)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 604657?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 5*z - 12. What is the greatest common factor of z and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 413?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of n**4\/4 - 8*n**3\/3 + 4*n - 11. Let i be q(8). Let l be 6 + 3*i\/3. What is the highest common factor of l and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/20)\/(-13)*(-1)\/2?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 123097 - 4801259\/39. Let s = 51\/26 - h. Calculate the common denominator of (36*1628\/2997)\/(10\/(-3)) and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -13*m + 9. Let u(h) = 38*h - 28. Let y(p) = 4*u(p) + 11*z(p). Let q be y(5). Let j = q + -26. Calculate the greatest common factor of j and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 653*u**2 + 18*u + 44. Is j(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 0)*(-1)\/((-24)\/(-2)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of -11*k**4\/6 - 17*k**3 + 16*k**2. Does 50 divide w(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 47*j + 1 + 9*j**2 - 2 + 13*j**2 - 10*j**2. Is f(-7) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-168)\/63)\/((-8)\/1866) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 0*h**2 - 2*h**3 + h + 3*h**3 - 6*h**2 + 6. Let x be d(6). What is the tens digit of 21*4*2\/x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 56 + 2. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(78)*4)\/sqrt(6).\nAnswer: -20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1053335 to the nearest one thousand.\nAnswer: 1053000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15288639.\nAnswer: 3, 5096213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.013 + 5. Let m = 0.383 + s. Let q = -0.57 + m. Which is the biggest value? (a) -2 (b) 1\/3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/45 and (-22695)\/(-28350) - 14\/49.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 223, -26 in ascending order.\nAnswer: -26, 2, 223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1556038 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 8*y**2 + 4*y + 48. Let n be ((-160)\/100)\/(2\/(10*1)). Is z(n) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 94145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 5*q = 8 - 23, -5*x + 3*q = -25 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -1. Let q be (6 - -2) + (-9)\/m. Solve -5*j + 25 = i + 7, 5*i = q*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - 2c3?\nAnswer: -2c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 9:20 AM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -117 - -112. Is (-4 - r) + 860 - 4\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92238?\nAnswer: 2, 3, 15373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -7\/8 (b) -1 (c) -2\/9 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a = -2379 - 1061. What is the remainder when a is divided by 52?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88454*t + 88446*t - 353762*t + 88414*t + 88448*t - 2*t**3.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**2 - 43*b + 199. Let t be g(7). Let n(q) = -31*q - 120. Let m be n(t). Solve -2*j = 2*j - m for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -144 + -6170167?\nAnswer: -6170322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2739*a - 3*a**2 + 2739*a to the form m + z*a + l*a**2 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2827 + 4*x + 23 - 3*x - 2826.\nAnswer: x - 5630","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10901*k - 113 = -10884*k + 91 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 + 1008\/(-96))\/((-6)\/4) - 7. Solve 2*r**2 + 2\/3*r**3 + 0*r - p = 0 for r.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rarrrorroraa. Give prob of picking 1 o, 1 r, and 1 a.\nAnswer: 21\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + 5*i**2 - i + 5. Let u be z(5). Suppose -4*w - w = -4*o + 232, u = o + w - 49. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*t - 20*t + 70. Let j = -0.4 + 0.3. Let y = j - 0. What is the nearest to -1 in 2\/3, y, t?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/7)*i**(-5)*i)**(-12\/7))**(-1\/9) assuming i is positive.\nAnswer: i**(-104\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 530? (a) 3 (b) 5 (c) 2\/153\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 37949762 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 6*o**2 - 56*o + 209. Let s be n(40). Suppose 24*z - s = 927. Calculate the smallest common multiple of z and 5.\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 4160, -2 in increasing order.\nAnswer: -2, 1, 3, 4160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 64 - 1. Let u = 253\/4 - l. What is the smallest value in 5, u, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*a**2 - 11*a**2 - 12*a**2 + (-2*a - 2*a + 6*a)*(-2*a + 0*a + a) to b*a + k*a**2 + x and give k.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 3, -5, 27 in ascending order.\nAnswer: -5, 3, 7, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 + 6 - (-206770)\/1860?\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77343, 154695, 232061, 309423, 386763, 464063?\nAnswer: 541305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 33.70931ns?\nAnswer: 0.03370931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -106.9 rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 26098*y**2 + 156*y + 455. Let b(z) = -4349*z**2 - 26*z - 76. Let p(n) = 25*b(n) + 4*q(n). What is the second derivative of p(d) wrt d?\nAnswer: -8666","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 678 + -453. Suppose -9*g = -b - 432. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/8*(-744)\/(-31)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1173 - -26795?\nAnswer: 27968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*(-9)\/(-6)*-7. Let n = u - -36. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 7 + 11 = 0. Let i(d) = -d**3 + d**2 + 7*d + 1. Let b be i(3). Calculate the remainder when 1\/(q\/b) - -83 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 810*j**3 + 485 wrt j?\nAnswer: 2430*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, s: 16, r: 1}. What is prob of picking 3 m?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3207 divided by -1512?\nAnswer: 1069\/504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*n - 3*n - 10*n + 8*n in the form m + g*n and give g.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 10 - 30. Suppose 12 = -0*z + q*z. Find the second derivative of -j + j**z + 3*j**3 + 2*j**3 - 4*j wrt j.\nAnswer: 36*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/4 of a millimeter?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 5*q - 4*u, 4*q + 3*u = 22. Suppose -467 = -x - 4*w - w, q*w = -x + 465. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50086?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (81\/12 - 6)\/((-2)\/(-8)). Suppose -90 = z*t - 108. Solve -5*y - 3 = -t*p + 2*p, 4*p - 10 = -2*y for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 770789?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 101853 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 45895*b + 1150. Let f be z(-2). Round f to the nearest one thousand.\nAnswer: -91000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.057187 and 2778392.\nAnswer: 2778391.942813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, m: 2, a: 2, y: 1, v: 1}. What is prob of picking 1 v and 2 r?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18148453 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-6))\/((-10)\/240). Suppose 9 = 2*t + 3. Let d(o) = -2*o**2 - 2*o - 2. Let l(y) = y**2 + y + 1. Give r*l(w) + t*d(w).\nAnswer: 2*w**2 + 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -w**5\/20 - w**4\/2 - w**3\/3 + 9*w**2\/2 + 22*w. Let v be d(-5). Let l(y) = y + 6. Determine l(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 88337.61*-10\nAnswer: -883376.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000429261 rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 279426.199889979 + -278941.199889. Let b = r + -485. Round b to seven decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*z = -2*z + 20, -21 = -3*r - 3*z. Suppose 6 = 9*m - 6*m. Suppose -5*j - m*j + 140 = 0. Solve -r*p - 5*i + j = 0, 4*i = 3*p - 19 - 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 10:13 AM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 + p - 3. Determine o(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/((-6)\/(-8)))\/(8\/420). Let u = 75 + x. Suppose -3*z + 3 + 18 = 0. Solve 4*p = u + z for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 680 is divided by 137.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -272.152163 rounded to zero decimal places?\nAnswer: -272","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20? (a) -0.2 (b) -2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + 3*r + 6. Let g be k(-2). Let l be 1\/(12\/404) - g\/6. Suppose 51 + l = y. Is y a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*x - 81649 = 153820. What are the prime factors of x?\nAnswer: 13, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -368 by 4.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001698966 to 7 dps.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 190195996?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -50224326.74 to the nearest one thousand.\nAnswer: -50224000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 353059?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**5 + h**4 + h**2 - 1. Let n(z) = -38*z**6 - 6*z**5 + 6*z**4 + 2*z**2 - 6. Let q(t) = n(t) - 6*v(t). What is the third derivative of q(l) wrt l?\nAnswer: -4560*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*t**2 - 1783*t + 7639 wrt t.\nAnswer: 6*t - 1783","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 4:11 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 103654658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 7:37 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**2 + 70*y - 245.\nAnswer: -5*(y - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 71092.74405 to the nearest 1000.\nAnswer: 71000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + j**2 - j + 1. Let d(c) = 4*c**3 - 8*c**2 + 3*c - 7. Give d(z) + 5*k(z).\nAnswer: -z**3 - 3*z**2 - 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 1086*g - 507*g + 1398*g + 2680*g in the form l + o*g and give o.\nAnswer: 4657","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**4 + 15679*m**3 - 156665*m**2 - 391975*m + 3917250 = 0 for m.\nAnswer: -5, 5, 10, 15669","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of u**10\/1008 - u**6\/360 - u**3\/3 + 2. Let m(r) be the third derivative of q(r). What is the third derivative of m(a) wrt a?\nAnswer: 600*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -16 + 149d?\nAnswer: 1487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 309*a*i**3 + 70*a*i**2 + 7*i**3 - 445*i wrt i?\nAnswer: 1854*a + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5300*r - 3 - 2*r**2 - 10031*r**4 + 1721*r**4 - 5554*r wrt r?\nAnswer: -199440*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-4) + (-3477)\/42 - 2. Let i = 4377\/56 + g. Calculate the common denominator of i and -3*(0 + (-94)\/18).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-2 + sqrt(637))*-5)**2.\nAnswer: -700*sqrt(13) + 16021","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1112*p**3 + 1449*p**2 - 31*p**3 - 908*p**2 + 1642*p**2 - 204*p**3 wrt p.\nAnswer: -8082","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*d - 734 = 330 for d.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2\/5 + 12*f\/5 - 288\/5.\nAnswer: 3*(f - 8)*(f + 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 8*z**2 + 10*z + 16. Let l be s(-6). Let f be l\/20*(3 - -7). Let i be f\/21*2\/(34\/(-3)). Which is bigger: 0 or i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 241608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 29 - (17 - (-11 + 24))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 8*k**2 - 4*k - 2. Suppose 0 = 3*r - u - 18, -r = -4*r - 3*u + 6. Let v(y) = -9*y**2 + 5*y + 2. Calculate r*v(w) + 6*p(w).\nAnswer: 3*w**2 + w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.9 - 1.62. What is v rounded to 2 decimal places?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (158 - 158)\/(1*-2*1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2705663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, w: 5, y: 1, j: 3}. Give prob of picking 1 f, 1 j, and 1 w.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 0*n - 6 = 0, 3*s + 5*n = 72. Suppose -2*g + s = 371. Let r = 15 - g. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.165 + -1.\nAnswer: -1.165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 149 - 149 = -2*o - 84, -4*o = -3*y + 118 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*p - 112851 = 22*p + 8*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 2*w = 2883839992, 6*w - 7*w = 4. Round n to the nearest 1000000.\nAnswer: 721000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 5*t + 32. Let f = t - 4. What is the highest common factor of 20 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 3*j - 168 = 0, 2*s + 43 - 129 = -2*j. Let n = -27 + s. Is n a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -3*g**2 - 3*g - 3. Give h(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5068 and 1884?\nAnswer: 2387028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -9*u - o, 30*u - o = 14*u + 22*u + 4*o + 94 + 7 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 351 - 506. Let k = 104 + c. Let b = 131 + k. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1362002 - 272583. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.34 + 2.66. Which is the closest to -12? (a) -2 (b) g (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2869729*g. Let d(q) = -32*q. What is d(z(s))?\nAnswer: -91831328*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c**4 - 21*c**3 - 27*c**2 - 15*c - 6. Let o(n) = n**4 + n**2 - 1. Let z(j) = 6*o(j) - s(j). Factor z(k).\nAnswer: 3*k*(k + 1)**2*(k + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 - c. Let p be d(0). Suppose -8*t - 82 = 14. Let q be 17\/4 - 3\/t*-1. Solve p*w + 2*w = -q for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 986.6 - 987. What is the nearest to 0 in a, 0.1, -2, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2758 divided by -2?\nAnswer: 1379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -97*d**2. Let s(k) = -3*k. What is s(a(t))?\nAnswer: 291*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1*-1*sqrt(1029) - sqrt(1029))\/(sqrt(243) + (sqrt(243) - (sqrt(243)*-3 + sqrt(243)))*1).\nAnswer: 7*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25.2 + 30.2. What is the smallest value in -1\/5, -0.4, 0.1, d?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -69836*f**2 + 34916*f**2 + 34932*f**2. Suppose -y - 8 = 5*c, 3*y - 4*c = -4 - 1. Let s(i) = -4*i**2. Give y*o(b) - 8*s(b).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 9771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/3 + 26053*d\/3 + 121646.\nAnswer: -(d - 26067)*(d + 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -648 and -0.005461?\nAnswer: 3.538728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4446 = -457296*d + 457179*d for d.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4108313 to the power of 1\/2, to the nearest integer?\nAnswer: 2027","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 13 + 4. Suppose -4*q - 10 = -2*f, 0 = 3*q - 2*q + 1. What is the derivative of 6*l**b - 1 + 4*l**3 + 3 - 6*l**f wrt l?\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1512 + 0 = 84*m for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**2 - 25*v + 48. Let b be n(-14). Solve -b*u + 6 = p - 5*u, 0 = 4*p + 5*u - 27 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2, 27, 54, 89, 138, 207?\n\"Answer: f**3 - 5*f**2 + 33*f - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -8*k**2. Let u(g) = -77*g**2 + 55360*g. What is u(d(i))?\nAnswer: -4928*i**4 - 442880*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12941*h - 10498*h - 10382*h - 11046*h.\nAnswer: -44867*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/15 - 22*f\/5.\nAnswer: 2*f*(f - 33)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/(-3) + 6\/9. Let j(k) = k**3 - k**2 - 47. Let q be j(0). Let m(r) = -r**3 - 47*r**2 + 9. Let y be m(q). Solve 0 = t*z + 1 - y for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.2 + 8.7. Let n = w - 71.9. Which is greater: n or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 282194 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) 0 (b) -3 (c) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 307973?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 4*w - 8, 25 = -2*v + 5*w for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -37*b + 38 - 297 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/112450 and 79\/9490?\nAnswer: 8208850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, 2, 85118 in descending order.\nAnswer: 85118, 2, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23068 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 30 or 1574370.2?\nAnswer: 1574370.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -8*m**2 - m - 6. Let s be h(3). Let d be 4\/((-9)\/(s\/6)). Let b(a) = 3*a - 8. Calculate b(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1577272*k**2 + 4540978*k wrt k?\nAnswer: -3154544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of b*h**4 - 2*b*h**3 + 68739274*b - 92356633*h wrt h?\nAnswer: 4*b*h**3 - 6*b*h**2 - 92356633","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -15411 (base 6) in base 8?\nAnswer: -4737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4*p + 248 = i, -3*i - 5*p + 371 = 0. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4087*g + 4085*g + 212 = 34*m, -4*m = 3*g - 36 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8132570714.4 take away 8.47?\nAnswer: -8132570722.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13089 + -13125. Which is the closest to 1? (a) -2\/7 (b) 2 (c) r (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 4*a - 2*a + a - 4*a. Let k(q) be the first derivative of 0*q - 11 + 0*q**2 - 14\/3*q**3. What is w(k(r))?\nAnswer: 14*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 302 at least as big as 303?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*m, 0*m - 2*m + 36 = 4*t. Suppose -12*n = -t*n + i - 86, -86 = -n + 4*i. Calculate the smallest common multiple of 18 and n.\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -4*r**5\/9 + 91120*r**4\/9 - 517284052*r**3\/9 - 18747359768*r**2\/9 + 39046207232*r\/9 - 19781654528\/9 = 0.\nAnswer: -38, 1, 11408","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -947231 (base 10) to base 6.\nAnswer: -32145155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15272?\nAnswer: 2, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)*2*-6 + sqrt(228) + sqrt(228) + sqrt(228) + (sqrt(228) - (sqrt(228)*-2 - sqrt(228)))*-4)\/(sqrt(24)\/((sqrt(10)*1)\/sqrt(5))).\nAnswer: -25*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of r**4\/8 - 2*r**3\/3 + 11*r**2. Let q be o(-4). Let b = -14 - q. Solve t - 3 = b for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*a + 3*a - 5*b + 26, -b - 4 = -4*a. Let j(u) = -2*u**2 + 3*u**a - 5*u**2. Let k(r) = 3*r**2 + r**2 - 4*r**2 - 2*r**2. Give k(j(x)).\nAnswer: -32*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 4*l - 6, 5*l - 3*l - 10 = 0. Let d = x + -5. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 39\/(-9) - -5 - (-966)\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2. Let k(s) be the second derivative of 0*s**3 - 17\/12*s**4 + 0 + 3*s + 0*s**2. Determine k(j(x)).\nAnswer: -17*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*j**3 - j**3 - 4*j**3)*(3 + 0 - 4) - 3*j**2 + j - 3733*j**3 - 3723*j**3 + 7340*j**3 - 3 to the form c + g*j**3 + t*j**2 + l*j and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v**2 + 4*v + 2. Suppose 0 = 4*o - 9*o - 20. Let k be l(o). Suppose 3*h = 4*r - 95, 4*h + k = r + 7. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40644 is divided by 230.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 276854074.\nAnswer: 2, 7, 19775291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 4 = -2*l. Let x be (-25)\/10*l*1. What are the prime factors of (0 + 4\/(-5))*x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/23191940 and 19\/40?\nAnswer: 46383880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 q when two letters picked without replacement from dqdv?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.457972ml to litres.\nAnswer: 0.000457972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -257*x**4 + 359*x - 137*x**4 - 2 - 146*x**4 + 3*x**3 - 359*x to the form g*x**2 + l*x**4 + w*x**3 + v*x + k and give l.\nAnswer: -540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 42, 9, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - (-4 - -4)) + -33. Is 1*-821*(x\/5)\/7 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -4*r**2. Let x(i) = -745 + 745 + 4*i**2. Give x(g(u)).\nAnswer: 64*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 704 and 616.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -136146*h**5 + 234028*h**2?\nAnswer: -8168760*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 93641 and 9976?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 23*v - 18. Let k be c(24). Let j(m) = 2*m**2 - 11*m + 49. Let l(z) = z**2 - 5*z + 24. Let h(y) = k*j(y) - 13*l(y). Determine h(0).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -146 + 148 + -11 + 1\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 843, 842, 841, 840?\nAnswer: 839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 697*v**2 + 1141*v**2 - 419*v**2.\nAnswer: 1419*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*q**2 + 11 - 22 + 11.\nAnswer: 41*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 315*b - 304*b - 396. Let d = 61 + -34. Calculate the smallest common multiple of b and d.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 3393072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + 19*v**2 + 21*v + 36. Let r be y(20). Solve -42*g + r = -28*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1191446834?\nAnswer: 2, 131, 4547507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eleven eighths of a gram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1472*f + 185*f - 295*f + 443*f + 890*f - 1 to the form x*f + v and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.452 times -1.2?\nAnswer: -0.5424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 798 is divided by 132.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 3*r**2 + 5*r - 5. Let i be j(4). Let y = -1 - i. Let w = y + 15. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**7\/p)**39 assuming p is positive.\nAnswer: p**234","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 512 is divided by 117.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 7533 + 1347 = 5*z, -5*z + 2*g = -8885. List the prime factors of z.\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l + 3. Let p(z) = z - 1. Determine -d(i) - 3*p(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 77, 1\/4, -2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 plus 0.9322?\nAnswer: 3.9322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33 - -34. Suppose -5*r + 25 = -3*h, 5*r + 4 = -3*h - q. Let p be -5 + 15\/5 - (h + 0). Sort 1, p, -3 in ascending order.\nAnswer: -3, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -96, -8 in decreasing order.\nAnswer: 1, 0, -8, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 5*n**3 - 37*n**2 + 24*n - 58. What is j(7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rjjj when four letters picked without replacement from jjjjrrrjrrjrr?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10332 by 84.\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = q + 5486. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 2*s + 2*s)*(2 + 1 + 0) - 3*s + 0*s + 0*s.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 475*q + 0 + 0 - 262*q to r + p*q and give p.\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + 49*x + 15. Let q be r(34). Find the common denominator of (-138)\/28*q\/(-540) and -77\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 5*x + 1, 1 = 3*m - x - 4. Suppose -m*v + 10 = -v. Let o = -3 + 6. Calculate the remainder when v is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrroroorroroaaorr. Give prob of sequence roa.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 2*f + 6. Let g be p(-3). Suppose g*i + 2*h + 2 = 0, 5 = 2*i - h + 4. Let s(c) = -c**2 - c + 24. What is the tens digit of s(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 1065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1\/2, 1\/5, 0.4, 30\/7?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 3*r**5 - 1348176*r**4 + 151448698092*r**3 + 3635432083824*r**2 + 12725465712960*r - 118761147740928 = 0?\nAnswer: -14, 4, 224708","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 329?\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 divided by -66001.\nAnswer: 19\/66001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 + -23. Let q = -12 - -22. Calculate the remainder when q is divided by 7\/3 - -2*d\/9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(2057)*-1 - sqrt(2057)) + sqrt(34)\/(sqrt(2)*1*-4))**2 - (sqrt(612) + 1 + sqrt(612) + -5 + -2 + 4).\nAnswer: -113*sqrt(17)\/2 + 134705\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*(w\/((w**6\/w)\/w*w))\/w)\/w**(-2\/7))\/(w**(-7\/6)\/w**(-2)))**(1\/2) assuming w is positive.\nAnswer: w**(-191\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*t + 45\/4*t**3 + 107\/4*t**2 + 0 + t**4.\nAnswer: t*(t + 3)*(t + 8)*(4*t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*z - l, -l = 3*z + 2*l + 3. Let d be 275\/20 + z\/8. Suppose 4*g - 2*g - 308 = 0. Calculate the highest common factor of d and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144\/(-54) - (-1)\/(-3) - -179.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 758 = -4*k, -15*k + 10*k = 4*q + 610. Let d be (q\/(-12))\/(10\/(-25)). Is d equal to -30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -138*z**4 + 465*z?\nAnswer: -1656*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 11825285\/47 and 251603 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -4, 43, 1, 3 in decreasing order.\nAnswer: 43, 23, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 806081 is divided by 1200.\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(38) + (sqrt(1368) - (sqrt(1368) + sqrt(1368)*-1)))\/(sqrt(14)\/(sqrt(35)\/sqrt(5))) + 3.\nAnswer: 3 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-20))**(1\/3))**(-35) assuming q is positive.\nAnswer: q**(700\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1089*b**4*n**2 - 820*b**3*n**3 + 4*b**2*n**3 - 35*b*n**3 - 20517*b*n wrt b?\nAnswer: -26136*b*n**2 - 4920*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 3*u**2 + 3*u + 6. Let f be p(-4). Suppose -5*y + 40 = f. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 32 + -3?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a + 1. Let l(m) = 9*m + 2. Let y(n) = -l(n) + 4*z(n). Let b(u) = -3*u + 7. Give -2*b(o) + 7*y(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-10)*y**(-2\/3)\/y*y*y*(y**(3\/5)\/y)\/(y\/y**2))**(1\/26) assuming y is positive.\nAnswer: y**(-68\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 5. Suppose 112*x - 308 = 35*x. Suppose -5*a + 9 + 36 = -4*v, -10 = v - a. Sort s, x, v in ascending order.\nAnswer: v, s, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (984\/(-84) + 10)\/(1\/(-3647)). Suppose 68*s = 56*s + q. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) - (sqrt(162) + sqrt(162)*6))\/sqrt(9).\nAnswer: -18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of -k**6\/720 - 7*k**4\/12 + 11*k**2. Let y(f) be the second derivative of p(f). Let w = 3 - 1. Give y(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29495\/13 + -2265. Let o = -3\/7360 + -7313\/18171840. Let i = o + -53489\/7407. Find the common denominator of d and i.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35038, -35026, -35000, -34954, -34882, -34778?\nAnswer: -34636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24.600498 - -24.6. What is h rounded to five dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -32*h**2 + 2*h - 3. Let j be o(2). Let q = 185 + j. Let b = -26 + q. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 136096, 136064, 136066, 136120, 136244, 136456?\n\"Answer: 3*c**3 - c**2 - 50*c + 136144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95 = 21*b - 284 + 21 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 385006 a multiple of 326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1884?\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (481*d + 919*d + 436 - 436)*(5 - 4 - 3) to r + u*d and give u.\nAnswer: -2800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 1750 divide 34260951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3312)\/21)\/(-4)*-7. Let s be -1 - u - 0 - 0. What is the highest common divisor of 25 and s?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1116*g**2 - 780*g - 136 = 0.\nAnswer: -34\/93, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*0.5\nAnswer: -0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -15897943 take away -12284?\nAnswer: -15885659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -149 + 148.905. Round h to 2 decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 528175244?\nAnswer: 2, 17, 456899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -218*x + 107*x + 113*x + 16*x**2 + (0*x + 3*x - 2*x)*(-2*x + 3*x - 3*x) - x**2 + 5*x**2 + 2 - 2*x**2.\nAnswer: 16*x**2 + 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 - -6) + -7998 + -4. What is d rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 + 1)*((-4*p + 4*p + p)*(-13 + 10 + 1) + 0*p + p - 3*p + 2*p - p - 2*p + (0 + 3 - 5)*(p + 2 - 2)) to x*p + v and give x.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5325947141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 1 (c) -86\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-2 + -6 + 0 + 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79 + 20 + 56 + 2*m**3.\nAnswer: 2*m**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -15 + (18 - 12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3210032 (base 4) in base 8?\nAnswer: -34416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3\/13)*n**(1\/8))\/((n**(10\/9)*n)\/(n*n**(-11))) assuming n is positive.\nAnswer: n**(-11435\/936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ukngnnnnnkkgne. Give prob of sequence gk.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**2 - t**2 + 2*t**2 + (-2*t**2 + 4*t**2 - t**2)*(3 - 5 + 0))*(1 + 3 - 3)*(630*t - 261*t - 134*t) - 2*t**3 + 2*t**3 + t**3.\nAnswer: -234*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 24*m**2 + 26*m - 16. Is n(24) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(15\/(-140)) - -9. What is the closest to 1 in y, -2, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3*o**3 - 2*o**2 + 2*o - 2. Let f(j) = -3 - 6 - 2*j**2 - 13*j**3 + 9*j - 6*j**2 - j**2. What is 2*f(l) - 9*k(l)?\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22 or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 6*m**2 + 5*m - 12. Let s be l(5). What is the remainder when 14\/s*3*-4 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3*d + 26. Calculate the smallest common multiple of z(4) and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65608.939 rounded to the nearest 10?\nAnswer: -65610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-6)*a*a\/(a*a**6))**(-1\/26) assuming a is positive.\nAnswer: a**(11\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -232 - -473. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.8 - 10. Let w = c + 7. Sort 0.01, w, 0.4.\nAnswer: w, 0.01, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 5) to base 4.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*a + 2*p, -6*a + 2*a + 6 = 2*p. Let h(n) = 3*n**2 + 3*n**2 - 6*n**a - 10 - 6*n**2 + n**3 - 5*n. Let c be h(7). Solve c = -u + 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 + -14. Let s be -3 + 1 + 0\/(-4). Let j(l) = l**3 + 5*l**2 + l + 1. Let g be j(s). Is r at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35847389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1833*q - 1856*q + 3573*q - 4408 for q.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 2*h + h - 7, 2*h = 4*l - 6. Let z be (16\/(-6))\/(2\/(-15)). What is the highest common factor of h and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3*s - 5. Let d be p(-7). Suppose -5*q - 1 + d = 0. Find the third derivative of -2*c**2 + 2*c**2 + 3*c**3 - 2*c**2 + 0*c**q wrt c.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, k: 7, s: 5}. What is prob of sequence oo?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 9 - -1 - (58 + -28 + -57 - (0 - 32))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 555155 is divided by 89?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -179 + 595. Let j(v) = 424*v**2 - r*v**2 + 4 - v**3 - 2. Give j(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s - 10. What is q(9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 360099451*j*k**2 + 3755*j - 52031 wrt k?\nAnswer: 720198902*j*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 1:05 AM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 58139265 to the power of 1\/3, to the nearest integer?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 7*j - 8. Which is the second smallest value? (a) 0 (b) 0.1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 160*p. Let u be n(-10). What is u rounded to the nearest 100?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from -19196528022.7.\nAnswer: -19196528025.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-8 - -19) + -16\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of m**2 - 9*m - 7222. Let c(l) = l - 10. Give -7*a(y) + 6*c(y).\nAnswer: -8*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2387 + -1825. Round k to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from rrrztkrruguzrzrgrkkr.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 4*l = -0*a - 758, -5*l + 610 = 4*a. List the prime factors of a.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 10*f - 9. Let w be m(-10). Let x(h) = -h**3 - 4*h**2 + 9*h + 10. Let u be x(w). Round u to the nearest 10.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 125495543?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (40\/(-15))\/(10\/(-183))*5?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 1078*y + 737360. What is f(-684)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -d**8\/2240 + d**7\/420 - d**6\/240 + 5*d**4\/4 - 19*d. Let q(t) be the third derivative of b(t). Solve q(n) = 0 for n.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 + 44. Suppose -26 = 4*y - 2. Let m = d + y. Solve 5*b - 10 - m = -i, i + 4*b - 23 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k - 3, 2*s - 39 = 4*k - 37 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/45 - -1\/5. What is the nearest to -0.2 in 1, 2\/5, 0.2, c?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -49 + 34 + 45 - (0 + -1 - -3).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13.89872 and -0.015?\nAnswer: 0.2084808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 24403 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*(15535\/(-7) - 2\/(-7)). Suppose 2*o = 4*c + 9573 - 2931, 2*o - c = m. Find the second derivative of -5*l + 33*l**3 - o + 3331 wrt l.\nAnswer: 198*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h**4 - 2335*h**3 + 742145*h**2 + 2335*h - 742140 = 0 for h.\nAnswer: -684, -1, 1, 217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away 655.11?\nAnswer: -655.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -528 divided by 3\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -12478 to the nearest one hundred.\nAnswer: -12500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15 and -9\/2680.\nAnswer: 2680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (141\/1410)\/((-2)\/(-6))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d + 5*d + 6 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 97443 and 6057.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 4 = -2*i, 2*o - 13 + 2 = -5*i. Solve -i*r + 4*k - 18 = -r, -r = 4*k - 21 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 126, 16, 29, 4, 9 in ascending order.\nAnswer: 4, 9, 16, 29, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2 = -4. Suppose -5*n + 5 + 20 = 0. What is the tens digit of a\/n + 408\/30?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/3)\/((-214)\/321).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 1193 = -5*a, x + 92 = 90. What is the remainder when 482 is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11\/(-4) + (-27)\/(-36). Let y be (0 - (2 - 3))*1. Let g be (-2 - r)\/(y - 2). Solve m = -g*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -43\/135 - -5\/27. What is the fourth smallest value in -2\/9, 0.22, w, -1\/2?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-4) + -40*(-18)\/4032. Let i = 1.5 + -1. Let m = 0 - 1. Which is the nearest to m? (a) r (b) i (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-4)\/((-32)\/36))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9702992*m**2 - 2*m**3 + 9702992*m**2 + 5.\nAnswer: -2*m**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4 = -4. What is the smallest common multiple of l and 11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 15 = 8. Suppose 0 = -r - z*r + 136. List the prime factors of r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**3 - t**2 - 4*t + 2. Let k(c) = 7*c**3 + 51*c**2 - 154*c + 8. Calculate k(b) - 4*m(b).\nAnswer: -b**3 + 55*b**2 - 138*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/5 of a century?\nAnswer: 3120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 111040 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (66\/4)\/(-1)*18\/(-45). Is z greater than 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -631817, -1263631, -1895445, -2527259?\n\"Answer: -631814*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**17\/q*q)**26*(q**(-2\/81))**(-34))**34 assuming q is positive.\nAnswer: q**(1219580\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-81)\/18*((-272)\/(-6))\/2. Let l = -107 - i. Sort 8, l, -3 in decreasing order.\nAnswer: 8, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -4*v + 2*n, -10*n - 24 = -3*v - 11*n for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 8:08 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 4)*(-4*c - 2*c**2 + 4*c) + c**2 + 7*c**2 + 3*c**2 - 2*c**2 - c**2 + c**2 + (-2*c + 3*c - 2*c)*(-2*c - 2*c + 5*c).\nAnswer: 10*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -26, -39, -52, -65, -78?\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -358 take away 20.2?\nAnswer: -378.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of 0 - n - 9\/2*n**2 + 3\/2*n**3. Let k(x) = -2*x - 1 - 3*x + 5 + 1. What is 7*k(d) + 4*l(d)?\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 294 - 346. Let d = 86 + -600\/7. Which is greater: k or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2832701\/3458 + 5734\/7. Let z = b - -35351\/988. Let t = -36 + z. Is t != -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1352 divided by 5092?\nAnswer: 338\/1273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2111302013 (base 4) to base 16.\nAnswer: -95c87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 3*u - 15030, -6*u = -7*u - 2*b + 5019. Let j = -2622 + u. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*a + 5*t - 1524 = -115*a - 132*a, 0*a + t + 2*t = -2*a + 38 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -5 (c) -10 (d) 4\/7 (e) 2\/27 (f) 2299\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22101073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**2 - 12*f**2 - 6*f**2)*(2*f**2 + 3*f**2 - 3*f**2) + 0*f**4 - 3*f**4 + 4*f**4.\nAnswer: -27*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 6*z + 10. Let r(f) = -f - 1. Let o(i) = -b(i) - 8*r(i). Suppose -5 - 5 = -5*a. Calculate the smallest common multiple of 14 and o(a).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l*l**17*l*l*l)\/l)\/l**(-17))\/((l*l\/(l**(-2)\/l))\/l*l\/l**(-15)*l) assuming l is positive.\nAnswer: l**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177*g + 85*g + 85144 = 1218294. Calculate the remainder when g is divided by 85.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 85644 and 96.\nAnswer: 685152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-59)\/(-944) + (-47)\/(-16). Solve 0 = -5*q - 2*z - 29, j*z = -5 - 1 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3905)\/(-17963)*1\/5.\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 8:25 PM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 7a0?\nAnswer: -7a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*r + 941 = 1039 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1659.00000021005 + 1659. What is y rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x = -s - 68205, 5*x - 27*s + 23*s = 24348. Is 42 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 3. Suppose -q*u + 8 = 0, -5*u = 5*l - 0*l + 130. Let o = l + 43. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 901.\nAnswer: 4505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of -s**4\/2 + 2*s**3 - 8*s + 3. Factor g(m).\nAnswer: -2*(m - 2)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-53.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from zzzc.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33) - -3*sqrt(825) - sqrt(33))\/(sqrt(1584)*1)*3)**2.\nAnswer: 675\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 71 + -50. What is the greatest common factor of r and 168?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25122234?\nAnswer: 2, 3, 43, 97373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 0 - (-35 - 24 - (-14 - -15))) + -2?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -577650691 and 1225.\nAnswer: -577649466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 131281 > -3258?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4559265084 divided by -6.\nAnswer: -759877514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -53.3995 rounded to one decimal place?\nAnswer: -53.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/66)\/((-25)\/150))\/(24*3\/(-66))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-nine halves of a centimeter?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 + -24. Let d(t) = -t**2 + t + 6. Let b be d(s). Let v(j) = -j**3 - b*j**2 - j + 3 - 7 + 1 + 4. What is v(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 8*i. Let l(y) = y. Let j(z) = -4*z. Let b(h) = -2*j(h) - 7*l(h). What is b(x(o))?\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 6 = 2*g, -g - v = 1 - 4. Suppose 0 = 4*n + 90 + 6. Let c = n - -20. Sort -10, c, g in increasing order.\nAnswer: -10, c, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(102\/27*(-1116)\/(-992)*(-6)\/(-867)).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of -13*t**4\/24 + 2*t**2. Let g(a) = 2*a - a - 6*a + 6*a. What is g(k(y))?\nAnswer: -13*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/3, -0.79, -7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000006564 rounded to 7 decimal places?\nAnswer: -0.0000066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -3333 at most as big as -3333?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 213 + -826. Let f = 613 + m. Solve -2*t - 3 = 3*o, f = -2*t + o + o + 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 177 - 175. Solve 5*n - i - 4 = 0, 2*n - 1 = 3*n - p*i for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -673 divided by -5802?\nAnswer: 673\/5802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196 = 8*w + 41*w. Let g be -20*(4\/10)\/(-1). Suppose -320 = -w*t + g. Is t a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 741 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10 - 10 + 9*y**3 - y**3 + 2*y**3 + y**3 + (2 - 2 - y**3)*(-2 + 5 - 2) + (-4*y + 0*y + 6*y)*(-2*y**2 + 3*y**2 - 3*y**2).\nAnswer: 6*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 141*n - 142*n + 23. Which is smaller: 21 or n?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4 = 13. Let u be (w\/8)\/((-12)\/(-16)). Which is smaller: -0.3 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*2\/2*1)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4*z + 1 - 9 = 0, 4*z - 14 = -x. Solve -q = -1 + x for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-6) - 1\/(-2). Let d be w + 1 + 0 + 0. Solve 7*v - d*v - 9 = -3*n, -v = 4*n + 5 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1122 and 858?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of r**2*t - 596*r**2 + 2*r*t + 54*r wrt r?\nAnswer: 2*t - 1192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7519526775.\nAnswer: 3, 5, 157, 212867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of -641*m**6\/120 - m**5\/20 + m**4\/24 + m**3\/2 - 2*m**2. Let x be l(7). What is x rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1349, -2278, -2261, -824, 2507, 8206, 16747, 28604?\n\"Answer: 79*w**3 - w**2 - 1479*w + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1051204422 - -34?\nAnswer: -1051204344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0525 - 310.0525. Let n = j + 309.976. Which is the second biggest value? (a) -5\/4 (b) n (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 11*x**2 - 271*x - 270. Determine b(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7728 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3*g - 4. Let b(a) = 2*a + 4. Let m(t) = -6*b(t) - 5*r(t). Give m(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 927 and 602334.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1150\/(-41) - ((-286)\/(-451))\/(-13).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31.4 + -32.1. Let o = u - -0.6. Which is the closest to 13\/6? (a) -0.4 (b) -0.3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 5:36 PM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 10*g**2 - 10*g + 11. Let j = 20 - 11. Let n be h(j). What is the third derivative of -4*s**3 - 25 + n*s**2 + 25 wrt s?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 + 2)*(3 - 32 + 1)*(-38*j - 10*j - 24*j).\nAnswer: 12096*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3296, -2349, -1402?\nAnswer: -455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a + 30*a - 85 = 0. Let n be 241000001\/(-5) + 4*a\/100. What is n rounded to the nearest 1000000?\nAnswer: -48000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 644 and 2786?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -9 + 10 + 0 - 2\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 9) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2. Let a be ((-4)\/16)\/((-2)\/16). Let s(l) = 4*l**2 - 209*l + 209*l + a*l**2. Calculate 3*s(n) - 16*z(n).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of -5*f**4\/24 + f**3\/3 - 13*f**2. Let s(j) = -j - 6. Let m be s(-4). What is the units digit of d(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**3 + 2 - 2*d**2 + 5 - 8. Let r(s) = s**3 + s - 1. Let j(i) = f(i) - r(i). Let b = 5 + -3. Give j(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 421*s - 422*s = -5*i - 19, 0 = i - 6*s + 27 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1783, 7257, 16357, 29077, 45411, 65353, 88897, 116037?\nAnswer: 146767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + 480. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/((-864)\/932) + 8. Let x = 7\/4 - l. Suppose 3*d + 2*d + 5*h - 100 = 0, 3*d = -5*h + 50. Sort d, -4, x in descending order.\nAnswer: d, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29812 is divided by 1363.\nAnswer: 1189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32851?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 0. Suppose -o*d + 0*d = 3*i + 2, -2*i + 6 = 5*d. Suppose 276*z = 84 + 192. Solve -z = -d*w + 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66244 (base 7) to base 6.\nAnswer: 204454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8829466 divided by -2?\nAnswer: -4414733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (2842\/(-812))\/((-13)\/260*2)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13.962727 or -1\/4?\nAnswer: 13.962727","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 131 - 15\/(-3) - -4. Let p = -130 + o. What is the greatest common divisor of 110 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4 + 163*k**3 + 2316*k**2 - 5292*k.\nAnswer: k*(k - 2)*(k + 18)*(k + 147)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c**3 + 5*c**3 - 2*c**3)*(-2*c - 1 + 1) - 14*c**3 + 2082*c**2 - 2082*c**2 + c**4 to the form j*c**2 + f + i*c**3 + w*c + b*c**4 and give i.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -57 - -57. Solve 0 = -4*x - m - 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, w: 13}. What is prob of sequence jjj?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5772588 to the nearest integer?\nAnswer: 2403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 17*m - 37. Let q be o(19). Which is greater: q or 5\/24?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -922, -1, 1\/5, -5.\nAnswer: -922, -5, -1, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 119663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1252 and 27148.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 308 and 11312.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1758.\nAnswer: 2, 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 332211211 - -2?\nAnswer: 332211213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 2:06 AM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-69*s + 69*s + s**3)*(2 - 2 - 1 + 3 + 0 - 2 + (0 + 1 + 0)*(-2 + 3 + 1)).\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -12*15\/2250 + 358\/100\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -543891*v + 4. Let z be q(-3). Suppose 5*b = 1518323 + z. Round b to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, -0.5, -1604, 1\/7, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 41*s**5 + 209*s**3 - 4908*s**2 + 2?\nAnswer: 2460*s**2 + 1254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 55.6 - 82.52. Let u = p - -4.8. What is u rounded to zero decimal places?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -4*s**5\/5 - s**4\/4 + s**3\/2 - 11*s. Let a(h) = h. Let i(q) = 3*a(q) - m(q). What is the third derivative of i(b) wrt b?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51 + (-159 - (-96 - -4))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 727007681?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1290)\/9)\/(2\/12*2). Suppose 8*o - 137 - 103 = 0. What are the prime factors of s\/(-4) - (-15)\/o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-224876)\/(-6614)*(-15)\/(-7990)?\nAnswer: 3\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 146\/307?\nAnswer: 146\/307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 22*v**3 - 3*v**2 + 3*v. Let k(p) = 154*p**3 - 22*p**2 + 22*p. Suppose 86 = -3*z - 5*h, -2*z - 55*h - 24 = -60*h. Calculate z*i(n) + 3*k(n).\nAnswer: -22*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 78, 106, 130, 150?\n\"Answer: -2*b**2 + 34*b + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1480*i = -1525*i - 540 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/2 + 30056*s**2 - 4080680*s + 138664512.\nAnswer: -(s - 59976)*(s - 68)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*j - 888*j**2 - 50*j + 97*j**2.\nAnswer: -791*j**2 - 20*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(-4)\/h)*h\/(h*h\/(h*(((h**0\/h)\/h)\/h)\/h)))**(-2\/83) assuming h is positive.\nAnswer: h**(-4\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -1007?\nAnswer: -6\/1007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5941501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a century in months?\nAnswer: 15900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 4. Let x be (-2)\/2*0\/m. Suppose 2*l - 12 = -2*h, x = -2*h + 6*h - 5*l + 3. Solve -2 = 3*t + k - 3, 3*k - h = 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12323 + 2?\nAnswer: 12331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1688)\/(-12))\/(2\/3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**2 + 17*g - 79. Let c be q(4). Solve 31 = -5*r + c for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 351 - 637. Let j = -194 - w. Suppose j = 4*y - 152. List the prime factors of y.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 11:57 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3787 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -26 - ((-4048)\/154 - 0). What is the closest to u in -0.78, 2, -5?\nAnswer: -0.78","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 10626?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2836*u + 2070*u + 1991*u.\nAnswer: 1225*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + f = -7, 577 = -3*c - 2*f + 558 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-90)\/(-180)*2*5\/(-9).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*q**5\/3 - 1978*q**4\/3 - 2570*q**3 + 34258*q**2\/3 - 37844*q\/3 + 4400 = 0.\nAnswer: -6, 1, 1100\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -6351?\nAnswer: 6346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 58 = 15. Suppose 3*z - p - 38 = 8, 5*z - o = -2*p. What is the smallest common multiple of z and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3*i - 6*i**2 + i**2 + 4*i**2 + 0*i**2. Let q be j(4). Let w = -6 - q. What is the least common multiple of w and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4050*a**4\/7 + 23040*a**3 - 194818*a**2\/7 + 4400*a - 1312\/7 = 0. What is a?\nAnswer: -41, 4\/45, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 810 + -1348. Is (y\/4)\/(11\/(-22)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -85.02 + 79.02. Put 3, 7, b, -1, 1 in increasing order.\nAnswer: b, -1, 1, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - (22 - (23 + 16))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 230*x - 80. Let g(r) = -10*r - 11*r + 6*r + 15 - 25*r - 6*r. Let j(n) = -3*c(n) - 16*g(n). Let a(s) = 3*s**2. What is a(j(o))?\nAnswer: 6348*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126643659 divided by -51.\nAnswer: -2483209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.096002 * -0.2.\nAnswer: 0.0192004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 30757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of -41*h**7\/210 - h**4\/8 + 15*h**2. What is the second derivative of r(m) wrt m?\nAnswer: -492*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.13 + 5.13. Let l = -4 - -35\/8. Which is the nearest to 1? (a) -2 (b) f (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 755679 is divided by 94459.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 7.1065 times -11\nAnswer: -78.1715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1203024 (base 7) to base 8.\nAnswer: -451366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**3 - 1693*h**2 - 4*h - 66. Let g(b) = -4*b**3 + 3385*b**2 + 7*b + 110. Determine -3*g(l) - 5*v(l).\nAnswer: 2*l**3 - 1690*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, a: 2, i: 5, j: 2, h: 7}. What is prob of picking 1 a and 1 j?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -30440665 at least -30440664?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from svtfskftg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1002, -8\/157, -1.\nAnswer: -1, -8\/157, 1002","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*o - 19 = 0, -28 = -0*i - 5*i - o. Suppose -5 = u - 4*m, 2*u - 4*m = i*u - 1. Let c(a) = 7*a. Calculate c(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - k = -65. Let n = k - -12. Let r(u) = -20*u**3 - u**2 - u. What is the tens digit of r(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -9, -11, -13, -15, -17, -19?\n\"Answer: -2*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -530 + 548. Calculate the least common multiple of g and 21.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, d: 3}. What is prob of sequence dc?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -31870b5a?\nAnswer: 31870b61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33 - z - 3*z**2 + 0*z**4 + 32 + z**4 to the form a*z**4 + w*z + p + v*z**3 + q*z**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide (-2)\/8 + 1974\/24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 35 = -5*u, 6*u - 8 = 2*u. Suppose w = 4*b + 1. Solve -3*j = -b*j - 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*q = -32*q + 35 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -761 - -6847\/9. Which is the nearest to 0? (a) w (b) -0.1 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 - 6*a - 5. Let k be t(7). Let l(c) = c**2 + 5 - 9 + 6*c - k*c. Give l(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1086086 is divided by 155113.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*s - 32*s - 7*s + (-2 - 1 + 1)*(-4 + 2*s + 4) + 12 - 12 + s - 103 + 3*s + 103 + (-3 - 3 + 5)*(0*s - 3*s + s) + 1 - 1 - s.\nAnswer: -30*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1005, 909, 813, 717?\nAnswer: 621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -313\/36 + 3899023\/448452. Let u = z + -516962\/87199. What is the common denominator of u and 3\/(-2)*(-58)\/(-60)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28518808?\nAnswer: 2, 587, 6073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 26527951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 > 601?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) + 3*sqrt(187))*-6 - sqrt(187))\/(sqrt(11) - (sqrt(275) - (sqrt(275) + sqrt(275)*-1))) + 1.\nAnswer: 1 + 25*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from {z: 5, x: 3}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2403, 2417, 2431, 2445?\n\"Answer: 14*a + 2389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -29080000 rounded to the nearest 1000000?\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((33\/14)\/(-11))\/(16\/(-28))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 162939 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d - 4. Let w be p(-8). Suppose 0 = -w*q - 5*y + 85, 0*q + 40 = q - 5*y. Suppose -q + 1 = 3*u. Let n(c) = c**3 + 8*c**2 + c + 10. Calculate n(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ezz when three letters picked without replacement from zzeezzzezz?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 59 - 36. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -109*v**2 + 12. Let n(o) = -o. Determine z(n(g)).\nAnswer: -109*g**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -5. Suppose -5*f + 2*x + 45 = w*x, -2*f + 18 = -4*x. What is the remainder when 25 is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3516 or -3534?\nAnswer: -3516","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9528?\nAnswer: 2, 3, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b24b (base 12) to base 2.\nAnswer: -100101110011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14772 by 4.\nAnswer: 3693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/18 + 13\/(-6). Let m = 240.637 + -241. Let p = 0.063 + m. What is the nearest to p in i, -4, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 109.8152 to zero decimal places.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1604743 take away 2389179?\nAnswer: -784436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one twentieth of a milligram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 7 - 10 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 4 - 16 = 0. Suppose -3*x + 8*x = 5*f + 15, s*x = f - 1. Is x greater than or equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dbdd when four letters picked without replacement from {b: 2, d: 7}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 33 + 13 = 0, z - 3 = d. Is 2*d\/(-5)*-145 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7420\/(-118720))\/(14\/(-4))?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-7) - 27049\/(-77) a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*y - 12968 - 42*y**3 + 2*y + 12945 with respect to y.\nAnswer: -126*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 365.792387 rounded to 2 decimal places?\nAnswer: 365.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 62682?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10440\/1392)\/((-2)\/((-8)\/(-3))).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 6, w: 2}. What is prob of picking 4 w?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 0\/2 + (139\/48 - 0) and ((-10)\/(-270))\/(8\/(-448))?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*c = -60*c + 830. Let k = -159 + c. Solve -4*o + 32 = -4*w, -o + 3*w + 11 + k = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, c: 1, f: 4, t: 2, k: 3}. What is prob of picking 1 f and 1 w?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 5*y - 2. Let z(m) = 2*m - 1. Let x(r) = 2*j(r) - 4*z(r). Let a(u) = -4*u + 62. Give a(x(l)).\nAnswer: -8*l + 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -839 + 1508. Let v = -669.5 + f. Which is the closest to 0? (a) 0 (b) v (c) 2\/9 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 553 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7312 or 7969?\nAnswer: 7969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/13862792 and 15\/24259886.\nAnswer: 97039544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + 22*i**2 + 21*i - 3. Let z be q(-21). Let n be ((z\/(-9))\/(-1))\/((-3)\/774). Suppose 106 = 4*b - n. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3374.97 - 3423.97. Let x = -0.05 + 4.05. What is the third smallest value in c, 1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 135*q + 273*q - 91*q as y + c*q and give c.\nAnswer: 317","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1011732.\nAnswer: 2, 3, 59, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000606 to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1568 divided by 16\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1f6e0 (base 16) to base 12.\nAnswer: -62600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d = -8, -17*d + 21*d - 8 = -3*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-21)\/(-6) - (-2)\/4. Let y = v + 0. Suppose -3*l - 4*d + 28 = 0, -5*l + 35 = -6*d + d. Calculate the greatest common divisor of y and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**4 - 2220*a**3 + 412914*a**2 - 819180*a + 408483.\nAnswer: 3*(a - 369)**2*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -97 + 99. Suppose -2*o + 5*k = -5*o - 19, -4*o = 2*k + c. Calculate the smallest common multiple of ((-330)\/10)\/(6\/(-8)) and o.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*a**2 + 1691 - 14038*a + 14038*a - 1691.\nAnswer: 96*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 9, 9, 7, 3, -3, -11, -21?\n\"Answer: -m**2 + 3*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(110)*-2 - sqrt(110) - sqrt(110)) + sqrt(110)) - sqrt(110))\/(sqrt(810) + sqrt(810)*1).\nAnswer: 17*sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-80)\/(-44) - (5 + -3))*(-14)\/(-28)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 165 + -165.0197. Let i = 0.003 - b. Round i to 3 decimal places.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 51 - 56?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3 + 376*z**2 - 7340*z + 6968.\nAnswer: -4*(z - 67)*(z - 26)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, u: 1, y: 11}. Give prob of picking 3 y.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 1:39 PM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert b3590a (base 12) to base 2.\nAnswer: 1010101101110111011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -927*q**2 - 2455*q - 1071 + 15*q**3 + 456 - 898*q**2 = 0. What is q?\nAnswer: -1, -1\/3, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 192 + 98 = 5*b, -116 = -2*b + 2*n. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53961415\/1003 - -53800. Calculate the common denominator of -9\/413 and g.\nAnswer: 7021","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7638575, -1, 1.\nAnswer: -1, 1, 7638575","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 496048 and 854.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 654 and 57?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*g + 4 - 4)*(-2 + 1 + 0)*(4*g - 2 + 2)*(-22 - 36 - 4) as d*g**2 + i*g + y and give d.\nAnswer: -744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 7*m**2 + m - 5. Let i be d(7). Suppose k + 4*r = -k - 14, 4*r + 18 = i*k. Which is smaller: k or 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 883624 divided by 28504\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 358107 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7759 + 19836. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 4 - 8 + 141*u + u + u - 4*u + (2 + 1 + 0)*(4*u - 2*u - u))*(3 - 3 + 1).\nAnswer: 142*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 1. Suppose -2*t - 19 = 3*d, -4 = 2*t + d + 5. Let r = -3 - t. Let u be v(r). Calculate the greatest common divisor of 2 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 77 + 227. Let s = 78 - u. Is s equal to 26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.40831194 rounded to 2 dps?\nAnswer: 6.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16\/(20\/(-5))*-6. Suppose 856 = -16*i + o*i. What are the prime factors of i?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g - 12. Let f be t(7). Let n = f + 16. Put n, 4, -2 in ascending order.\nAnswer: n, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 11:21 PM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*i*m**4 + 97774*i*m**2 - 1593*m**4 wrt m?\nAnswer: 96*i*m - 38232*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17460?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -44 or -43?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 302 = j + 2*w, -2*j + 144 + 455 = -w. Calculate the highest common divisor of 75 and j.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13320 (base 4) to base 16\nAnswer: 1f8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - o - 40 = 0. Let k be o\/3*15\/(-9). Suppose 4\/9 + k*f + 26*f**2 + 54*f**3 + 42*f**4 = 0. What is f?\nAnswer: -1\/3, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 36265.78 to the nearest one thousand.\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -10*o + 2. Let k be t(2). Let j = 38 + k. Calculate the highest common factor of j and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10811596 is divided by 1866.\nAnswer: 1858","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*b**3 - 9*b**4 + 52*b**3 - 32*b**3 - 5*b**2 to w*b**3 + m*b + g + d*b**2 + q*b**4 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1075 divided by -1075?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3981320.9 rounded to the nearest ten thousand?\nAnswer: -3980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 11*l**5 - 43*l**4 - l + 43*l**4 + (-4*l - l + 3*l)*(-4*l**4 + 0*l**4 + 5*l**4).\nAnswer: -13*l**5 - l - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 22*b**2 + 24*b - 2. Let x be g(23). Calculate the greatest common divisor of x and 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, j: 7, v: 2}. Give prob of sequence vv.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -322, -643, -964, -1285, -1606, -1927?\nAnswer: -2248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64, -80, -96, -112?\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -432*v**2 + 422*v**2 - 134*v**2 - 383*v**2.\nAnswer: -527*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3338386893 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7122 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 7*k - 3*k. Let v(g) = -1. Let b(q) = 3*q. Let y(r) = k*b(r) + 3*v(r). Differentiate y(j) wrt j.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -276, -265, -254?\n\"Answer: 11*m - 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29.1 - -32. Let q = v - 0.9. Suppose 0 = -5*x + 2*x - x. Which is the closest to x? (a) -0.5 (b) -3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1751 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -131529\/712600 + 2\/38175. Find the common denominator of j and 16\/315.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14250*j**5 - 2*j**3 + 25*j**2 - 3*j - 5?\nAnswer: -855000*j**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cdckkdodddokd. What is prob of sequence dok?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, 0.4, 3027, 13\/7.\nAnswer: -47, 0.4, 13\/7, 3027","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8911528ml in litres?\nAnswer: 0.0008911528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6750 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1010 - 100102202012000?\nAnswer: -100102202010220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/10914192 and -13\/291045120.\nAnswer: 873135360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.079844 rounded to 3 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11465 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -187702866 divided by -10427937\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -1085*m - 35833. Determine w(-33).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 14 = -2. Calculate the highest common divisor of 36 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + 16 + -1 + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of -2*p**3\/3 - 2*p**2 - 2*p - 5. Factor d(k).\nAnswer: -2*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -14*k**2 - 8065*k - 40325. Calculate m(-5).\nAnswer: -350","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*q + 3*u - 3, -3*u + 13 = 5*q. Solve -q*s = -s + 16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 661*u**3 - 32*u**2 + 13*u**2 + 19*u**2.\nAnswer: 661*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*g**2 + 9*g + 3*g + 8*g**3 - 4*g**3.\nAnswer: 4*g*(g + 1)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 7*w - 1. Let g be p(1). Let y(c) = 4*c + c**3 + 2*c**2 + 3 + 3*c - 9*c**2. What is the units digit of y(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 718.089 rounded to the nearest ten?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -44 in -74, -81, -2?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 846 or 0.195?\nAnswer: 0.195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -5*y - 52, -3*p = -5*y - p - 48. Let f = y + 24. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-9) - 2\/(-9). Let v(q) = -q**3 - q**2 + 7 + 0*q**3 + 0*q**2 + q. Is v(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -2*z - 2*p - 2*p, -4*z + 48 = -4*p. Suppose -4*j = -2*d + 64, 30*d + 3*j + 103 = 34*d. What is the least common multiple of d and z?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 41743*v + 584406. Calculate m(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**2 - 2*w + 2*w + 9*w**2 - 379*w + 379*w + (-6 + 3 + 1)*(3*w**2 - w**2 + 0*w**2).\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 158330079 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10 - 12*w**3 + 10)*(18*w - 41*w + 20*w + 10) to the form j*w + y + l*w**2 + o*w**4 + x*w**3 and give x.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 738707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 9*j + 16. Give m(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 113279 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17536 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-2*sqrt(204)*1 + 1*(sqrt(204) + -2*sqrt(204))))\/(-5*3*-4*(1*sqrt(108) + sqrt(108) - sqrt(108))).\nAnswer: sqrt(17)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2781334?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, g: 5}. What is prob of sequence ggn?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(((-18)\/135*10)\/((-4)\/24))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -223 + 1898. Let j = -1079 + i. Is 19 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -3. Suppose -d*n - 18 = -117. Calculate the remainder when n is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -455 + 284*z**2 - 285*z**2 + 287 + 2*z**3 as u*z**3 + g*z**2 + r*z + l and give l.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 171*r**3*v**2 - 42*r**3 - 3*r*v**4 + 3*r + 6 wrt v?\nAnswer: 342*r**3*v - 12*r*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87 - 55 - 7*t**2 + 7*t**2 + 2*t**3.\nAnswer: 2*t**3 + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -200022 + -10?\nAnswer: -200032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -397305.6 and -0.5.\nAnswer: 198652.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c - c + 5 + c - 24. Let x be g(8). Let i be (7\/x + 3)*3. Is -1.7 greater than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/11, 1.87, -10, -0.1?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.7682 rounded to one decimal place?\nAnswer: 24.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h - 44. Let l(y) = -y - 15. What is -7*l(b) + 2*x(b)?\nAnswer: 3*b + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 14*n - 11. Suppose -2*a - 2 = 2. Let k(x) = -x + 1. Let u(p) = a*j(p) - 22*k(p). Let t(z) = 4*z**2 + 0*z**2 - 2*z**2. Determine u(t(s)).\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + (-15)\/(-4) - 12\/16. Suppose 18*z - 29 = -8 + 33. Solve m*h = z*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-14)*-90*8\/20?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 4*r**2 + 48*r + 160. Let g be k(-3). Solve -107 = -20*x - g for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 681567 (base 11) to base 16\nAnswer: 109003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-30))\/(6\/15).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -129\/147280 and 191\/7392.\nAnswer: 9720480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -4 (c) 14397 (d) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1534 - 779 - 2269*f - 753)*(2*f**3 + 0*f**3 - 4*f**3).\nAnswer: 4538*f**4 - 4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 452*t - 234*t + 2063*t + 552*t + 2650*t.\nAnswer: 5483*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 182\/(-260)*(-1)\/(-3 + 5\/4)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, w: 3, u: 5, z: 1, a: 1, h: 3}. Give prob of picking 1 h, 1 a, 1 m, and 1 z.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 32.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11.68 + 11.7. What is the closest to -2\/7 in -0.4, 7, r?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 484495 to the nearest integer?\nAnswer: 696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 12 = 3*c. Let j = -3 + 5. What is the third biggest value in -1, j, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h + 10 = -12*h. Let m be (1\/h)\/((-7)\/(-70)). Let c be (4 + 0 - 132\/44)*1. Is m > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 405 divided by 3\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (504\/(-96))\/(18\/4)*(-1)\/42.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 547918 to the power of 1\/2, to the nearest integer?\nAnswer: 740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 471, 462, 453?\nAnswer: 444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -24846 to the nearest 100.\nAnswer: -24800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 8*y + 11*y = 15, 2*i + 3*y = 15 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1.8179436 + 1\nAnswer: 2.8179436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21\/(-14) + (-1353)\/(-6).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -2*h + 1254, 2*c - 3*c = -4*h - 432. What is c rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-2)*25*(-23)\/(2530\/(-22))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3*f - 53 = 5*k, -5*f - 5 = 0. Let b = 0 - k. Calculate the remainder when 21 is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -959109*s**3 + 801991*s**2 wrt s.\nAnswer: -5754654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**2 - 2. Let n(k) = 11*k**2 - 12. Let d(p) = -n(p) + 6*y(p). Let l(t) = 3*t - 9*t**2 - 3*t. What is l(d(m))?\nAnswer: -9*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, k: 7}. Give prob of picking 2 k.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence msm when three letters picked without replacement from {m: 6, s: 1, q: 7}.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*h - n, -4*h - h + 4*n = -23. Suppose -3*a - l = -215, -l + h*l = -2*a + 146. Find the second derivative of w**5 + a*w**4 - 71*w**4 + 3*w wrt w.\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104)*-1 + sqrt(104))*2)\/((-2*sqrt(648) - sqrt(648)) + sqrt(648)) - (5*sqrt(91)*2)\/((sqrt(56)*-2)\/sqrt(8)).\nAnswer: 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 309 (b) 1945.1 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 1:28 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -3 + sqrt(720) + -4 + 3.\nAnswer: -8 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 - 6*c**2 + 2*c - 9*c + c + 6. Let i be -2*5 - (17 - 20). Calculate the remainder when h(i) is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 916990331 to the power of 1\/4, to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7254 and 1.\nAnswer: 7254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3016 and 7946?\nAnswer: 413192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -1. Let w(y) = -3*y - 129. Let a(m) = 12*d(m) - w(m). What is the remainder when 85 is divided by a(-24)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 302 + -98. Let s = 363 - w. Is s a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by 22.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2)*(0*a**4 + 2*a**4 - a**4) - 2*a**4 + 1 - 1 + 49*a + 19*a - 70*a + 34*a**4 - 2*a**2.\nAnswer: 33*a**4 - 2*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3 + 0.1. Let x = 0.5 + y. Let f = 279\/4 + -70. Which is the third biggest value? (a) x (b) -3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*h**2*j - 69886*h**2 + 51997*h*j with respect to j.\nAnswer: -3*h**2 + 51997*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*o + 0*o + 72*o - 11*o to the form y*o + m and give y.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 44\/154 + (-36)\/(-70). Let q = -0.0273 + -3.9727. What is the third biggest value in j, -0.4, q, -2\/9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*-14*(-265)\/102396*2\/(-10).\nAnswer: 3\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 4*q**2 - 4*q + 4. Suppose -2*j - 7 = -c, 3*c - j = -3*j + 5. Let a be (-2)\/(2\/c)*(-44)\/66. List the prime factors of g(a).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -887 + 1246. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24739?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 27697954 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -23.78 in -2, 0.4, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 480280430?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of 157*k**2\/2 + 2. Is o(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12224 times -1168?\nAnswer: 14277632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.654738 less than -36.39?\nAnswer: -37.044738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 15 - 9 - 5 + 3*i + 14*i. Let r(s) = 2*s**2. Determine r(g(j)).\nAnswer: 578*j**2 + 68*j + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -9285*x**2\/7 + 10559*x\/7 - 182 = 0.\nAnswer: 1274\/9285, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 9*t**2 + t + 32. What is a(-10)?\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of l**6\/30 + 13*l**4\/6 - 3*l**3 + l - 18. Find the second derivative of i(w) wrt w.\nAnswer: 12*w**2 + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 847*g - 605?\nAnswer: 847","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 8*l. Let i(w) = -3*w. Suppose -2*q - 4*q + 30 = 0. Determine q*a(s) + 12*i(s).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p + 3. Let u(n) = -8 + 0 - 4 + 9 + 7 + n. Let o = -8 + 12. Let y(c) = o*l(c) - 3*u(c). Let f(q) = 11*q. Give f(y(a)).\nAnswer: -77*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/(-6) + 6\/(-18). Let q be (7\/(-14))\/(w\/4). Let j = q + -2. Is j < -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-1 - 9 - (3 + -3 - 5))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 1802.\nAnswer: 3\/901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 0 + (((sqrt(4)*1)\/sqrt(2) - (sqrt(2) - (-1 + sqrt(98))))**2 - (sqrt(200) - (sqrt(200) + 0 + 0))).\nAnswer: -14*sqrt(2) + 103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d*d**0*d)\/d*d)**34*(d**(2\/3)*d)**9)**(-3\/4) assuming d is positive.\nAnswer: d**(-351\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 14 + 119*j)*(4*j - 4*j + 2*j**3)*(5*j - 4*j - 2*j).\nAnswer: -238*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13079633?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 63815700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - 4. Let t(s) = -11*s**2 - 15*s + 2. Let z(i) = -7*i**2 - 10*i + 1. Let n(y) = b*z(y) + 5*t(y). Calculate n(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -14*k**3 + 7*k**2 + 7*k - 7. Let o(z) = 7*z**3 - 4*z**2 - 4*z + 4. What is -4*d(s) - 7*o(s)?\nAnswer: 7*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2\/7 (b) 5 (c) -4 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -5, -158073 in descending order.\nAnswer: 3, -4, -5, -158073","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 5*x = 5*o - 25, -2*o = -5*x + 25. Sort -3, o, -2.\nAnswer: -3, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -2*o**3 - 386*o**2 - 18430*o + 18818 = 0.\nAnswer: -97, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 3*y**4 - 5490*y**3 - 82911*y**2 - 210258*y - 132840 = 0.\nAnswer: -12, -2, -1, 1845","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of n**5\/60 + n**4\/24 - n**3\/6 + 503*n**2 + 2*n. Let a(k) = 8*k**2 + 6*k - 3. What is a(f) - 3*h(f)?\nAnswer: 5*f**2 + 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 17*c - 14*c + 1 = 0, -3*c = -2*a + 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1 - 20\/(-5) - 1628\/(-1)?\nAnswer: 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3620 = 1165. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 586040 and 416?\nAnswer: 2344160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69097, 138195, 207295, 276397, 345501, 414607, 483715?\nAnswer: 552825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that k**4\/5 - 584*k**3\/5 + 68103*k**2\/5 + 5226012*k\/5 + 5157324\/5 = 0.\nAnswer: -51, -1, 318","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do 17455 and 17460 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-1 - -10) - (-24 + 17 - -9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -20) + 297 + -298?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) -0.1 (c) -13 (d) 0.4 (e) -1.15 (f) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -4*b - 9, 6*b - 5*n - 176 + 209 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 782, 3211, 7290, 13013, 20374, 29367?\n\"Answer: -t**3 + 831*t**2 - 57*t + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 351710 is divided by 79?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -6*t**2 - 8 + 3 + 29*t**3 - 10*t - 30*t**3. Let n be w(-4). Solve n*f - 11 = -2*c + 6*f, -9 = -c + 5*f for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q + 0*q + 7*q - 2*q**3 as u*q**2 + m + i*q**3 + d*q and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - 6*f - 216. What are the prime factors of o(21)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -3\/21935?\nAnswer: -3\/21935","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*r*z**4 - 215239*r*z**2 - 14789*r*z + 35*z wrt z.\nAnswer: 36*r*z**2 - 430478*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-11))\/((u**(-3\/2)*u)\/u))\/(u**(-14)*u**9) assuming u is positive.\nAnswer: u**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - 29*k + 95. Let u be i(4). Let o = 0.011 - -4.189. Let t = 3.8 - o. Which is the third smallest value? (a) -1 (b) u (c) 0.3 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/30 and 89\/10983?\nAnswer: 109830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8007229.\nAnswer: 8007229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**5 + 2424*k**4 - 1476201*k**3 + 8799110*k**2 - 17559516*k + 11693448.\nAnswer: -(k - 1209)**2*(k - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2487?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bmooqpbp. What is prob of sequence mp?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36.1 - -11.7. Let r = -24 - p. What is the nearest to 15 in -4, r, 2\/11?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 323*o**2 + 893*o + 1378645.\nAnswer: 646*o + 893","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 940758950 to the power of 1\/2, to the nearest integer?\nAnswer: 30672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**3 + 4*f**2 + 16*f - 16.\nAnswer: -4*(f - 2)*(f - 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2*(2\/(4\/(-3)))\/(-3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 846*g**2 + 144*g**2 - 233*g**2.\nAnswer: 757*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -1\/3, 5 in increasing order.\nAnswer: -19, -1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a micrometer in nanometers?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/15 in -47994, -7\/10, 1?\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((0 + 3)\/(-6))\/(-1)*0. Suppose 5 = 4*k + m, 3*m - 2*m + 3 = q. Solve -2*g + k*v = g - 12, 3*v = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4370211 equal to 4370210?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of k**4\/12 - k**3\/3 + 4*k**2. Let u be x(3). Find the third derivative of -p**u - p**2 + 2*p**4 + 3*p**4 wrt p.\nAnswer: 96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*f + 13. Solve 10 = -f*h + 11*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -14*y + 44. Calculate c(6).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 0)*(-24 - 3230\/(-133)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 77847477 to the nearest integer?\nAnswer: 8823","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 12*q - 3. Let v be k(4). Suppose -h + 6*h = v. What is the highest common factor of h and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s = 5*s - 36. Let p(f) = -f**2 - 13*f - 44. Let o be p(-7). Sort -1, o, 1, s in increasing order.\nAnswer: s, o, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 23 + 22. List the prime factors of ((-3)\/2)\/(d\/(-42)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a day in seconds?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1674 and 12\/(-14) - 260\/(-91)?\nAnswer: 1674","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - 6*t**2 - t + 6. Let j(h) = -h**2 + 11*h + 12. Let z be j(12). Suppose z = 2*p - 5 + 17. Calculate the remainder when 22 is divided by k(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(2*sqrt(1573) + 4 + sqrt(1573) + (sqrt(1573) - (1 + sqrt(1573))) + 0 + sqrt(1573)))**2.\nAnswer: 264*sqrt(13) + 25177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-90*(-32)\/(-26520))\/(2\/(-13)).\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y*(y*y\/y**(2\/11))\/y*(y**(-2\/9)\/y)\/y*(y**2)**(-2\/9) assuming y is positive.\nAnswer: y**(5\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 + 13. Suppose 40 + 28 = 4*g. What is the remainder when 36\/(3\/k*-3) is divided by g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-5))\/(4\/20). Find the third derivative of 5*g**3 - 4*g**3 - 9*g**5 - g**3 - 9*g**x wrt g.\nAnswer: -540*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -378718, -757444, -1136170, -1514896, -1893622, -2272348?\nAnswer: -2651074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 439, -1\/11, -3, -0.3, 51, 2, 0 in decreasing order.\nAnswer: 439, 51, 2, 0, -1\/11, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 212 a factor of 803583977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -6. Suppose -4*a = -0*a - 4*l + 16, -m*l = 3*a. Let u = 54 - 53. Put -3, a, u in decreasing order.\nAnswer: u, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -1417568.\nAnswer: 3\/1417568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3\/7, 2\/13, 5\/6, -1.8, -5.1211, -0.3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7765 less than -0.5?\nAnswer: -7765.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x = -13*x + 15. Solve -k + d + 2 = 4, -x*k = 3*d + 12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2162268?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -h**4 + 308*h**3 - 2*h + 2519?\nAnswer: -4*h**3 + 924*h**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - 12*p**2 - 19*p + 14. Let d be o(-10). Let b be 78\/(-4)*8\/(-12). Solve 5*u - 17 = -5*w + b, d*u = 5*w + 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 252, 422, 630, 882, 1184, 1542, 1962?\n\"Answer: v**3 + 13*v**2 + 124*v + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8185 and 30.\nAnswer: 49110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/4*312\/27)\/(260\/390)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 332 is divided by 63.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.2, -5, -0.4, -427, -3, 3 in increasing order.\nAnswer: -427, -5, -3, -0.4, 2.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = 2*r + 105. Let o be 1\/4 - r\/(-12). Suppose o*g - 12 = -2. Solve -3 - 7 = -g*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -445536 divided by 102.\nAnswer: -4368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 3 + 1 + 10 - 48*r**3.\nAnswer: -48*r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*h + 4*h**4 - 13*h - 4*h**2 + 3*h**3 + h**3.\nAnswer: 4*h*(h - 1)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from fqlllzqqddzfzyyfyd.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 5*n**3 - 44*n**2 - 15*n - 55. Is p(13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 - 42*y + 44. Let t be k(-42). What is the greatest common factor of t and 187?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1335431, 5341715, 12018855, 21366851, 33385703?\nAnswer: 48075411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -132044022 (base 6) in base 3?\nAnswer: -11221001022112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50 - 23. Find the third derivative of -u*j + 23*j + 22*j**3 - j - 7*j**2 + 5*j**4 wrt j.\nAnswer: 120*j + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 16. Let b(x) = 18*x - 11*x + g*x + 20*x + 3. Is b(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1706?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 9:56 AM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 381\/78 - (-26 + 64 + -33)\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -9466*j**3\/3 + 185*j**2\/2 - 5*j + 4418. Find the second derivative of d(x) wrt x.\nAnswer: -18932","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -20 + (9 - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 18a838b + -5?\nAnswer: 18a8386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 4:03 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -135 (base 13) in base 11?\nAnswer: -184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*z - 5*z + 3*z)*(289 - 289 - 6*z**3) in the form c*z**4 + q*z**3 + h*z**2 + u*z + y and give c.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -16 and -0.2.\nAnswer: 3.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-472)\/354)\/(30\/3).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4\/9 - 2272*p**3\/9 - 1290496*p**2\/9.\nAnswer: -p**2*(p + 1136)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 309382, 0, -2\/7, 5, -0.1 in increasing order.\nAnswer: -2\/7, -0.1, 0, 5, 309382","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.2 (b) 0 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 139 - 145. Let o(m) = -9*m**3 + 25*m**2 + 17*m + 25. Let p(v) = -4*v**3 + 10*v**2 + 8*v + 12. Let z(b) = -3*o(b) + 7*p(b). Determine z(y).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5*-2 + (-8 - -11). Let f = v + 59. Let c = 34 - f. Put c, 0, 1 in descending order.\nAnswer: 1, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*c*i**3 - 580*c*i**2 + 1378*i**3 wrt c?\nAnswer: 7*i**3 - 580*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1201?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, z: 5, y: 3, j: 6, p: 2}. Give prob of picking 1 z, 1 a, and 1 j.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18158191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 0.5, 20.4, -0.087.\nAnswer: -1\/6, -0.087, 0.5, 20.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -27*r - 1. What is the units digit of g(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -45255316*h**3*z + 133*h**2*z - 18*h*z - 8*h - 76*z wrt h?\nAnswer: -271531896*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 469669122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -5*a + 9. Let h be 29080\/(-260) + a\/26. Let w = h + 157. What are the prime factors of w?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.73526 - -0.008394364.\nAnswer: -4.726865636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 d when four letters picked without replacement from ddbdddddbbb.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1790 + -1178. Is 12 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, c: 1, e: 1, i: 1, z: 1}. Give prob of picking 1 m, 1 z, and 1 e.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1402 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*v - 2\/15*v**4 + 0 - 26\/5*v**3 - 72\/5*v**2.\nAnswer: -2*v**2*(v + 3)*(v + 36)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/54 and -103\/23250.\nAnswer: 209250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -1, -0.2, -0.12 in ascending order.\nAnswer: -9, -1, -0.2, -0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 139.167.\nAnswer: 139.167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*j**2 - 3*j**2 + 168*j - 13 + 370 - 193.\nAnswer: 4*(j + 1)*(j + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -20 (b) -19 (c) -2\/7 (d) 0.3 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-76)\/(-8) - (1295\/70 + -13). Solve 1\/3*k**5 + 2\/3*k**2 - 5\/3*k**s + 1 - 7\/3*k + 2*k**3 = 0 for k.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1222790 to the nearest integer?\nAnswer: 1106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*p**2 - 3*p + 30*p**2 + 0*p + 4*p**2 as i*p**2 + x*p + f and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4467*g - 11020 = -8889*g + 4612*g for g.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 112, 229, 346?\nAnswer: 463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 312557?\nAnswer: 7, 44651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -132 - 364*i + 66 + 66 in the form x*i + l and give x.\nAnswer: -364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a meter in centimeters?\nAnswer: 1225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 625 + -591. Let v be 25*-1 - (h + -26). Is -31 > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = 7*b - 152. Is 2 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -260 - 17a7?\nAnswer: -1a47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: -7c7b07 (base 13) to base 10\nAnswer: -2959028","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*u - 286 + 79 = 3*f - 0*u, -3*u + 0*u + 50 = 5*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/18*36\/27.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 14*q + 81*q - 26*q + 141 - 137. Let c be z(5). Let s = c + -141. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.261 - 0.3.\nAnswer: 0.961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1836, 1837, 1846, 1869, 1912?\nAnswer: 1981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 6*r - 2. Let q be l(4). Let y(z) = 11*z**2 - 23*z. Let p(i) = 9*i**2 - 18*i. Let j(f) = -6*p(f) + 5*y(f). Give j(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*m - 206*m + 1392 = -214*m for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82661563?\nAnswer: 23, 3593981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 86*b**2*c**2 - 222*b**2*c*z - b*c*z - 563*b - 14*c**2 wrt b.\nAnswer: 172*c**2 - 444*c*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1\/2, 59, 6780 in descending order.\nAnswer: 6780, 59, 5, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w + 2*g - 2, 4*w = g + 4*g + 1 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 47496643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, s: 2, z: 2, p: 1, g: 1}. Give prob of sequence px.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from audbt. Give prob of picking 1 u and 1 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 980149533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 948?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*l**2*n*y - 1707*l**2*y - 2*l**2 - n**2*y - n**2 - 54*n wrt n?\nAnswer: 3*l**2*y - 2*n*y - 2*n - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 2:15 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4135 - -12407\/3. What is the third smallest value in 211, -2, j?\nAnswer: 211","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18833 - -18835. What is the closest to 12 in -4, -8, p, 1\/8?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 4*z**2 + 2*z - 2. Suppose 28*u - 31*u = 9. Let r be q(u). Solve 8 = n - 0*m + m, 3*n = 2*m - r for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 10:26 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 87, 683, 2281, 5379, 10475?\nAnswer: 18067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/4 - 27*w**2\/4 + 51*w\/4 - 25\/4.\nAnswer: (w - 25)*(w - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, q: 3, z: 5}. Give prob of sequence ze.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 1015859.\nAnswer: -2031718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 3*o - 6. Which is the second smallest value? (a) o (b) -2 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and 0.496.\nAnswer: 0.096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11.882 + -13.9328. Let h = b + -0.0332. Let a = -2 - h. What is a rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8 - 36441205?\nAnswer: -36441212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 748604 and 5760996?\nAnswer: 132502908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/(-48)*1\/(-13))\/(3\/(-6)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -636672 divided by 39792?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 7:32 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -167723100 by -931795.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 AM and 10:32 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1362500857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -4*r - 2*z - 2*z, -r + 3*z + 6 = 0. Let u be r*10*1\/(-6). Let j = 17 + -8. Solve 3*y - u*p - j = -y, 2*y + p + 13 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 4 + 14. Let a be (r\/(-56))\/(-15 + (-472)\/(-32)). Find d, given that 0 + 0*d + 1\/7*d**2 - a*d**3 + 2\/7*d**4 = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20307110.24 rounded to the nearest one hundred thousand?\nAnswer: 20300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + 42*v - 73. What is o(-22)?\nAnswer: -513","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -99, -363, -803, -1419?\n\"Answer: -88*q**2 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25323657?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/1902019 = 4\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4420*q**4 + 15120*q?\nAnswer: -53040*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1886867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*v + 145*v = -277*v - 9979 - 9557 for v.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98\/3 + 112\/3*y - 32\/3*y**2 = 0. What is y?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggv. Give prob of picking 2 g.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 679 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a**5\/7 + 76*a**4\/7 - 264*a**3\/7 + 376*a**2\/7 - 244*a\/7 + 60\/7 = 0.\nAnswer: 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-85 - 3)*((-893)\/188)\/(1\/24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*x + 883 = 707 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*l - 91 = 83 + 50 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -55, 7, 0 in increasing order.\nAnswer: -55, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-308)\/(-2079) + (-1875)\/81?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 7:53 PM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/229 + 468\/1145. Factor 2\/5 + y*b**3 - 2\/5*b**2 - 2\/5*b.\nAnswer: 2*(b - 1)**2*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1866119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9284 - 10390 = -553*i. Solve m - 3\/2 - m**3 - 1\/2*m**4 + 2*m**i = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101211111112 (base 3) to base 13.\nAnswer: -76097","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -7*f**2 + f - 9. Let o(b) = -b**3 + 12*b**2 + 29*b - 11. Let r be o(14). Let q(j) = 4*j**2 - j + 5. What is r*y(n) + 5*q(n)?\nAnswer: -n**2 - 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-6 + 13) - -15\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - (3 + -3) - -12. Let o = -7 + n. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/12*(-309)\/2 - (20 - (-785)\/(-40)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15204 or 170?\nAnswer: 170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k. Let y = -13 + 18. Let g(z) = -z - 2*z + y*z. Give g(u(d)).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22316, -44580, -66796, -88970, -111108, -133216, -155300, -177366?\nAnswer: -199420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0078 plus 0.2?\nAnswer: 0.2078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 3.6. Let r = 5 - 5. Let i = r - -0.2. Sort j, 2, i in decreasing order.\nAnswer: 2, j, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166341?\nAnswer: 3, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 40\/860 - (-200)\/(-602)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 194*w**2. Let z(x) = -11473*x**2. Calculate k(z(g)).\nAnswer: 25536167426*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.8 and 0.74522.\nAnswer: -0.05478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -50b22c4 + 1?\nAnswer: -50b22c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2040 > 2038?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45708?\nAnswer: 2, 3, 13, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -z**3\/3 - 6*z**2 + 5*z + 65. Is i(-7) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3611 = 17*c - 891. Let h = -157 - c. Put h, -11, 4, -3 in ascending order.\nAnswer: -11, -3, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2257?\nAnswer: 37, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - 7*q - 1. Let h be v(8). Calculate the greatest common factor of 7 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 192?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 453096 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-63) - ((-2736656)\/(-125580) + -22)\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 251521545?\nAnswer: -251521542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39195999?\nAnswer: 3, 17, 241, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 12 = -0. Suppose 0 = 3*k - 2*u - 2*u - 190, -t*k + 205 = -u. What is the greatest common factor of 14 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 5*d**2 + 5*d - 9. Determine v(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 5.1. Let v = i + -0.4. What is the third smallest value in v, -0.2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (5 + -2 + 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -16260635?\nAnswer: -1\/3252127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2982*p + 4646*p + 774*p - 1119*p + 1509*p to the form u + h*p and give h.\nAnswer: 8792","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -735 - -5147\/7. Which is smaller: b or 88?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -57 (base 9) to base 3.\nAnswer: -1221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 38*v**2 - 163*v - 74. Determine g(33).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.929 + -7.219. Let o = u - -10.285. Let j = -0.095 + o. What is j rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 102.034 + -0.034. Let k = t - 102.54. What is k rounded to 0 decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 352870386 a multiple of 649?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -38566\/7 >= -5509?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8 - -5)\/((-6)\/4). Suppose -o*r = r - 54. Let x(i) = -i + 23. Let g be x(6). Which is greater: r or g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1909524453 to 3 dps.\nAnswer: 0.191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 12642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 233?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12317, -24616, -36915?\nAnswer: -49214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -26.96, 0.2, 3\/4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-5*-6*(-1*sqrt(20)*-4)\/(-2*sqrt(90)).\nAnswer: 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 91\/9. Let l = 2 - -5. Let t(o) = -o + 5. Let s be t(l). Which is the third smallest value? (a) s (b) u (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1094.2 + 2284. What is i rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22952 + 22951.8. Suppose d = -d - 3*m - 11, 0 = 3*d - 5*m + 45. Let c be 57\/60 + 2\/d. What is the biggest value in 0, c, x?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s = -11*s + 18672 - 18243 for s.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) -2 (c) 0.5 (d) 0.1 (e) 50\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -24. Let m = v + -7. Solve 5*g + 0*g = -m for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62316 and 9480687.\nAnswer: 1731","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 39923 (base 14) to base 9\nAnswer: 235377","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 186187151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13\/48 + 1\/16. Let n = -200 - -200.2. What is the second biggest value in u, n, -1\/2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 16*s + 143. Let r(c) = -17*c - 156. What is -6*o(g) - 5*r(g)?\nAnswer: -11*g - 78","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -526212512 divided by 131553128.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8993, 17985, 26977, 35969?\n\"Answer: 8992*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 13*m - 14. Is a(7) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -43, 68, 371, 962, 1937, 3392?\n\"Answer: 16*r**3 - r - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/5*10\/(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 561081.9 weeks to microseconds.\nAnswer: 339342333120000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-51 - -41)) + -1 + 73 + (-4 - -16)\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 827288 is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/3)\/(230\/(-365)). Let h = v + 2\/69. Is 2\/37 at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 94 in -3\/2, 2\/433, 0.4, 5, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -899*r + 1793*r = 897*r - n - 13, 3*r - 5*n = 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -168*y - 11. Is j(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v - v - 2*v - 2*v - 3 + 3 + (-3*v + 2*v + 2*v)*(1 - 2 - 1) - 4*v + 2 - 2 + v - 2*v + 0*v to the form k + o*v and give o.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -524 + 515 + (-11)\/(-1). Solve 0 = s*m - 35*m - 99 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25560 and 25560.\nAnswer: 25560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 70.9 - 70. Which is smaller: a or 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (892*c + 6*c**2 - 4*c**2 - 1035*c)*(4 - 4 - c**2).\nAnswer: -2*c**4 + 143*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 4*a = 5*x - 28, 2*a = -8. Solve 4*d = -p + 9, x*p - d = 2*d - 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -122834 <= -122837?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10037909 or 10037901?\nAnswer: 10037901","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 258.16 to 0 dps.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/9)\/m*m*m*m\/(m*m**(-1\/3))*m)\/(m**7\/(m*m**0)) assuming m is positive.\nAnswer: m**(-31\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 26433 (base 11) in base 12?\nAnswer: 19a50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 2621*w - 16037*w + 1074*w.\nAnswer: -17584*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + 1746. Let a(v) = 925*v**2. What is b(a(z))?\nAnswer: -855625*z**4 + 1746","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-5)\/(-20))\/(4\/48) - 0. Solve 2*w - 28 = -g*w - 3*n, 0 = -w + 2*n + 3 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 6*t + 306. Is t > -52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mnmxmiiigiggxii. Give prob of sequence xg.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**3 - 13*y**2 - 12*y - 4. Does 7 divide a(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -7*c**2 + 483*c - 474. Let g be w(68). Solve g*x - 1 = 5, -5*h = x - 33 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -4\/3 (b) 2\/7 (c) 4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34346120*s**3 + 36209122*s wrt s?\nAnswer: 206076720*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1374 - 438. Let i = p - 935. Let o = -3.2 + 3. What is the fourth biggest value in i, o, -4\/3, 4?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(1\/7)*v*(v*v**(-4))\/v)\/(v**(2\/3)\/((v**(-2\/9)*v*v*v)\/v)) assuming v is positive.\nAnswer: v**(-65\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 0, -156.\nAnswer: -156, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2 = -9*n + 7*n, -2*a = -2*n - 10. Suppose a*w - 20 = -2*w. Solve 3*p + w = -p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*q - 75 = 15 + 36 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 25302.951 months?\nAnswer: 210.857925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -20 - -45 - (-22 - -18).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -75.32303945 to zero dps.\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 889 is divided by 259?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4123, 4125, 4127?\nAnswer: 4129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -64 + 73 + -4 + 13 - 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 2\/3, 11.9, -58, -2 in ascending order.\nAnswer: -58, -3, -2, 2\/3, 1, 11.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s**2 + 32*s + 137. Determine d(-4).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 583486 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5895671 weeks in milliseconds?\nAnswer: 356570182.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3 = -11. What is the lowest common multiple of ((-1)\/3 - 0)\/(1\/(-6)) and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 163 + 29?\nAnswer: 18c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -71?\nAnswer: -21.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*o - 280 + 313 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-560)\/((-7520)\/(-94)) - (-447)\/(-384)*-6?\nAnswer: -1\/64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)\/(sqrt(27)\/sqrt(9) + sqrt(3)))\/(sqrt(44)\/(3*sqrt(4))).\nAnswer: 3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1))**(-50)\/(h\/(h\/(h**(2\/9)*h)))**(-31) assuming h is positive.\nAnswer: h**(791\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 10482 = -2*w, -3*j + 11*w = 13*w - 7879. What is the thousands digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 18 = -27. Suppose 8*i = w*i - 1. Suppose 5*r + 5*n + 3 + 2 = 0, 0 = n + 3. Solve 0 = v - 3, -v = s - r*s - i for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -6 - (6 + 2 - 0)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21\/6908693 or 0?\nAnswer: 21\/6908693","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.9653 + -2.9653. What is the nearest to h in 1, -0.4, 23, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33053.\nAnswer: 33053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i**2. Let g(v) = -v**3 - 6*v**2 + 9*v + 10. Let n be g(-7). Let w = 7 + n. Let m(u) = 2*u - u - 3 + w. What is h(m(b))?\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-5)*(-20 + 0). Let v = u + 28. Let h be (-84)\/v + (-3)\/(-15). Which is the second biggest value? (a) 4\/5 (b) -10 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6935 divided by -6?\nAnswer: -6935\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9\/6)\/((-3)\/(-6)). Suppose 30 = 4*b - 5*v, -s*b - 3*v - 31 = -8*b. What is the tens digit of b\/(-2)*(-20)\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(170) + sqrt(170))*-4 + sqrt(170))\/(sqrt(640) + sqrt(640)*2).\nAnswer: sqrt(17)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 3*c + 1290, -4*z + 4*c + 920 - 3480 = 0. Let i be (z\/856)\/((41 + 1)\/2). What is the smallest value in 2, -4\/9, i?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 509 a factor of 8972919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(20\/(-136)) - 0. Find the second derivative of 10*a + 2*a + 49*a**3 - n*a**3 wrt a.\nAnswer: 90*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**2 + 23*u + 6.\nAnswer: -(u - 6)*(4*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 v, and 1 j when three letters picked without replacement from hgjzgvh.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 124637 (base 9) to base 15\nAnswer: 17607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q - q + 5 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.901 (b) 4 (c) -1\/8 (d) 2\/17 (e) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7882*h**2*t**2 - 11720233*h**2*t - 410*h*t**2 wrt t.\nAnswer: 15764*h**2 - 820*h","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -14988, -15055, -15096, -15099, -15052, -14943, -14760?\n\"Answer: 2*p**3 + p**2 - 84*p - 14907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2096717*x**6 + 79613*x**2 + 2*x - 3 wrt x.\nAnswer: -251606040*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5510 - 11019\/2. Let d = 17 - 15. Sort -2, d, v.\nAnswer: -2, v, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-14) + (-28)\/49. Is o > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 - 16.3. Let z = t + 8.1. Let k = 8.7999949 - z. Round k to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/206621 or 1?\nAnswer: 4\/206621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (7 - (-5 - -3))*1. Let k = z - 7. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 - -0.3. Let n = 1.49 + -0.09. Let u = -1 + n. Put -0.3, u, y in decreasing order.\nAnswer: u, y, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k + 3. Let n be v(0). Suppose 5*t + 3 = a + 1, -4*a + 5*t = 7. Let d(s) = s**2 + 8*s + 16. Let f be d(a). Solve 0 = 2*o - f - n for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 5*s**4 + 0*s + 21074*s**2 + 2*s - 7*s**4 - 21116*s**2 as h*s**4 + o + a*s**2 + k*s**3 + x*s and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 421.8 + -422. Let n = 8 - 11. Which is the closest to -2\/5? (a) -1 (b) i (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 - -40. What is the remainder when o is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7078718 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23168.7 + 23169. What is the nearest to -1\/5 in a, -11, -1.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 153\/2725 - -9415917\/29975. Let v = l + -314. Find the common denominator of v and -2\/39.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + 6*i + 4. Let b(h) = -h - 4. Let k be b(-9). Let a be ((-2)\/k)\/(1\/15). Let s be (-68)\/(-11) + a\/33. Give l(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -40 less than 434?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7703630017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 106488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-10)\/u)\/u**8)**(2\/11) assuming u is positive.\nAnswer: u**(-38\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of -k**5\/20 + 2*k**2 - 2486*k. Calculate z(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 20*z - 305. Let l be o(21). Is 110 bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14707586.\nAnswer: 2, 593, 12401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 114061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of c*f**3*t - c*t + 62*c - f**4 - f**2*t wrt f?\nAnswer: 3*c*f**2*t - 4*f**3 - 2*f*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-294 - -184)*16\/(-40).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*0\/(-1) - 0. Let j(o) = -o**2 + 6*o + 1. Let d be 3 - (-6 + (2 - -1)). Let g be j(d). Which is the closest to -2? (a) g (b) -2\/11 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 157200 and 15720.\nAnswer: 157200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - 5*y**2 - 14*y + 6. Calculate t(-3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1389 a factor of 221139912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 176144?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1405 + 561 - 829)*(2 + 0 + 0 + w) to the form u*w + m and give m.\nAnswer: -3346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6255 divided by 5?\nAnswer: 1251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 35237216.5 rounded to the nearest 1000000?\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 4 - 3 + 4 - 17*f - 4*f**2 + 3*f**2 - 13*f. Is 45 a factor of u(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 118 + -1533\/13. Put -2\/3, q, 0.1 in descending order.\nAnswer: 0.1, q, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 40448 and -0.5.\nAnswer: -20224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 16308, 16309, 16310, 16311?\n\"Answer: x + 16307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8696180 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 5*p**2 - 859*p - 9805. Determine w(-13).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 6*z - 3*z + 73 = 0, 2*c - 122 = -2*z. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.529238*0.1.\nAnswer: 0.1529238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ayyyayyyyhyyaaeyeyy. Give prob of picking 1 e and 1 h.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-7)\/l**(1\/7))\/(l*l**(4\/15)*l*l*l**(3\/13)) assuming l is positive.\nAnswer: l**(-14524\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in eleven sevenths of a week?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b\/(b\/b**(3\/7)))*(b*(b**5\/b)\/b)\/b*((b\/(b**(-3)*b)*b)\/b*b)\/b**(1\/7)*(b*b**(-4))\/(b**(2\/7)*b)*(b\/(b*b**6*b))\/(b**(1\/5)\/b) assuming b is positive.\nAnswer: b**(-107\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2835.000001189 + 2835. Round b to 7 dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 9, 57, 107, 159, 213?\n\"Answer: s**2 + 45*s - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(19) - (sqrt(19) - (sqrt(1216) + 1*sqrt(1216) + sqrt(1216) + sqrt(1216)))) - 2*(5 + sqrt(76)\/sqrt(4)))**2*-6.\nAnswer: -2992416 - 19440*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**4 + 167*t**2 - t - 569059 + 569059 - 2*t**3 to s*t + y*t**3 + l + q*t**2 + x*t**4 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -32038*l**2 + 965*l. Let a(r) = -199*r**2 + 6*r. Calculate 965*a(c) - 6*i(c).\nAnswer: 193*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -183 + 182. Let w = 4 + -1. What is the second biggest value in -3, q, w?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 25 and -0.3?\nAnswer: 25.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -16864.6126 minus 3?\nAnswer: -16867.6126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4212228 and 555?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*281631.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 258 and 384.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61455, 245794, 553017, 983118, 1536091?\nAnswer: 2211930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4627413 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-3))\/(244\/(-366))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/sqrt(99) - sqrt(70)\/(sqrt(20)\/sqrt(2) + sqrt(10)))**2.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + 8*h + 10. Let n be g(10). Let a be (-6 + 4 + -3)*(-6)\/(-10). Let l be -9 + 6\/(1 + a - 0). Is l < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10451 + -3625. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (18\/21)\/((-175)\/(-1180)) + (-60)\/10 and 103\/882.\nAnswer: 4410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -1 + (8 - 4) + -6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -21*t**2 - 55. Let q(h) = -h. What is q(l(m))?\nAnswer: 42*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 8:26 PM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -4 + 0*o + 1\/2*o**2. Let n(z) = -4*z**2. Calculate n(a(k)).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/1 + (-5 - 17) + 2. Let g be 18\/o*-1*21. Solve 0*s - 3*s + d = -g, s - 14 = 3*d for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of u**4\/18 - 41*u**3\/9 + 60*u**2 + 3063*u. Solve z(l) = 0 for l.\nAnswer: 5, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -759 and 11.\nAnswer: -8349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 448\/(-49) + 12\/(-14). Let p(z) = -2*z - 10. Calculate p(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**5 + 206*y**4 + 204*y**3.\nAnswer: 2*y**3*(y + 1)*(y + 102)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = l + 224, -71*l - 5*x = -75*l - 881. Is l at most -3\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 680\/(-24)*(-21)\/35.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 6*c + c + 41 = 0, x - 25 = 3*c. What is the remainder when x is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiimmmmiimmimmmii. Give prob of sequence iim.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -37*n**3 - 2999*n**2 - 43748*n - 2356 = 0. Calculate n.\nAnswer: -62, -19, -2\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 r when four letters picked without replacement from xkzhrkkzxxx.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 10*v**2 - 41*v + 37. Determine j(13).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**3 - 2*g**2 + 3*g + 638. What is the tens digit of c(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1bb7c6 (base 14) in base 9?\nAnswer: -1771846","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + 11*s**2 - 19*s - 73. Let k be c(-5). What is the remainder when (k\/(-28))\/((-7)\/49) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 29\/5 of a micrometer?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 328*m + b - 89998 = 323*m, -3*m + b = -53986. What is the thousands digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65426, -133378, -201330, -269282, -337234, -405186?\nAnswer: -473138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 - 8*p + 6. Let x(c) = -c**2 + 9*c - 7. Let m(u) = -6*x(u) - 7*z(u). Suppose -3*i = 3*a - 5*i + 10, a - i + 4 = 0. Determine m(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -42\/19259 and -23\/95?\nAnswer: 1829605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*l + 7752 = -28*l. Let v = -84 + 155. What is the remainder when l is divided by v?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11681190 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: Let p be 1 - 2*2\/(-4). Suppose 0 = a + w - 6, 0 = -0*w - p*w + 8. Let t be -4*(-1 + (-1)\/(-2)). Solve 0 = -a*h - t for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4 (b) -0.1 (c) -6\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + f + 7, 2*b - 2*f + 0*f + 6 = 0. Let g(l) = l**2 - 5*l. Let s be g(6). Let i = s + b. Sort 3, 2, i in increasing order.\nAnswer: i, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(3) + (-4 + sqrt(3) + 1 - sqrt(3)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(-44) - (-101)\/11. Solve 2*l + t + d = -0*l, 3*t = 3 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -1, 749, -4?\nAnswer: 749","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 41462087.6 rounded to the nearest 10000?\nAnswer: 41460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4962118073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12762*t + 5386*t + 157*t - 11167*t - 10488*t)*(-t - t + 4*t).\nAnswer: -57748*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 186077.115 minutes to weeks.\nAnswer: 18.46003125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3525*b**3 - 3*b**2 - 11*b - 9. List the prime factors of q(-1).\nAnswer: 2, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 7*n - 3. Let v be z(-8). Let f = v + -3. What is the remainder when 5 is divided by (f\/3)\/((-6)\/(-27))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 267 + 5*w - 267. Let a(d) = 426*d + 4*d**2 - 426*d. What is i(a(b))?\nAnswer: 20*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 1, 729 in ascending order.\nAnswer: -3, 0, 1, 729","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -494, -1963, -4412, -7841, -12250?\n\"Answer: -490*y**2 + y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of 2*a**3\/3 + 3*a**2 + a - 1. Let c(w) = -w**3 + 5*w**2 - w + 1. Suppose -4*p = -0 - 20. Let j be c(p). Calculate v(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/3 (b) -41 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = 2*q + q - 5*o, -2*q - 3*o - 16 = 0. Let h = 28 - q. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1715) + (sqrt(1715) - (sqrt(1715) + (sqrt(1715) - sqrt(1715)*-1)))*3)*-4)\/(6*(sqrt(168)\/sqrt(3))\/sqrt(8)*-3).\nAnswer: -70*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12376888 is divided by 3304?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5*k + 0 - 4 = 0, -12 = 4*c + 2*k. Let l(m) = 29*m**2 - 2*m - 1. Let u be l(c). Suppose -5*g + 287 = -3*b, -4*b - 25 = 2*g - u. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.12? (a) 72839 (b) -3\/5 (c) 0.1 (d) -1 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 20*y**2 - 9*y - 17. Let u = 15500 + -15498. Let a(g) = 5*g**2 - 2*g - 4. Calculate u*h(x) - 9*a(x).\nAnswer: -5*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 6:09 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -5*f**3 - 23540*f**2 - 23525*f + 47070 = 0.\nAnswer: -4707, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a kilometer in meters?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h - 17*z - 100, 5*h + 5 = 738*z - 734*z for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - 8*h + 1. Let f(q) = 2*q**2 + 17*q - 2. Suppose 33 = -3*t + 3*m, 3*t - 2*t - 3*m + 21 = 0. What is t*f(k) - 13*c(k)?\nAnswer: k**2 + 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 264832\/5 - 2926307\/55. Let a = u + 239. Let q be -2 - (-1 + (-5 - -3)). Which is greater: a or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/18*4*2\/(-4).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17314983 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*y**4 - 29*y**2 + 11*y**4 - 14*y**4 + 5*y**4 wrt y?\nAnswer: 240*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10512.5 + -10512. Let f = -1\/77 + 23\/77. Which is the second smallest value? (a) f (b) -13 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 379275445 and -14.04?\nAnswer: 379275459.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24*q**4 + 314*q**3 + 15951*q**2 - 1 wrt q?\nAnswer: -576*q + 1884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3\/3 - 1477876*c**2\/3 - 20692616*c.\nAnswer: 4*c*(c - 369511)*(c + 42)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33*g**3*q*z + 82*g**3*z**3 + 18*g**2*q*z + 35*g*q**3*z**2 + g*q**3*z wrt z?\nAnswer: 492*g**3*z + 70*g*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 1 = 2*w. Suppose -w*m = -7*m + 4. Suppose -2*f = -m + 3. Let s(n) = -5*n**3 - n**2. Give s(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/9*-3)\/(10\/150). Suppose 0 = -4*u - 4*y + 4124, 8*y = r*u + 7*y - 5143. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**3 + 1743*n**2 - 197358*n + 387768.\nAnswer: -3*(n - 428)*(n - 151)*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of 4*f**5\/5 - 29*f**3\/6 + 11*f. What is the second derivative of z(i) wrt i?\nAnswer: 96*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -380.35+-500\nAnswer: -880.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4287559\/497 + -12119\/994. Suppose -5*r - 43207 = -0*r + 2*u, 5*r + 3*u = -43203. Let l = k - r. Find the common denominator of 55\/4 and l.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 14*u - 2. What is n(3)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (198385\/1925 - 70) + 2\/(-35).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 120 + 18213?\nAnswer: 18333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 - 0.6. Let g be (318\/(-60) - -5)\/(144\/(-120)). Which is the nearest to 3? (a) r (b) g (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -299 = -33*q + o, 12728*q = 12725*q + 4*o + 35 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (143 + 114 + 134)*(1 - 1 + 2)*(4 - p**5 - 4) - 7*p**3 + 4*p**5 + 7*p**3.\nAnswer: -778*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = -199*w + 212*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1371069305?\nAnswer: 5, 274213861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 0 = 2. Let u = 93 + -83. Let j = -9.8 + u. Which is the third smallest value? (a) v (b) j (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 599613603.\nAnswer: 3, 199871201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) 0.05 (b) 5 (c) 4 (d) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 70 (c) 2\/7 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + g = 2, 0*f = f - g + 4. Let b = 2.4 - 3. Let q = -0.8 - b. What is the nearest to 2 in 1\/3, q, f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0752755 - 409820.9247245. Let y = 409820.579953 + c. Let b = -0.42 - y. Round b to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38637a4 (base 12) to base 6\nAnswer: 1033245124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -7*b. Suppose 2*c = n + 58, -3*c + 88 = -b*c - 2*n. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195\/11513054 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**2 - 259608*z - 3894570 = 0.\nAnswer: -15, 129819","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 5*u - 1. Let r(j) = -11*j - 9*j + 6*j + 2. Let x(t) = -7*l(t) - 2*r(t). Let p(f) = -20*f + 8. Give -5*p(w) + 14*x(w).\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of 1\/2*j**6 + 0*j**3 - 7\/2*j**5 + 0*j + 176*j**2 + 0*j**4 + 0. Find the third derivative of p(h) wrt h.\nAnswer: 360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73996637?\nAnswer: 11, 13, 517459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 387371843?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4762099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.4, -0.5, -6\/101 in ascending order.\nAnswer: -3, -0.5, -0.4, -6\/101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, e: 1, a: 2, z: 1}. What is prob of sequence znan?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -4, 1\/27, 0.5, -1\/1262, 3?\nAnswer: -1\/1262","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and (-45)\/(-6)*(-4)\/(-6).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*o + 298*o - 189 = 263. Suppose 2*n + 2*n = -2*f + 22, -3*n = -4*f. Suppose 0 = n*b + b, o*h - 10 = -4*b. List the prime factors of h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 8:24 AM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 342352 (base 9) in base 3?\nAnswer: 101102101202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 322.\nAnswer: 5\/322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express w - 28*w**4 - 36 + 35*w**4 - 18*w**4 in the form c*w**2 + g*w + i*w**3 + v*w**4 + q and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 11511*o + 23022. Calculate h(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 20*f**2 + 21*f - 14. What are the prime factors of h(15)?\nAnswer: 2, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -2*w + 1135, 3 - 1 = -2*k. What are the prime factors of w?\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 469771.\nAnswer: 29, 97, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1957\/7 - 280. Which is the fourth smallest value? (a) 0 (b) -0.4 (c) v (d) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of 0*z**2 - 283*z - 2 - 1\/4*z**4 + 0*z**3. Let a(o) = -16*o. Determine g(a(i)).\nAnswer: -768*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.29 + 0.39. Let m = 0.15 + -0.45. Let y = 3.7 - m. Which is the third smallest value? (a) 3 (b) n (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**9\/b)\/(b*b**(-17)))\/((b*(b*b**(-1\/12))\/b*b)\/(b\/(b\/b**2))) assuming b is positive.\nAnswer: b**(289\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(9\/8))**(-14) assuming l is positive.\nAnswer: l**(-63\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oxwhwaxt. Give prob of picking 1 h and 1 w.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1617 and 158?\nAnswer: 1775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w = 20 + 6. Let i(t) = -t**3 - t**2. Let f(g) = g + 0*g**3 + 3*g**3 + 2*g**2 + g**2. Give w*f(j) + 4*i(j).\nAnswer: 2*j**3 + 2*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4430 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 5*i + 33 = 9*i, 3*i - 6 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 56\/9 + (-2)\/9 + 39437194. Suppose 0*x + 4*u + 11637200 = x, -3*x + 34911600 = -4*u. Let s = y - x. Round s to the nearest 1000000.\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705\/1974*(-290)\/(-25)*-21?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 412, 811, 1236, 1699, 2212, 2787, 3436, 4171?\n\"Answer: 2*h**3 + h**2 + 382*h + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-191*c**2 - 29*c**2 - 64*c**2 + 78*c**2 - 214*c**2)*(2*c - 4*c + c).\nAnswer: 420*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*a = -4 - 81 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -86*d + 140. Let t be y(-7). Suppose -121*p = -122*p + t. What is the greatest common divisor of p and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -847309, -1694637, -2541957, -3389263, -4236549, -5083809?\n\"Answer: o**3 - 2*o**2 - 847329*o + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b + 5, -2*c = -9*b + 7*b + 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 4*m**3 - m**2 + 2*m - 1. Let f(j) = -j**2 - j - 2. Let n be f(-3). Let y be (-3)\/(-6) - 4\/n. List the prime factors of l(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000827929178 to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 3*r + 7, -5*p - 23 = 3*r - 1. Are 2\/45 and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1825 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 15 - 49. Let h be -2*(3 - -3) - -7. Let t = a - h. Is t a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c - 3*u + 5 = -11*c, -c + 4*u - 9 = 0. Let s be (18\/(-66))\/(c\/11). Solve 5*m = 3*l - 10, 3*m = -3*l - s - 3 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**2 - 2*u - 6. Let j be o(3). Find the common denominator of (-143)\/j + 42\/(-70) and 54\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, -0.4, 4, -2, 2.\nAnswer: -2, -0.4, 2, 4, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1*-2*(sqrt(128) + 1*sqrt(128)*-2 + -3 + (sqrt(128) - ((sqrt(128) - 1*sqrt(128)) + sqrt(128))) + sqrt(128)))**2.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 803581*c**2*k**2 - 45940*c*k + k**2 wrt c?\nAnswer: 1607162*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1002 + 1003. Let m(c) = c**2 + 5*c + 4. Let y be m(-4). Solve -b + n = -y for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - -3 - 10 - -7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + y = 5*k + 5, 0 = k - 4*y - 15 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8798, 10462, 13182, 16952, 21766?\nAnswer: 27618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42609 + -35511. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*q - 4*y + 12, -36*q + 35*q - 593 = 30*y - 26*y - 560 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.68 - -178.68. Let s = 177.974 - f. Round s to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22234603?\nAnswer: 89, 249827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 190 + -185. What is the second derivative of 81*a + 209430*a**3 + 118*a**i + 2 - 209430*a**3 wrt a?\nAnswer: 2360*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dsp when three letters picked without replacement from kpssssdpaasska.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 b when two letters picked without replacement from bbqbqqqqbbqqb?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of 5*q**3\/6 + 15*q. Let b(m) be the second derivative of 11*m**4\/12 + 41*m. Give y(b(w)).\nAnswer: 55*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does -79103\/10525 = -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -4*l + 48. Let o(m) = -3*m**2 - 16*m - 7. Let f be o(-6). What is the tens digit of b(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3898*b + 131413 = 45657 for b.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 954 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 the square root of 906173923 to the nearest integer?\nAnswer: 30103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/408 and 79\/8?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 6*y**2 + y - 1. Let u be x(6). Let f be (2\/u)\/(-2) - 2106\/(-130). Let k = -13 + f. Put -2, 1, k in ascending order.\nAnswer: -2, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1412 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (102\/68)\/(27\/52). Factor -8\/3*s - 4\/3*s**3 + j*s**2 + 2\/9*s**4 + 8\/9.\nAnswer: 2*(s - 2)**2*(s - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 932 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of q**6\/360 + q**5\/90 + q**4\/72 + 17*q**2\/2 - 26. Let k(m) be the second derivative of o(m). Factor k(v).\nAnswer: v*(v + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 134444 and 174.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 81 - 57. Let j be -2 + 4 + 3 - (-10 + -3). Suppose -176 = -4*h - j*h. Calculate the greatest common divisor of h and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 3 + 1)*(0 + 1 + 2)*(-2*z + 3*z - 2*z) - 106*z - 1079*z + 364*z to the form v + r*z and give r.\nAnswer: -827","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 11:11 PM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3472)\/1456)\/((-5)\/(-195))?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.5, -0.2, -5, 376, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -20. Let i(g) be the second derivative of g**4\/12 - 5*g**3\/6 + 2*g**2 + g. Let w be i(r). Solve 4*t = -2*c + 5 + 9, w = -t - c + 2 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -418976, -1676525, -3772432, -6706691, -10479296, -15090241, -20539520, -26827127?\n\"Answer: k**3 - 419185*k**2 - k + 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 279687?\nAnswer: 3, 93229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -s**4 + 643*s**3 - 62488*s**2 + 836400*s + 51270912 = 0.\nAnswer: -21, 68, 528","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -w**3 + w**2 - w - 2. Calculate d(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = o + 15. Let a(d) = d**3 - 7*d**2 - 14*d - 4. What is the hundreds digit of a(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11525*c - 3 + 11540*c + 3.\nAnswer: 15*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 95876081 and 1?\nAnswer: 95876081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/27 + 309\/(-54))*-118. What is the second derivative of q*l**2 - 649*l**2 + 2*l**4 - 3*l - 9*l wrt l?\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 4 = -2*w + 2*z, 5*z + 22 = -3*w. Which is the nearest to 9? (a) 0.2 (b) 2\/3 (c) 0.1 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 390093 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -12, -19017, -1.4, 11?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and (-2)\/(0 - 4\/22)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.5 - 0.3. Let j = 0.3 + q. Let n = j - 0.494. What is n rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 5*f**2 + 13*f + 170. Calculate i(-9).\nAnswer: 458","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28*c**2*m**2*z + c**2*m**2 + 4*c**2*m*z**2 + 3*c**2*z**2 + m**2*z**2 - 4*m**2*z + 2*m*z wrt z?\nAnswer: 8*c**2*m + 6*c**2 + 2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -3*s - 256 + 260, 4*b = -b + 2*s - 12 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of -5\/6*h**3 + 0 + 1\/2*h**2 - 115*h. What is f(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 1\/5 (b) 4 (c) -4\/125 (d) -9 (e) -0.24\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2*q = -0 - 4, -q = 2*r. What is the closest to 1\/3 in r, 2\/7, 0.5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-44)\/(-16) + (10\/5)\/8. Solve -s*r + 4*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 5*t - 5 = f, 0 = -5*f - 2*t + 11. Find the third derivative of 9*l**2 + 5*l**4 - l**2 - 25*l**4 + 2*l**f wrt l.\nAnswer: -480*l + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3758 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44 + 58. Suppose 141 = 5*a + 1. Calculate the highest common divisor of p and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*a + 55 + 5*a - 12*a - 5*a as s + x*a and give s.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bqz when three letters picked without replacement from zwgbq.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = 3*u + 6. Suppose -u*y = -22 - 30. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 88*v**3 - 16*v**2 + 8*v - 8. Let p(h) = 9*h**3 - 2*h**2 + h - 1. Let z(k) = j(k) - 8*p(k). What is z(1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 6*p**3 - 12*p**2 - 5*p - 1. Let v be (-19)\/(-4) - (-22)\/88. Let z(s) = s**3 - s**2 - 2*s. Let u(x) = v*z(x) - d(x). Let h = 8 - 2. Calculate u(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2119 is divided by 223.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2589*v + 23. Let n(k) = 432*k + 4. Calculate -6*d(u) + 34*n(u).\nAnswer: -846*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -616 + 620. Let f(u) = -u - 1. Let g be f(-3). Suppose 0 = -g*m + 6*m - 40. What is the greatest common divisor of n and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4340 + -7672?\nAnswer: -3332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1654748615?\nAnswer: 5, 13, 79, 322249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/6 + 9882\/56. Let b = u + -1356\/7. What is the common denominator of b and -54\/5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 511261559?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56, 113, 172, 233, 296?\nAnswer: 361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 169 = 149. Let m(y) = -4*y**2 + 5*y - 1. Let s(r) = -r**2 + r + 1. Determine g*s(k) + 2*m(k).\nAnswer: 2*k**2 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 j when three letters picked without replacement from {j: 2, w: 1, l: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10348704*q**2 + 6174931*q - 2 wrt q?\nAnswer: 20697408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, o: 1, w: 2, x: 3}. Give prob of sequence owd.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6159 is divided by 137.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of w**6\/30 - 13*w**5\/15 + 5*w**4\/4 + w**3\/2 + 13*w**2 - 1. Is r(15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-1 + sqrt(245) + -4 - (sqrt(20)*1 + -4)) + 5)**2.\nAnswer: -282 - 80*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jx when two letters picked without replacement from {j: 3, x: 7}?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 83929?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3239910 is divided by 404986?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*t*v**2 + 1825*t*v + 1222*v**2 wrt t?\nAnswer: 2*v**2 + 1825*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 9 = 27. Suppose -17 = -5*s + 3*j, 0 = 3*s - j - 2*j - l. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -j**2*o**3 + 487483*j**2*o**2*y**3 + 2*j*o**3*y**3 - 2*j*o**3*y**2 - 2*j*o**2*y**2 - 362*j*o + j wrt y.\nAnswer: 2924898*j**2*o**2 + 12*j*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6443737?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2095\/12 + -163. Find the common denominator of q and -119\/250.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 91944408?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y**2. Let w(c) = 121*c + 8. Let t(h) = 10 - 292*h + 709*h - 296*h. Let i(o) = 4*t(o) - 5*w(o). Give v(i(s)).\nAnswer: -29282*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/7, 4, -0.41?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2357.\nAnswer: 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 252*i**3 - 4161*i**3 - 3429*i**3 - i**3 - i + i + (2*i + 2 - 2)*(i - i - 2*i**2) - 5*i**3 - i**3 + 2*i**3 as t + a*i + m*i**3 + c*i**2 and give m.\nAnswer: -7347","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 z, and 1 u when three letters picked without replacement from {l: 1, z: 2, h: 1, i: 1, c: 2, u: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 36444 (base 7) to base 4\nAnswer: 2110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of 609*a**4\/4 - 748*a**3\/3 - 736. Find the third derivative of f(s) wrt s.\nAnswer: 3654","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (11 + -4) - -7?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -d + 4*h, -3*h - 11 = -7*d + 2*d. Let n(a) = a**3 - a**2 + 1. Let u be n(d). Let f be (121 + -1)*(u + -376). Round f to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/7 + 0\/2. Suppose b = 4*r - 0 + 8. What is r rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f*f**4*f)*f**(-1\/2))\/(f*(f**(-3)\/f*f)\/f*f**3) assuming f is positive.\nAnswer: f**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 741 + -325. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 4*b**2 - 5*b + 1. Let a = 1 - -4. What is the least common multiple of g(a) and 10*(0 + 1\/1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -56*g**3 + 3*g**2 + 3*g + 3. Is v(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 11*x**3 + 28*x**2 - 271*x + 183. Let c(f) = -6*f**3 - 14*f**2 + 134*f - 86. Let q(w) = -4*a(w) - 7*c(w). Solve q(y) = 0.\nAnswer: -13, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 105\/135 + (-2)\/(-9). Solve -4*i - l = -21 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34386800 rounded to the nearest one million?\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 5*h**2 + h + 1. Let f be o(-5). Which is bigger: -1 or f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -14*u**3 + 7*u - 1 + 4*u + 13*u**3 + 12*u**2. Is i(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 440.45 rounded to the nearest 10?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p + 31. Let n be r(-17). Let z be (100\/(-15))\/(2\/n). Calculate the highest common divisor of 30 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (2 + sqrt(320) + 1 - ((sqrt(320) - ((sqrt(320) - 2*sqrt(320)) + sqrt(320)) - sqrt(320)) + -4)) - (sqrt(320) + sqrt(320)*2*-6 + -1 + -5))**2.\nAnswer: 2688*sqrt(5) + 46276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6040757399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -5*n**2 - 83*n + 83*n. Let f(g) = -2*g. Determine v(f(w)).\nAnswer: -20*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*l - 3*n, -2*l - n + 3 = 4. Solve l = -6*h - 63 + 81 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 11:50 PM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-21)\/14*(-5)\/5*-4. Let n be (6 - 1)*(-10)\/25. Is (b\/21)\/(n\/28) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 20 (b) -0.3 (c) -110 (d) -19 (e) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272) + sqrt(272) + (-1*sqrt(272) - sqrt(272)))\/sqrt(8))\/(sqrt(98)*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 198870731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6053, 48366, 163211, 386858, 755577, 1305638, 2073311, 3094866?\n\"Answer: 6045*d**3 - 4*d**2 + 10*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -2459, -15, 8 in descending order.\nAnswer: 8, -1\/4, -15, -2459","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39346.\nAnswer: 2, 103, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -790*a**2. Let g(i) = -5*i**2. Determine b(g(o)).\nAnswer: -19750*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 + 3 + -2 + 1. Sort -4, 2, m in ascending order.\nAnswer: -4, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dkdjjddjddddlddlddkl. What is prob of sequence jlkk?\nAnswer: 1\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-3) + 41\/3. Suppose -4*r = -3*k + 5 - f, 3 = -k. Suppose 0 = -m - r + 13. What is the remainder when 37 is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 - 22 - (1 - -14).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 2 = v, 28 = 3*v - k - 3*k. What is the highest common divisor of 84 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35 - 27. Let t = o + -6. Let g be (t\/(-4))\/(3\/(-12)). Let w(a) = a**3 - 3*a - 1. Let x(b) = -2*b**3 + 4*b + 1. What is g*x(d) + 3*w(d)?\nAnswer: -d**3 - d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + (20 - (-8 - -12) - 32)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(((-15)\/75)\/(81\/(-45)))?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 92 or 2286\/137?\nAnswer: 92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 828.\nAnswer: 4140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -30*u + 5. Let m(h) = -31*h + 5. Let q(w) = 2*m(w) - 3*r(w). Is q(5) a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 128 = 3*o + v, -3*o + 3*v + 84 = 0. Let d be (12\/(-16))\/(1 - o\/24). Let j be 2\/4 - (d\/(-2) + 1). Solve k = -j*k + 10 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.15 - 10.85. Let v = -12 - o. Let y = -152 - -152. What is the nearest to 1\/4 in v, -0.1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 108225751?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/21 in 2, -3, 3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25090 by -6.\nAnswer: -12545\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 6 + 19 = 0. Suppose -d*c + 251 = -184. What are the prime factors of c?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 7*l**3 + 3*l**2 - 3*l. Let a(i) = -15*i**3 - 7*i**2 + 7*i - 1. Let y(d) = 2*a(d) + 5*h(d). Is y(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23459550 to the power of 1\/3, to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 22335155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 2*p + 1. Let s be -3 - (3*-1 - -1). Let y be v(s). Suppose y*o + 42 = 3*o + 3*c, 3*o + c - 36 = 0. What are the prime factors of o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 1. Let x = -3 - w. Let h = -14 - -14. What is the closest to x in h, -0.1, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/((0 - 0) + (-9)\/9). Let j be (-2)\/q - 4\/((-180)\/1569). Let m = j + -1217\/35. Sort 3, m, -2\/19, 0.1.\nAnswer: m, -2\/19, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/2 + 1087*a**2\/2 + 20052*a + 181926.\nAnswer: -(a - 1123)*(a + 18)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 4*x + 30 = 0, 5*v + 0*x = x - 27. Let a = -3 - v. Solve b + 2 = a for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/3 + 1280*a**2\/3 - 858*a - 1284.\nAnswer: 2*(a - 3)*(a + 1)*(a + 642)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102579.\nAnswer: 3, 31, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, -4, 3, 34 in descending order.\nAnswer: 54, 34, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 31756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 11:57 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -2\/5, 3\/4, 1, 5.\nAnswer: -2\/5, -0.2, 3\/4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 970*i + 2921*i + i**3 - 3*i**3 - i**3 + 1050*i.\nAnswer: -3*i**3 + 4941*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + 2*d - 2*d + (0*d + d - 3*d)*(-3 - 1 + 2))*(d**3 + 4*d**3 - 3*d**3).\nAnswer: 12*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1964, 2474, 2984, 3494, 4004?\nAnswer: 4514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 13, c: 3, o: 2}. Give prob of sequence coc.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*2*6\/4. Let n = -8 - u. Solve n = -2*z - 7 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 253844364 by -84614788.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7 - 0\/(3\/3). Suppose 0 = 2*p - 1 - b. Suppose -2*h + 2 = -0*h + 2*o, -p*h + 2*o + 10 = 0. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5933582282 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*y - 18 + 48 - 14 + 67*y - 14.\nAnswer: 111*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2, 8, 0, -28, -82, -168?\n\"Answer: -h**3 - h**2 + 16*h - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/(q*(q\/(q**(-4)\/q)*q)\/q*q))**(-43))**(4\/3)\/((q\/q**(2\/9)*q)**(-33))**(7\/3) assuming q is positive.\nAnswer: q**(4328\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*z**2 + 263*z - 550*z + 288*z.\nAnswer: 93*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 650*w**2 - 293*w**2 - 350*w**2.\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i - 11*i - 784 = -65*m, -4*i - 4 = 0 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(931))*-2 + -4 + sqrt(931)*1 - 4*((-4 + 2 + sqrt(931))**2 + sqrt(931))) + -2.\nAnswer: -3742 + 77*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 78 + -46. Suppose o = -2*b - 10. Let i = -3 - b. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -2. Suppose -3*n + 7*n - 8 = 0. Suppose 0*q + 10 = -n*q. What is the third biggest value in a, q, -0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 - f - 1. Let o(d) = -42*d**3 + 4*d**2 + 6*d + 6. Let m(h) = -o(h) - 5*u(h). List the prime factors of m(1).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 56805\nAnswer: -56805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -5\/23?\nAnswer: -5\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 1006111?\nAnswer: 5\/1006111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 504*t - 1022 = -76*t + 69*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 + 5. Let j be (-2 - -1)\/(q\/(-26) + 1). What is the greatest common factor of j and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -k**6\/60 - k**5\/6 - 7*k**4\/12 - k**3 - 3*k**2 + 28. Let c(h) be the second derivative of d(h). Solve c(z) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xot when three letters picked without replacement from {o: 1, e: 1, b: 1, t: 2, x: 2, j: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17064 and 10.\nAnswer: 85320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 162663855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.53381 millilitres to litres.\nAnswer: 0.00053381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -724572, -1449215, -2173858, -2898501, -3623144, -4347787?\nAnswer: -5072430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**3 - t**2 - 6*t - 8. Determine v(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2689, -13455, -31397, -56515, -88809?\n\"Answer: -3588*x**2 - 2*x + 901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74750.\nAnswer: 2, 5, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/6*((-2 - -282) + 2). Let d = -4 + 1. Is (-3 + (-16)\/d)*j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -441, -707, -971, -1233?\nAnswer: -1493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23452140?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h*l**3 - 676*h*l**2 - 9*h*l + 22*l wrt l?\nAnswer: 6*h*l - 1352*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*k, k + 4 = -r + 2*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 119, 121, 123?\n\"Answer: 2*w + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 + 41. Suppose z*a - 219 = -5*p - 59, -2*a + 126 = 4*p. Suppose -3*s + p = -8. Is 4 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/21 and -109\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2. Let x(l) = 451*l**2 + 97*l + 1. Let c(k) = -1804*k**2 - 437*k - 5. Let q(v) = -2*c(v) - 9*x(v). Determine q(t(u)).\nAnswer: -451*u**4 - u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/4073 or 4\/1445?\nAnswer: 2\/4073","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 133 + -5504?\nAnswer: -5341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -42, -76, -130, -210, -322, -472?\nAnswer: -666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/13286 and -145\/6?\nAnswer: 39858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -504 - -517. What is the third smallest value in 0.5, 0.25, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195 is divided by 62.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2849, 22857, 77163, 182915, 357261, 617349, 980327, 1463343?\n\"Answer: 2858*h**3 + h**2 - h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 1 (b) -90 (c) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o**2 - o**4 - 4*o**2)*(2 - 1 - 3) + 3*o**4 + 7*o**4 - 2*o**4 + (2*o**2 - o + o)*(5*o**2 - o**2 + 2*o**2).\nAnswer: 22*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -26135*b + 2326065. Calculate a(89).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.16*-0.9\nAnswer: 0.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 960.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-408)\/(-240))\/(2\/81580)?\nAnswer: 17, 4079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19181.\nAnswer: 19181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -319 + 324. Suppose 345*d = 346*d - c. Solve 4*p + 2*o - 6 - 6 = 0, d*p - 33 = 2*o for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -4*z + 9. Let h = 11 - z. Calculate the least common multiple of 8 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -416850 = -619*g + 605*g. List the prime factors of g.\nAnswer: 3, 5, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5361 - 2092. List the prime factors of g.\nAnswer: 7, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 89737, 358974, 807707, 1435936?\n\"Answer: 89748*b**2 - 7*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 49613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*y = 5*p + 6, -3*p - 14 = 5*y. Let s be p*-5*(-6)\/15. Suppose 3*m = -h + 5*m - 3, 10 = 2*h + s*m. Which is smaller: h or 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 203 by -8.\nAnswer: -203\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07902 rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 59*q**3 - 23 - 38 + 116*q**3 - 102 with respect to q.\nAnswer: 525*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 32*k - 2. Let z(d) = d**2 - 4. Let r(n) = -3*n**2 + 10. Let w(x) = -2*r(x) - 5*z(x). Determine w(q(p)).\nAnswer: 1024*p**2 - 128*p + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 f when three letters picked without replacement from wrwewefeeofweoe.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + -20 + 17\/(680\/(-250))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001332 (base 4) in base 12?\nAnswer: 253a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-5))\/((-7)\/(-8295)). Let s = -101 - q. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.436874 + -0.72?\nAnswer: -0.283126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p + 224 - 273 = 2*p. Let y(z) = -2 - 3 - 3 + z. Determine y(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 280169 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 + 15*u - 4. Suppose -4*t + 3*f - 2*f + 42 = 0, 5*t - 46 = -2*f. What is the smallest common multiple of t and z(14)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8326\/(-10) + (39\/(-65))\/(-1). Let g = -828 - f. Suppose 102 = 5*p - 3*o - o, 5*o = 3*p - 69. Solve a = -2*u + 5 - g, 4*a = 3*u - p for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 3 - -7 - (10 + 22 - 34)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -134343 + -1141?\nAnswer: -141034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qugi when four letters picked without replacement from {u: 1, g: 5, i: 3, o: 2, q: 1, d: 1}.\nAnswer: 1\/1144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 750272293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.5 (b) -0.08 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111 - -1010000010000?\nAnswer: 1010000011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/7, 0, 1\/752, 16\/5, 113?\nAnswer: 1\/752","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*g - 5*g + 66*g to the form h + t*g and give t.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -0.01. Which is the third biggest value? (a) -3 (b) g (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1209)\/(-2700) - 2\/(-9) and 16\/25.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2749 - 4.2749. Let n = -33 - -43. Let h be (2 - 12\/5)*-10. What is the third biggest value in h, r, n?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of n**6\/168 + n**5\/35 - n**4\/14 - n**3\/2 - 6*n. Let x(q) be the second derivative of f(q). Factor x(h).\nAnswer: 3*(h + 2)*(5*h - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10530087, -10530084, -10530081, -10530078, -10530075?\n\"Answer: 3*j - 10530090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a decade in months?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - k + 12 = 0. Suppose 3*a + 104 = k*a. Calculate the highest common factor of 13 and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2610 - 2606. Calculate the least common multiple of q and (-98)\/(-6) + 1\/(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - 10. Suppose -123 = -h*r - w, -2*r - w + 27 = -36. Suppose 0 = z + 4*z - r. Solve 9 = -3*v + z*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 409 a factor of 907773590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -25*c**2 + 6*c - 3. Let l(h) = 25*h**2 - 5*h + 2. Let b(j) = -6*l(j) - 5*n(j). What is the derivative of b(p) wrt p?\nAnswer: -50*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 4*i - 36 = 14*i - 63 - 11, -2*i = -v - 10 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + a = -6. Suppose -a*x + 100 = -x. Suppose -4*f = -2*q + 24, -3*q + 8*q + 5*f - 90 = 0. What is the lowest common multiple of q and x?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (442\/(-1326))\/(105\/(-9))?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37c3 (base 15) to base 13.\nAnswer: 5541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18425*k + 39*k**2 - 8*k**3 - 18424*k - 40*k**2 + 71*k**4 to s + o*k + h*k**4 + u*k**3 + i*k**2 and give h.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178288 + 516391 = 22605*l - 340047 for l.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*q**2 - q - 243 with respect to q.\nAnswer: -6*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h + 5. Let u(b) = b**3 - 5*b**2 - 3*b - 12. Let c be u(6). Let y(q) = -q + 12. Let z be y(c). Let t(g) = 1. Give z*t(m) - w(m).\nAnswer: -3*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 977*h**2 - 141 - 189 + 1161*h**2 + 330 as o*h + r + a*h**2 and give a.\nAnswer: 2138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttatttta. Give prob of sequence tat.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a factor of 8949419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70470 and 111114?\nAnswer: 435011310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-16)\/(-4))\/(-28))\/(2\/2).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8736514543 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*x**4 + 3*x**4 + 2*x**4)*(3 - 2 + 0) - x**4 - x**2 - 71 + 70 + 0*x**4 + (-x**3 - x**3 + 0*x**3)*(1 - 1 - 5*x).\nAnswer: 7*x**4 - x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1723 rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - n = -171, -126 = -3*g - 12*n + 9*n. What is the remainder when g is divided by 2 + 1 - 38\/(-2)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8311048 divided by 2.\nAnswer: 4155524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -24*b - 142. Determine n(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1400 = 5*u + 30*u. Which is the smallest value? (a) 2 (b) -4 (c) u (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 990*h**2*r**3 + h**2*r**2 - h*r + 1264*r**3 wrt h?\nAnswer: 1980*h*r**3 + 2*h*r**2 - r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 4*q**2 - q + 2. Let c = -45 + 53. Suppose 0 = -l - d, 0 = -l - 3*d - c + 2. What are the prime factors of b(l)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g = -4*g + 16*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 109352283?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -501, -616, -811, -1086?\n\"Answer: -40*s**2 + 5*s - 466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 3751 = -2*n - 3749, -n = u - 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -9*m + 43. What is j(6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8 - 7*r - 8 + (r + 5 - 5)*(-4 + 2 + 4) + 1 - 1 - r + 2*r + 0*r - 5*r + (1 - 2 - 1)*(-3*r + 4*r + 0*r).\nAnswer: -11*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -565 divided by 3.\nAnswer: -565\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4389, -24821, -58877, -106563, -167885, -242849?\nAnswer: -331461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8187\/(-9) - (-2)\/3. Let v = r + 1450. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -5. Which is the biggest value? (a) 6 (b) k (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/594 and 1\/990.\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.3 + 0.3. Let g = 42 + -42.08. Let l = g + -0.42. Which is the second smallest value? (a) -0.3 (b) u (c) l (d) -1\/18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h + 3*k - 12, -2*h - 7*k + 14 = -2*k for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171669981?\nAnswer: 3, 7, 1167823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 77 + -36. Suppose -4*n + 265 = t. Does 14 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83817 is divided by 83809?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1308, -1310, -1312, -1314?\n\"Answer: -2*z - 1306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 3:02 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 4*w = -40, 5*p - 3*w + 2 - 36 = 0. Which is the closest to -5? (a) -2\/5 (b) p (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 5 - l**3 + 1 - 1 - 4. Let k(h) = -3*h**3 + 3*h**2 + h + 4. Let x(n) = k(n) - 5*v(n). Give x(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4856813, 4856810, 4856807?\nAnswer: 4856804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -10*c + 1. Let k(j) = -7*j + 1. Let a(q) = -7*k(q) + 5*s(q). Let v be a(-8). Suppose 30 = -3*l + v*l. Is 8 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36843*w + 36848*w - 3*g - 65 = 0, -5*w + 5*g + 55 = 0 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-2\/7))**27\/(x\/(x\/(x\/x**(-6)*x)))**(2\/77) assuming x is positive.\nAnswer: x**(2657\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 384 divided by -24.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2170019281 to the nearest integer?\nAnswer: 1295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14638 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(3\/4))\/x**(-10\/3))\/(x**(-12)*(x\/x**(-9))\/x) assuming x is positive.\nAnswer: x**(79\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wu when two letters picked without replacement from {u: 3, w: 1, x: 6, m: 2}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 136 - 7?\nAnswer: 12a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 6, g: 3, v: 4}. What is prob of picking 1 g and 3 v?\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/2010 + -8033\/14070. Let n = 0.016 + 2.284. What is the second biggest value in h, -2\/9, -1, n?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - 4*f**2 + 5*f + 3. Let z be (-120)\/(-21) - (-2)\/7. Suppose -z + 26 = -4*r. Let b be v(r). Solve -k - 1 = b*y, y + 8 = -3*y for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -670477.117 to the nearest 1000.\nAnswer: -670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 12, 2\/9, 1.6, 5, 103\/4 in descending order.\nAnswer: 103\/4, 12, 5, 4, 1.6, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (98*1)\/((-26)\/(-13)). Suppose 4*w = 221 - h. What is the remainder when 84 is divided by w?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q\/q**2*q)\/q)\/((q**6\/q)\/q)*(q**(-4)*q)\/q**(-6) assuming q is positive.\nAnswer: 1\/q","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 362 is divided by 22?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39676?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1 + ((4 + sqrt(147) + 0)*-2 - (0 + sqrt(147) + -5 + 1)))**2.\nAnswer: 294*sqrt(3) + 1372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5004 - 35026\/7. Which is the closest to -6.1? (a) o (b) -1\/3 (c) -0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1409641, -1409646, -1409651?\n\"Answer: -5*m - 1409636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 331.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -23265112467905 minus 2?\nAnswer: -23265112467907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1ab - -9?\nAnswer: 1b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/19316 and 40\/29843.\nAnswer: 52404308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, b: 10}. What is prob of picking 2 t?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11587 = 5*g - 2*j, -j + 2*j = -1. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in six fifths of a meter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -372, -755, -1142, -1533, -1928, -2327?\nAnswer: -2730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(8\/(-4)))\/(29\/(-87))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -109 in -4\/5, 0.01, 3?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 x when four letters picked without replacement from {k: 4, x: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/10))**(-44)*((v**(-13)\/v)\/v*v)\/v*(v\/((v**(3\/2)\/v)\/v)*v)\/v assuming v is positive.\nAnswer: v**(-91\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 l when three letters picked without replacement from {j: 5, l: 2}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 45\/(-2)*((-451)\/(-55) + -5)*115\/(-276)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -8. Let k = 0.421 + -0.121. Sort k, 2, -1, p in ascending order.\nAnswer: -1, k, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3706 and 83494?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 2*u + 3, -4*c = -2*u - 16 - 22. Let g(y) = y**2 - 9. Let s be g(-4). Calculate the highest common factor of c and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 128, 14, 2\/5, 10, -0.26, 1 in increasing order.\nAnswer: -0.26, 2\/5, 1, 10, 14, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/26960 and 43\/2?\nAnswer: 26960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2796486 and 616?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 3:22 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o**2 - 24 + 43 - 21)*(26 - 26 + 6*o**3 + (1 - 1 - 2*o)*(-2*o**2 + 3*o**2 + o**2)).\nAnswer: -8*o**5 - 4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3708*y**2 - 2 + 80*y - 3708*y**2 - y**3 to the form x*y**3 + u*y**2 + m*y + b and give m.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 12 + 8. Suppose -2*l + n = -42. What are the prime factors of l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12648*x - 9607*x - 895*x - 8725*x.\nAnswer: -31875*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12302576 divided by 58864?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -30365120 >= -30365122?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -4, -0.067, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7554661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*o - 951 = 2059 for o.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -15 divided by -196963\nAnswer: 15\/196963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-5)*(7 - 7). Suppose -3*w - 11 + 80 = k. Calculate the greatest common factor of 184 and w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 417466 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(117))**2 + -1.\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -3*v**2\/2 + 2775. Let b(n) = 14*n + 64. Give b(d(j)).\nAnswer: -42*j + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*o + 307 - 1 = 0. What is the least common multiple of 4 and o?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (k - k - k)*((6 - 6 + 4)*(0 + k + 0)*(0 + 6 - 5) + (k + 6*k + 4*k)*(1 - 2 - 1) + 1 - 2*k - 1) in the form b*k**2 + c*k + t and give b.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(108) - sqrt(18)\/(sqrt(6) + sqrt(36)\/sqrt(6))) + (0 + (1 + sqrt(108) - sqrt(3)) + 3)**2.\nAnswer: 91*sqrt(3)\/2 + 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 572 from -7243.\nAnswer: -7815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -114, -854, -2894, -6894, -13514, -23414, -37254, -55694?\n\"Answer: -110*b**3 + 10*b**2 - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -0.91\nAnswer: 0.455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, a: 3, d: 5, y: 2, e: 1, k: 1}. Give prob of picking 1 k and 1 d.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -5*f**3 - 55*f**2 + 754*f + 15. Give d(8).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - -35302.\nAnswer: 35301.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1002 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3623819687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20237*c**2 - 1 + 2 - 1 + 20235*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1403108 + 701547 - 5*w + 701561.\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 3027?\nAnswer: -3027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*q**2 - 3 + 3)*(-2*q**2 - 2*q**2 + 6*q**2) - 3*q + 3*q**4 + 3*q + 3*q**4 - q**4 - 16*q**4 to a*q**2 + j + l*q**4 + r*q + k*q**3 and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n**2 + 2*n + 5. Let f(s) = -3*s**2 + 2*s + 4. Let g(j) = -6*f(j) + 5*z(j). Let q be g(-2). Calculate the greatest common factor of 34 and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -2, -25, 1, -6 in increasing order.\nAnswer: -25, -6, -2, -1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -123 (b) -0.01 (c) -4\/7 (d) -211\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1217.812 - -1259. Let b = 41 - i. Round b to 2 dps.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -74889206\/435 + 38092289962\/229245. Let c = y - -5995. Let b = c - -70001\/9486. Find the common denominator of b and 75\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p + 1. Let s be g(-2). Which is bigger: s or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 744.9 and -2756206357?\nAnswer: 2756207101.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1474335756?\nAnswer: 2, 3, 29, 173, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbr when three letters picked without replacement from rbo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 505 = -10*r + 7*r, 0 = 3*r - 4*d - 500. Calculate the least common multiple of r and 168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/((-30)\/(-44)))\/(((-4)\/21)\/(1870\/(-1309)))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -41 - -57. Suppose -x + o + 17 = 0. Is 11 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 3:11 AM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1083\/4 + 5643\/8*t + 15\/8*t**3 - 72*t**2 = 0.\nAnswer: 2\/5, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144699?\nAnswer: 3, 139, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43114909\/10755 + -92676\/1195. Let q = r + 4087. Find the common denominator of q and 1\/15.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-6)\/(-13) + (-2)\/2 and 4 + (357\/(-24) - -5)?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-10))\/(10\/(-25))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -294*v. Let c(j) = j. Determine l(c(t)).\nAnswer: -294*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -1492 in descending order.\nAnswer: 2, -5, -1492","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2719507954.\nAnswer: 2, 1359753977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 55 + -23?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand s + 4*s - 7*s + s + 3 - 3 + (0*s + 0*s + s)*(-3 + 6 - 1) - 2*s + 0*s - 3 - 4 + (6*s + s - 4*s)*(-2 - 5 + 67).\nAnswer: 179*s - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/6 (b) 1\/3 (c) 2\/5 (d) -0.4 (e) -11 (f) -4\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5269431, -10538871, -15808311?\n\"Answer: -5269440*s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 862851551?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12137.063 - 12112. What is x rounded to 1 dp?\nAnswer: 25.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000068632141 to seven dps.\nAnswer: 0.0000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**3 - 16*o**2 - 63*o - 720. Calculate i(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from muvuvmvvm. Give prob of sequence vvuv.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 4*d**3 - 15*d**2 - 2*d + 15. Let f(i) = 2*i**3 - 8*i**2 - i + 8. Let u(z) = z**2 + 4*z - 25. Let g be u(-7). Let x(j) = g*v(j) + 7*f(j). Give x(3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -7 + 5 + (0 - -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqlqqxqlxxxx. What is prob of picking 4 x?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 2:03 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (85\/(-21) - -4)*-12. Let y be (152\/(-28))\/2 - -3. Factor -y*x**2 - g + 6\/7*x.\nAnswer: -2*(x - 2)*(x - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15672996 and 316.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 14 + 4)*(-219*v + 81*v - 60*v - 129*v).\nAnswer: 1635*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - a + 2*a)*(3*a**2 - 3*a**2 + 2*a**4) + a**5 + 2*a**5 - 6*a**5 - 3*a**3 + (-2*a + 2*a - 3*a + (a - a - 4*a)*(1 - 5 + 1))*(3*a**4 - 3*a**4 + 3*a**4).\nAnswer: 26*a**5 - 3*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 566481234 - 566481178.9999954. Let m = j + -55. What is m rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**4 + l**4 - l - 15*l**3 + 17*l**3 + 0*l to c*l**3 + f + b*l + a*l**2 + q*l**4 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 6*v**2 + 8*v - 8. Let z be s(7). Let k(t) = t. Let d(r) = 8*r + 1. What is z*d(b) + 5*k(b)?\nAnswer: -3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + r + 4 = 0, -5*w = -r - 1987. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15047063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of -u**4\/12 + u**3\/6 - u**2\/2 - u. Let m(q) = 4*q**2 - 2*q + 2. Let a be 150\/(-900) + (-10)\/12. Determine a*m(p) - 2*j(p).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 776 + -240. Suppose -235 = -5*b + 5*h + 1090, -2*b - h + x = 0. Is 5 a factor of b\/6 + 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 11, 0.0486, -1, 1\/8, 1 in descending order.\nAnswer: 11, 1, 1\/8, 0.0486, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y - 19. Give c(-25).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 585796 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-7)\/(-3) - 2)*6. Let x(k) = -k**2 + 3*k + 1. Let t be x(n). Let j be (3\/(-10))\/(54\/(-585)). Does t = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2133872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1039)\/52 + 197\/(-10244)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 5) to base 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*q - 3, -b - 78 = -4*q. Let v = b - -98. Does 14 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, n: 2, v: 1, u: 1, h: 2}. What is prob of sequence aa?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/(84\/(-20) - -4). Let n = k - -294. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 693.4949 decades?\nAnswer: 6.934949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 7:28 AM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*r**2 - 780*r**2 - 515*r**2 + 372*r**2.\nAnswer: -1007*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -201807057958851 - 1.\nAnswer: -201807057958852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539)*-2 + 0 + -4 + -4 + -5 + (sqrt(539) + -1*sqrt(539) + sqrt(539) + 2)*-2)**2.\nAnswer: 952*sqrt(11) + 8913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 135.9429 to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-3))\/(10\/15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10101020100 - 2200?\nAnswer: -10101100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13013497?\nAnswer: 7, 1859071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2864 and 40240.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = -18*y - 6*y. Let a be 1\/y - (-2115)\/188. Is 95\/8 greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 5*d = -40 + 5, 0 = -4*k + 2*d + 30. Suppose m + k + 2 = 3*s, 3*s + m = 5. Suppose 182 = s*a - a. List the prime factors of a.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 91 and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 53440 and 29746040?\nAnswer: 6680","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine fifths of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 88 and 176308?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -3*x + 41, u - 5*x - 33 = -u. Suppose -3*v - 8 = 4. Let s = u + v. Is s bigger than 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5041841.\nAnswer: 7, 373, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from assaa?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.8 + -0.2. Let r = -32 - -31. Let c = s - r. Which is greater: 0.1 or c?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -636\/7441?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 11055475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*s - 4 = h + 36*s, 0 = h + 2*s + 6. Is -23 at least h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3557690*p**2 + 1015025?\nAnswer: 7115380*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 11*s**2 - 1. Let x(a) = -78*a**2 + 258*a + 2. Determine -x(g) - 7*z(g).\nAnswer: g**2 - 258*g + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 131331202 - 1000?\nAnswer: 131330202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 16*t**2 - t - 11. Let i be a(-16). Let z = -4 - -7. Suppose -n = -2*n - i*l + 5, z = n + 3*l. Which is bigger: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 125846637 to the nearest integer?\nAnswer: 11218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 34351536?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 236 divide 8864146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (15\/9 - 1) + 715\/39. Suppose 16*o - 9 = x*o. Is o greater than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 404420171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, t: 2, q: 3, s: 3, o: 7, b: 2}. Give prob of picking 2 s and 2 q.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 284? (a) 3 (b) 1\/6 (c) -0.1 (d) -3 (e) 0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 11. Suppose 2*y = -6, -4*p - k*y + 14 - 4 = 0. Let b = -2.6 - -0.6. What is the closest to b in -0.1, p, 0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 q, and 1 r when four letters picked without replacement from rmrmmmqqrrqffrqfqrmf.\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 11\/1695 (b) -2\/13 (c) -3\/4 (d) -1\/4 (e) -4 (f) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*500\/550*22.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 4*h + 64, 0 = -4*h + 3 + 9. Let t be (-39)\/x - (-19)\/(-7). Factor -4\/7*o**2 - t*o**3 + 0 - 2\/7*o.\nAnswer: -2*o*(o + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -17*b - 5*u, -302*b + 8 = -297*b - u for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/5 + 92*m\/5 - 36.\nAnswer: -(m - 90)*(m - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y + 1. Let m(z) = -3*z. Let r(b) = 11*b - 2. Let l(a) = 4*m(a) + r(a). Give -3*d(j) - l(j).\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3747279 a multiple of 435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9\/254 in -2\/11, 2\/9, 5, -2\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.48 + -1.261. Let g = 0.119 - p. Do 21 and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*r**2 + 9*r**2 - 28*r**2 + 8*r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 110 and 13519.\nAnswer: 135190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - -34 - (-7 + 11)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 12:31 PM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 1 = -9*r. Let y be 8\/12 + 2\/r. What is the second smallest value in y, 1\/2, 1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 291, 292, 291, 288, 283, 276?\n\"Answer: -i**2 + 4*i + 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 1935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10934*i**3 + 3*i**2 - 429607 with respect to i.\nAnswer: 32802*i**2 + 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 9:44 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(5103)*3 - sqrt(63))*5)\/(((2*sqrt(270) + sqrt(270))\/sqrt(10))\/sqrt(3)) + -1.\nAnswer: -3 + 130*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 6:25 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 96*q**3 - 4*q**2 + 2*q + 7. Let n(y) = 96*y**3 - 3*y**2 + 2*y + 7. What is -6*n(l) + 5*u(l)?\nAnswer: -96*l**3 - 2*l**2 - 2*l - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 72 = 2*j, -j = 3*c - 5 - 39. Suppose -2 = 2*s - c. What is the second derivative of -8*d**4 + s*d**4 - 11*d**4 - 18*d wrt d?\nAnswer: -144*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n - 2*n - 5 + 13 + 11. Let q be m(18). Suppose -5*s - 13 = 2*w - 0*w, w = -s + q. Calculate the highest common factor of w and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 5*t**2 + 5*t - 8. Let o be y(-6). Let s = 5 + o. Solve -4*u - 6 = -4*r + 14, -u = -s*r + 7 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 87 and 87.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -48cd9 - 3?\nAnswer: -48cdc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2735707 is divided by 488.\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*q + 4 - 4)*(240 - 1337 - 339 + 3*q**2 - q) as t*q**2 + f*q**3 + r*q + m and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**2\/9 + 52261352*i\/9 - 341406114108488\/9 = 0 for i.\nAnswer: 13065338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 4*l = 17, -15 = -4*m - 5*l + 7 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -69*k - 46. Let y(d) = 34*d + 23. Let v(z) = 3*s(z) + 5*y(z). What is the first derivative of v(h) wrt h?\nAnswer: -37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - -1. Suppose -3*k - 6*j + 163 = -2*j, -m*k - 4*j + 212 = 0. Suppose 3*b + 15 = -0*b, k = c - 5*b. Calculate the greatest common factor of 60 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2\/3, 3, 0, -2\/61?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*d + 9*d + 14*d)*(2*d**2 + 2*d**2 - 3*d**2 + (3*d - 3*d - d)*(d + 0*d - 4*d)) as g*d**3 + k*d + y*d**2 + q and give g.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vrgntpr. What is prob of sequence rg?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 74\/(-26) + 12\/(-78) - 12 - -4. Sort 4, u, -3, -4, -2 in increasing order.\nAnswer: u, -4, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(9\/81 - 35\/(-90))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 2441813?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3481, 13895, 31253, 55555, 86801?\nAnswer: 124991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 519209017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 19173887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 2*g + 25 - 55)*(5*g - 2*g - g) + 3 - 3 - g**2.\nAnswer: 3*g**2 - 84*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(2*sqrt(48)\/sqrt(4)))**2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 34.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, p: 8, k: 1, u: 2, g: 4, b: 1}. Give prob of picking 1 u, 1 g, and 1 z.\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4047669 - 1.812985?\nAnswer: 4047667.187015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*q + 301 - 299 - 10*q)*(3*q**2 + 2*q**2 - 7*q**2) to the form f*q**2 + k + p*q + r*q**3 and give r.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8931054 smaller than 8931054?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -627 + -10?\nAnswer: -637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 a factor of 267085374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2002 and 36729.\nAnswer: 954954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1324943 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 552 and 19044?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 7:38 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38 - -65. Suppose 25*j - y*j = 0. Suppose j*b = -4*b + 104. What are the prime factors of b?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**2 + 0*d**2 - 167269 + 167270 + 6*d**2.\nAnswer: 5*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 45*p**2 - 30*p**2 + 66*p**2 as n + u*p**2 + j*p and give u.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - sqrt(21)\/(sqrt(7)*1)) + 1 + sqrt(75) - sqrt(18)\/(sqrt(96)*1).\nAnswer: 1 + 19*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2248748 and 3912?\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 261.072833 to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o - 2. Let c be w(0). Let t(l) = -4*l**3 + 8*l**3 - 9*l**3 - 252*l**2 - 2 + 248*l**2. Let p(v) = v**3 + v**2. Calculate c*p(b) - t(b).\nAnswer: 3*b**3 + 2*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and -470997?\nAnswer: 470996.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*((o\/(o\/o**(-3)))\/o)\/o)**(4\/5) assuming o is positive.\nAnswer: o**(-16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 105020 by 59.\nAnswer: 1780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 + 15*l - 15. Suppose 29*h = 5*h + 336. Calculate v(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -3*o - 7\/2*o**2 + 27\/4*o**4 - o**3 - 77. Find the second derivative of r(q) wrt q.\nAnswer: 162*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 157 - 278. Which is greater: -120 or a?\nAnswer: -120","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -41*p**6\/6 + 2*p**5\/5 - 3*p**2 + 26*p - 351. What is the second derivative of b(j) wrt j?\nAnswer: -820*j**3 + 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*16 - (-8)\/4. Suppose 4*k + 9 = z + q, 0 = k - 4. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1021 + -2.1\nAnswer: 1018.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -609*h**3 - 8*h**2 - 6*h - 8. Let j(y) = y**3 + y**2 + y + 1. Give a(v) + 8*j(v).\nAnswer: -601*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17)\/85)\/((-4)\/(-5))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -4*r - 528, r = -2*j - 0*r - 264. Let f = -661\/5 - j. Sort f, -0.4, -24 in increasing order.\nAnswer: -24, -0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f - 10858*f**2 + 16*f**3 - 36 + 10730*f**2 - 127*f = 0. Calculate f.\nAnswer: -1\/2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3436*212.\nAnswer: 72.8432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 132959 = 2*p + 113041, 0 = 4*p - 2*d + 492000. Round p to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*z - 126*z - 78 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4725529.\nAnswer: 37, 127717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*c**4 - 2\/3*c**2 - 10\/9*c + 2\/9*c**3 - 4\/9.\nAnswer: 2*(c - 2)*(c + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 17943*u + 179401. Give n(10).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 5 - 1294*p**3 + 15.\nAnswer: -1294*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 5*w**3 + 470*w**2 + 11045*w = 0.\nAnswer: -47, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*m + 5. Suppose -m = -2*v + 9. Solve v*o - 4 = 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 218350 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3*n = -5975, -3*s - 3*n + 6485 = -2515. Suppose 2*d - s + 502 = 5*l, d + 2*l = 1269. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 797413?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34993 + -34990. What is the closest to 107 in j, -5, 1\/11, -1\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 11 + 1 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -248 + 251. What is the second derivative of -71*d**5 + 53*d**2 + 4 + 21*d**5 - f*d - 53*d**2 wrt d?\nAnswer: -1000*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.04, 2\/11, -18965, 57\/5, -3, 5?\nAnswer: 57\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -45*p - 1111. What is w(-25)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 58 - 53. Let t be (-346)\/(-546)*3 - 2. Let g = -5\/13 - t. What is the nearest to g in 0, z, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -250743063, -501486126, -752229189?\nAnswer: -1002972252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 33 and -65416.\nAnswer: -2158728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 18 - 5)*(-19 + 95*t - 100 - 100*t) + (-2*t - t + 5*t)*(2 + 0 - 4).\nAnswer: -119*t - 2737","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -451? (a) -585 (b) -2.4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + -9 + 17 + -14 + 8?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from {y: 9, w: 7}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95395 is divided by 3942.\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.84 + -0.04. Let o = 3 - y. Which is the closest to -0.1? (a) o (b) -0.2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592000 rounded to the nearest 10000?\nAnswer: 590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1300907 at most as big as 10407261\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36 + -319. Let r = 284 + p. Do r and -17 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 9*f = 24*f - 874 for f.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - 5 + 5. Let h(m) = -3*m + m + m. What is h(y(l))?\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 5*k = -1395, d + 30*k - 271 = 35*k. Does 29 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 6*o + 210. Let u be ((-8)\/18)\/(o\/21). Let n = -319\/204 - -28\/17. Which is bigger: u or n?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d + d**2 - 4*d)*(d - 3 + d + 7).\nAnswer: 2*d**3 + 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.33 + -1.33. Suppose 2*y = -3*y + 10. Which is the nearest to t? (a) -1 (b) y (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41461, -165518, -372171, -661420, -1033265, -1487706?\nAnswer: -2024743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from wgghwgtwhwggggwp?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 45\/(-36) - 4\/(-16). Let y(x) = x**3 + x**2 - 1. Let q(a) be the first derivative of a**4\/2 + a + 45. Determine b*q(w) + y(w).\nAnswer: -w**3 + w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + (-27 + 29 - 41).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 59 = -5*c, 2*c + 92 = 2*i - 7*i. Let r be (i - -4) + -1 - -3. Let f be 3*3\/r*-4. Solve -f*z = -8*z - 25 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 h, and 1 g when three letters picked without replacement from {g: 1, j: 1, t: 1, u: 1, h: 2, m: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 2 (b) 0.564 (c) 2\/3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of -q**6\/120 + 11*q**5\/60 - 3*q**4\/8 + 5*q**3\/2 - 15*q**2. What is the units digit of a(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.68 take away 26?\nAnswer: -28.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 3*j = 0. Let s = 4527\/69283 + -24\/877. Are j and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50 - -58 - (-2 - -13)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 612411\/20 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 22*q - 21*q - 12576, -5*c + q = -20952. List the prime factors of c.\nAnswer: 3, 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -1 - 3. Suppose 46 = o*h - h. Let b be (-1)\/(h\/24 - 2). Round b to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h - h - 4*h - 3*h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -30 or 945?\nAnswer: 945","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 890*z**2 - 16914*z + 76.\nAnswer: 2*(z - 19)*(445*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 73 + 47 = 0. What is the greatest common factor of z and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i**(-5)*i)\/i*i**0)\/(i*(i\/i**(-1))\/i)**(3\/20)*(i**(-2\/7)*i\/i**(-2\/9))\/(i\/(i**1*i))**20 assuming i is positive.\nAnswer: i**(10481\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in two sevenths of a week?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + 0\/1)\/3. Suppose v = u - 2 - 2. Solve -3*l - 4 = -u*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.8209 at least as big as -3017?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qmzmkzzzkgmkqkzgszmz. Give prob of picking 1 g and 1 s.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 3b?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 63649013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1236108100 rounded to the nearest 1000000?\nAnswer: -1236000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 13201 (base 4) to base 12\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 1. Let y(x) be the third derivative of -3*x**5\/20 - x**4\/6 + 4*x**3\/3 + 5080*x**2. Determine -6*w(u) - y(u).\nAnswer: 3*u**2 + 4*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00075703575 rounded to six decimal places?\nAnswer: -0.000757","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -85*n - 1790. Let y be l(-47). What is the greatest common factor of 30 and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 9443\nAnswer: 4\/9443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 5*u = -8*u + 28, -5*g + 45 = -5*u. Let i(a) = a**3. Let c(h) = 4*h**3 - 7*h**2 + 5*h + 7. Let x(o) = c(o) - 3*i(o). Give x(g).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.664 and -15.\nAnswer: 9.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -481 and -473 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 5*o**2 + 7*o - 8. Let z be t(6). Let y be (z\/(-3))\/((-12)\/18). What is the highest common factor of y and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*931064\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0 (b) 3\/5 (c) -1 (d) 3\/7 (e) 5 (f) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrtrrrrrtrtrrrrt. What is prob of picking 2 r and 2 t?\nAnswer: 105\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**2 - 41 + 35 + 7 + 0*m**2.\nAnswer: 2*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10215271*c**3*x**2*y**2 + 2*c**3*x**2 - 27*c**2*x**2*y + c**2*y**2 - 82*x*y**2 - 109 wrt c?\nAnswer: 61291626*x**2*y**2 + 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -6) + (-1 - -9) - -1 - 27.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*d - 10 + 10)*(-28*d + 83*d - 2*d) - 4 + 4 + d**2 - 2*d + 2*d**2 + 2*d to the form x*d + k + f*d**2 and give f.\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2349.71 - 2178. Let v = 171 - n. Let z = -0.29 + v. Which is the closest to z? (a) -2 (b) -1 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + d - 151 = j, -2*j + 147 = 5*d. Is 108\/(-24)*2\/(-3) + j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18838*q**2 + 13547 wrt q.\nAnswer: 37676*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5067 (base 8) in base 9?\nAnswer: 3525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**4\/b**(-17))\/(b**(-1\/30)*b**(-2\/5)) assuming b is positive.\nAnswer: b**(643\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7\/5 - 59\/35. Let v = -8\/3 - -4. Let f = 0.9 - 0.7. Which is the nearest to k? (a) v (b) -6 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 23*b**2 - 480*b - 58. What is d(21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37465 by -7493.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -323*y = -378*y + 25410. Calculate the smallest common multiple of y and 8.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -36 in decreasing order.\nAnswer: 4, 2, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 116 (base 16) in base 6?\nAnswer: 1142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of -w**2\/2 - w - 19. Let x(s) = -2*s**2 + 2*s + 2. Determine -3*r(t) - x(t).\nAnswer: 2*t**2 + t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + -2. Let r = a - -7. Solve m - 5 = 4*i, -2*m = -7*i + r*i - 7 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 30*t**2 + 1074*t - 31968. Calculate h(29).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6.529705 years?\nAnswer: 0.6529705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52, 41, 30, 25, 32, 57, 106, 185?\nAnswer: 300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/k**(-3\/4))*k\/k**3*(k\/(k*k*k\/(k**(-1)\/k)))**(-3\/7))\/(k**(-1\/9)\/(k*k*k**(-1)))**(-6\/5) assuming k is positive.\nAnswer: k**(-199\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 2*b + 23 = 0, 10*a - 5*a + 4*b = 31. Solve -7 = a*o - 19 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of -q**5\/120 - q**4\/6 + 5*q**3\/6 - 6*q**2. Let b(u) be the first derivative of n(u). What are the prime factors of b(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**0*u)\/u)**33\/(u\/((u*u**(1\/6)*u*u)\/u)*u*u*u*u**3))**(-3) assuming u is positive.\nAnswer: u**(-169\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o. Let t be u(1). Suppose t*p = i - 4*i - 6, 5*p - 19 = i. Sort -5, i, 3.\nAnswer: -5, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b21 + b?\nAnswer: -b14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + -9 + 10 - 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 88e - 9?\nAnswer: 885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -3, 22, 5, 1 in decreasing order.\nAnswer: 22, 5, 1, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 760951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 13883.6 to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 611, 2523, 5679, 10079, 15723, 22611?\n\"Answer: 622*s**2 + 46*s - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 172700 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 538907647 to the power of 1\/3, to the nearest integer?\nAnswer: 814","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 1\/39, -0.5, 7.2 in descending order.\nAnswer: 11, 7.2, 1\/39, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -137 - 642*j**6 + 0*j**2 - 11*j**2 + 22*j**2 - 14*j**2 wrt j?\nAnswer: -77040*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 9*m**5\/4 + 795*m**4\/4 + 22629*m**3\/4 + 205905*m**2\/4 + 33075*m\/2 = 0?\nAnswer: -35, -18, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1482 - -2182. Suppose -6*k = -4*k - d. Suppose 5*n - k - 520 = 0. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4570051?\nAnswer: 19, 31, 7759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3444148 is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -147360 divided by 1842.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 807*d - 829*d = 220 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by (-13)\/(52\/72)*1\/(-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -13719, -109857, -370847, -879129, -1717143?\n\"Answer: -13740*d**3 + 14*d**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3659345?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 4\/1821?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 + 7*c + 11. Let k be n(-4). Let j = 1.5 + -2. Let b = 0.2 + -0.1. What is the closest to -2\/33 in j, k, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3*p - 1. Let i(r) = -r**2 - 33*r - 5. Determine -i(s) + 5*u(s).\nAnswer: s**2 + 48*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -42, -2 in increasing order.\nAnswer: -42, -6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.6 + 0. Let d = -0.7 - t. Which is smaller: 5 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 - 20. Let l(u) = -3*u**3 - u**2 - 2. What are the prime factors of l(h)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**2 - 19*o - 6. Let q be p(-9). Factor -1400*n**2 + 165*n**q - 607*n - 15*n**4 + 130*n**3 + 107*n.\nAnswer: -5*n*(n - 10)**2*(3*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*l + 99*l - 272 = 0. Let t(v) = v - 11. Calculate t(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t - 6*t - 6 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31 and 1643.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -y + 4*y. Let w be ((-12)\/(-24))\/(y\/32). Solve m = -m + w for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1565?\nAnswer: 1565","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -2 (b) -5 (c) 7953\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1048 + 4 - (0 - 1)*5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 12:41 PM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 9 = 4*q, -7*q = -6*q + 5*c - 29. Solve q*f + 7 = w + 8*f, -w = -3*f for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 115583 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -62989 or 835?\nAnswer: 835","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 447594 divided by -74599?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -234 - -280. Solve -18*j = 26 + g for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -47?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 38 + 5 + 1366480\/(-37944) - 7\nAnswer: -2\/153","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -707*i + 721*i = 42. Let r be (-5)\/(-9)*(-15)\/(-50). Factor r*a**2 - 1\/6 + 1\/6*a**i - 1\/6*a.\nAnswer: (a - 1)*(a + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 15668 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -11094 divided by 6\nAnswer: -1849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 5:14 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3649\/34125 - -4\/1365. Is -1 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 494\/335?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 6 - 9) + 12 + -5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -693245, -5545879, -18717299, -44366897, -86654065, -149738195, -237778679?\n\"Answer: -693232*u**3 - u**2 - 7*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28084 is divided by 93.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of 7*z**6\/16 - 177*z**5\/160 - 21*z**4\/16 + 11*z**3\/4 - 3*z**2\/2 + z + 7. Find s, given that b(s) = 0.\nAnswer: -1, 2\/7, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43 + -45. Let x(q) = -q**3 - 4*q**2 - 2*q. Let n be x(l). Let a be (-4560001)\/(-4) - (-1)\/n. What is a rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 545184.9 hours to seconds.\nAnswer: 1962665640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/(-4) + (-1)\/2. Let r = 0.177 - 2.177. Which is bigger: r or c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -140 + 138. Let w = -2 + 3. What is the smallest value in w, -0.3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38015.6494 rounded to the nearest one thousand?\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7857e - -1?\nAnswer: 7857f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - r - 1. Let j(p) = 7*p + 56. Let a be j(-8). Let l be n(a). Let v be 3 - 1\/l*-1. Solve -2*c = v*q + 2*q + 14, -3*c = -2*q - 11 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -8\/11*r**5 - 8\/11*r**4 + 38\/11*r**3 - 36\/11 + 4*r**2 - 30\/11*r = 0.\nAnswer: -3\/2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5260 - -3146. Let i = -951 - y. What are the prime factors of i?\nAnswer: 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*s - 78 = 44*s. Solve -4*d + p = -4*p + 36, s*d - p + 16 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 43*i - 26. Let g be c(-3). Let k = -150 - g. Which is bigger: k or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 7387969.\nAnswer: -7\/7387969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -43 (base 7) to base 14\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11822, 11834, 11858, 11894, 11942, 12002, 12074?\nAnswer: 12158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 515*y + 37*y**2 - 129*y - 130*y - 127*y - 32*y**2 - 129*y.\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -n - 4*n**2 - 14 + 4*n**2 - n**2 + 2*n**2 + 3*n**3 - 8*n as l*n**3 + a*n**2 + b + q*n and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1152?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1878473607 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1586, -3164, -4742?\nAnswer: -6320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2215\/(-420) + (-48)\/(-2016).\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of -b**7\/14 - 9*b**6\/10 - 9*b**5\/2 - 23*b**4\/2 - 33*b**3\/2 - 27*b**2\/2 - 37*b. Suppose v(r) = 0. What is r?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = d - 5*t, -5*d - 6*t + 25 = -t. Suppose 0*m = -5*m, -d*u = 5*m - 63. Let p(z) = z**2 - 22*z + 23. Let f be p(u). Solve 5*q - 12 = f*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + 130*l**2 - 5 - 13 - 128*l**2)*(0*l**2 - l**2 + 0*l**2) - 40*l**4 + 0*l**4 - 159*l**4.\nAnswer: -201*l**4 - 2*l**3 + 18*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16674 - 127331?\nAnswer: -110435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**6*h*h)\/(((h*(h\/(h\/h**(-2\/13)))\/h*h)\/h)\/h)*h**3*h*(h*h**3\/h)\/h)**38)**(-17) assuming h is positive.\nAnswer: h**(-127262\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33) - (sqrt(33) - 5*sqrt(33)*-6))\/sqrt(11)*-6)**2 - (2 + 2 + sqrt(432) + -2 + sqrt(3) + -1).\nAnswer: -13*sqrt(3) + 97199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3316.48128 rounded to zero decimal places?\nAnswer: 3316","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14907*i**2 + 36368*i**2 + 68525*i**2 + 2942*i**2.\nAnswer: 92928*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*i**5 - 24563*i**4 + 20*i**2 - 1641366*i wrt i.\nAnswer: -240*i**3 - 294756*i**2 + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x**2 + 23*x - 12. Let w be h(7). What are the prime factors of (w\/(-15))\/(6\/(-930))?\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15612 = -2878*u - 616*u - 22822 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 444, 839, 1184, 1473, 1700?\n\"Answer: -c**3 - 19*c**2 + 459*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 at most as big as 0.0365?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 273733, 548040, 822347, 1096654?\nAnswer: 1370961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 265545906 to the power of 1\/3, to the nearest integer?\nAnswer: 643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1199324, 2398646, 3597968, 4797290, 5996612, 7195934?\n\"Answer: 1199322*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**3 - 46280298*b**2 + 2*b - 110808892?\nAnswer: -12*b - 92560596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 137*m**3 + 60098*m**2 - 276970661.\nAnswer: 411*m**2 + 120196*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80982?\nAnswer: 2, 3, 11, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**10\/h)\/(h\/h**(11\/2))*(h**(5\/2))**13)**5 assuming h is positive.\nAnswer: h**230","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 54251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -274 + 94 = -5*z. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13983463?\nAnswer: 13, 1075651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/9447 and 31\/4330?\nAnswer: 40905510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16518203 is divided by 5007?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 7:15 PM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3327726*m - 3. Let p be l(-3). Let f(c) = -635397*c**3 - c**2 - 3*c - 3. Let y be f(-2). Let a = y - p. Round a to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y**2 - 1. Let f be t(-2). Let o be (-371)\/63 + 6 + (23936\/18)\/11. What is the greatest common divisor of o and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -380*u + 333*u = 329 + 188 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 i when four letters picked without replacement from uuiii.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 384 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1714 divide 17389688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 8*p + 17. What is the least common multiple of 30 and p?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4 and -60500380779?\nAnswer: 60500380779.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 4\/21 (b) -0.02 (c) -0.03 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1\/3379 - 87879\/84475. Let z = -1901\/1900 - i. Let t = -27\/38 - z. Put t, 2\/17, 1\/4 in descending order.\nAnswer: 1\/4, 2\/17, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 1\/4 (b) -1.33643 (c) 1 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 (base 12) in base 14?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 + 4*f - 2. Let s be t(4). Let u be (-54)\/(-60) - s\/(-5). Which is the third smallest value? (a) 4 (b) u (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5603027?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - q)*(-37*q + 2 - 20*q + q) to the form l*q**2 + y + c*q and give l.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of c + 0*c**3 - 1\/6*c**4 + 0 - 1\/10*c**5 + 0*c**2. Let s(t) = 0. What is t?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29.8 - 30. Let a = -3.5 - -0.5. What is the closest to h in -5, a, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*x**3*y**3 - 643957*x**3 + 12315577*x*y**5 + 66*y**2 wrt y.\nAnswer: -30*x**3 + 738934620*x*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qttt when four letters picked without replacement from {q: 1, z: 2, n: 1, t: 4}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 201 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 44 = 5*h, -28*a - 485*h + 491*h - 42 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(3*k - k + 0*k)*((2*k**2 - k + k)*(-2*k + k**2 + 2*k) + 2*k**4 - k**4 + 0*k**4 - k**4 - 2*k**4 + k**4).\nAnswer: -2*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 730 + 347 - 2 - 79 - 1515*t**3 + 198 with respect to t.\nAnswer: -4545*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -181.501 rounded to zero decimal places?\nAnswer: -182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 56 + 13*h - 56. Let s(o) = o**3 - 6*o**2 + 6*o + 31. Calculate the remainder when s(4) is divided by b(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 5*u**2 - 7*u + 6. Let r be v(6). Suppose -g + 5*d + 13 = 0, 3*g = -r*g + 2*d + 13. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15356 - -35351. Is f bigger than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 77*s**3\/8 + 221*s**2 + 4551*s\/8 - 45\/2.\nAnswer: (s + 3)*(s + 20)*(77*s - 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**3 + 844*f**2 + 3440*f = 0 for f.\nAnswer: -4, 0, 215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1201102221200 (base 3) to base 16.\nAnswer: -df2d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 719 is divided by 155?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6660.569 millimeters?\nAnswer: 6660569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 26079*f**3 + f**2 - 3*f + 1. Let c be y(2). Suppose -d + c = -201369. What is d rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 575*f**2 + f. What is the units digit of l(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbmnanzbb. Give prob of sequence nbam.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -2, 17093, 2, 3 in increasing order.\nAnswer: -9, -2, 2, 3, 17093","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Put together 15051667022.304 and 0.03.\nAnswer: 15051667022.334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, h: 1, w: 1, t: 2}. Give prob of picking 1 h and 1 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 4*c - 1 = 29, -3*c = 5*v + 30. Let u be ((-6)\/4)\/(v\/16). Solve -x - 3 = -4*l, -2*l - 12 = -0*l + u*x for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s + 6. Let j be k(-2). Let h = j + -13. Let p be (h\/(-9))\/(1\/12). Solve -3*a + p*o = -7, -3*o + 2*o = -3*a + 13 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -604643*n**5 + 402924*n**2?\nAnswer: -36278580*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20\/(-3)*48\/(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 7. Suppose 2*a - 14 = -o, -y*o + 3*a + 77 = 6*a. Calculate the highest common divisor of 48 and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-3 + 4*-2*sqrt(275) + -2)**2.\nAnswer: 400*sqrt(11) + 17625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - 2*b - 6*b)*(1 + 1 - 1)*(-2 + 2 + 2)*(0 + 5 - 8)*(-22 - 11 + 9).\nAnswer: -720*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3840518234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/1862 and ((-6)\/(-16) - 4059\/1672)\/(-18 - 52).\nAnswer: 9310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -723 divided by -6\nAnswer: 241\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxnxxxsxxxxxxx. Give prob of picking 1 n and 1 x.\nAnswer: 13\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -356*g + 14 + 52 + 48 - 108 to the form a + o*g and give o.\nAnswer: -356","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-3480)\/(-1800)*684\/1102\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 0.8 (c) -2 (d) -0.3 (e) 0.117\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 745 and -0.02.\nAnswer: 744.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.47827 decades in millennia?\nAnswer: 0.0647827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -674437.6 rounded to the nearest one hundred?\nAnswer: -674400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b - 5*c - 67 = -21*b, -4*b - 4*c - 8 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from cyhgzycycyccymhc?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 122042*i**5 - 71*i - 832 wrt i?\nAnswer: 2440840*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (16 - 7 - (7 + (-6 - -9))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*i + 17*i = -128. Solve 2*l = i*f - 2*f - 8, -4*f - 5 = 3*l for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 12*b + 14 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1283642 from -0.31429.\nAnswer: -1283642.31429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.2 (b) -99 (c) 5 (d) -5 (e) -0.3 (f) -14\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1977 + 1976.892. What is the third smallest value in 0.3, f, 2\/19?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17782 is divided by 184?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 divided by -1.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 660?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 + p**2 + p**2)*(-6*p + 2*p + p).\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 42*g**4 + 19*g*q**3 + 3*q**3 - q**2 - 5*q + 1417 wrt g?\nAnswer: 168*g**3 + 19*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 39\/2*(-7)\/(84\/(-16)). Suppose -4*d + c = 5*v + 9, 30 = 4*v - 5*d. What is the greatest common factor of 20 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4 + ((-3*sqrt(52))\/sqrt(4) + 5)*-1 + -2 + 0).\nAnswer: -6*sqrt(13) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c**4 + 36*c**3 - 40*c**2 = 0. Calculate c.\nAnswer: -10, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 87301082?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -168 + 204. What is the highest common divisor of 24 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*x - 17 + 17 - 2*x + 6*x - 2*x + (-18*x + 39*x - 27*x)*(2 + 0 - 3))*(72 - 39 - 46 + 3*x) to the form a + p*x + w*x**2 and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 34*p**4 + 26*p**2 + 4. Let t(i) = 34*i**4 + 25*i**2 + 5. Let w(z) = 5*h(z) - 4*t(z). Find the third derivative of w(q) wrt q.\nAnswer: 816*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -325*v**2 - 8*v + 212. Let t(c) = c**2 - 4*c. Let x(o) = 2*t(o) - w(o). Differentiate x(u) with respect to u.\nAnswer: 654*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 8*g**2 - 10*g + 11. Let v be m(9). Let u be (-1)\/v*(-6 - 4). Solve 0 = -3*x + u*x - 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 33 (b) -46\/123 (c) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1444.66 + 3611\nAnswer: 5055.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 5 = z, 25 = -3*y - 2*y - 5*z. Suppose -102 = -2*i - y*i. What are the prime factors of i?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from zzzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3210*d - 11 + 11 + 9*d**2.\nAnswer: 9*d**2 + 3210*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - (-2 + (-3 - -3)). Suppose -8*m = 3*x - 3*m + 11, -3*m - 12 = j. Suppose 2*t - 7 = x. Calculate the remainder when 9 is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v + 4*a - 96 = 0, -7289*v + 7292*v = -144*a + 141*a + 36 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = -41*b - 70 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 2:15 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 35.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(1900) + -3)**2 - sqrt(1900)) + (-3*sqrt(19)*1)**2)*5.\nAnswer: -700*sqrt(19) + 20800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*t**2 - 142 + 66 + 114*t - 114*t - 159 in the form o + z*t**2 + y*t and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39*j**2 + 319*j**4 + 50*j**2 - 362*j**4)*(-1 + 1 - 2*j).\nAnswer: 86*j**5 - 22*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -12794, -12818, -12842?\n\"Answer: -24*s - 12770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9979 - 9958. Calculate the remainder when 1152 is divided by n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (40\/(-4))\/5 + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 - 18 - 8*d**3 - d + 68 + d to h*d**3 + i*d**2 + g + q*d and give g.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 4 + 2. Let d be 1\/(12\/9 + -1). Solve -w*n + 4*c - 4 = 0, -d*c + 3 = -0*c for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*n = 67*n - 34. List the prime factors of n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32 + -5. Let o = u + 37. Solve -2 = -5*n + 2*p, p - 2*p - 1 = o for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m. Let i(v) = 364*v**2 + 28*v. Give t(i(l)).\nAnswer: 364*l**2 + 28*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37 + -147\/4. Let p be (-4)\/65*(-5)\/(-2). Let v = 0.6 - -0.4. What is the nearest to v in p, j, 0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 595 divided by -17\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*x = -26, 4*x + 45 = 4*i - 27. Suppose v - 165 = -q, 0*q + 5*q = -4*v + 661. What is the smallest common multiple of i and v?\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 10. Let k(l) = l**3 - 10*l**2 - 3. Let w be k(10). Which is the nearest to -0.1? (a) w (b) 2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 5020*x**2 + 18. Let n(v) = 627*v**2 + 2. Determine 2*d(t) - 17*n(t).\nAnswer: -619*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -72*t + 372. What is the remainder when r(2) is divided by 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 33 - (-20 + -113 + 89)\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, 14, 95, 250, 503, 878?\nAnswer: 1399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.793 != -0.05?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 211474 and 4042.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -211*m**3 + m*u - 8*u + 39 wrt m.\nAnswer: -633*m**2 + u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.365 + -0.7255. Round f to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (((-4)\/(-1))\/2)\/1. Suppose -q + 24 = -5*d, -d + 13 = 17. What is the third derivative of p**2 - 4*p**n - 7*p**q - 3*p**2 wrt p?\nAnswer: -168*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22892941 plus -288459?\nAnswer: 22604482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d + 26*d**2 - 183*d**6 + 30*d**2 - 13*d - 49*d**2 wrt d?\nAnswer: -21960*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29\/6 + -13\/3. Let l - 1\/2*l**3 - c*l**2 + 0 = 0. What is l?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 363 and 844437?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3266 - -3383. Put 3, 0.43, h, 0 in descending order.\nAnswer: h, 3, 0.43, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 10.5. Let f = 17582\/13191 - -2\/4397. Which is the nearest to r? (a) 1 (b) f (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.632281 centimeters in millimeters?\nAnswer: 86.32281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 5:13 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 2293356433 to the nearest one million.\nAnswer: 2293000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppp when three letters picked without replacement from doop.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m. Let b(r) = -3*r - 4. Let w(l) = 3 + 0*l + 0*l - 2*l + 4*l. Let n(h) = 3*b(h) + 4*w(h). Calculate n(i(a)).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - 1 + 1)*(4*a**3 - 4*a**3 - a**3) + (-2*a - a - a)*(0*a**2 - a**3 + 0*a**2).\nAnswer: 6*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a*a\/(a*a**(-2\/5)*a))))\/((a**(1\/7)\/a)\/a))**(-47) assuming a is positive.\nAnswer: a**(-3713\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 447*t - 13. List the prime factors of u(2).\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 6:51 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t**4\/9 + 4474*t**3\/9 + 2590*t**2 + 23276*t\/9 + 4432\/9 = 0. What is t?\nAnswer: -554, -4, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 130 - 17?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2467 + 2467 + 46*a**3 + (a - 4*a + 2*a)*(0*a**2 - 2*a**2 + a**2).\nAnswer: 47*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 10*z**2 - 4*z + 12. Let b(t) = -3*t**2 + t - 4. Suppose 3*u + 23 = 2. Let k(d) = u*b(d) - 2*w(d). What is k(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -12*j + 78*j - 335. Sort -9, 53, j in descending order.\nAnswer: 53, j, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9, -0.5, -2\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.609 + -0.109. Which is the closest to -1? (a) -1 (b) 1\/4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 187\/540 and -53\/16920.\nAnswer: 50760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 3)*(4380*k - 1238*k - 479*k)*(-2*k**2 - 5*k + 5*k).\nAnswer: -15978*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 6.5, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10975255091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6966*g + 8992?\nAnswer: -6966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1.8, 3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4\/23, -956, -7, -0.1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q + 1. Determine i(7).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -50*p. Let f(b) = -2*b**2 + 90*b - 787. Let t be f(33). Let q(m) = 25*m. Determine t*q(l) + 2*h(l).\nAnswer: 25*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 0*w + 4*w)*(2 + w + 10*w - 5*w).\nAnswer: 18*w**2 + 6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -262 times 298.46\nAnswer: -78196.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 2, -4136\/437?\nAnswer: -4136\/437","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -547*j*y**3 - 337*j*y**2 + j*y + j + 874880*y**3 - 2*y**2 with respect to j.\nAnswer: -547*y**3 - 337*y**2 + y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 84, 115, 148, 183, 220, 259, 300?\n\"Answer: t**2 + 28*t + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45 and 12581505.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 + 7*k + 10. Let b(o) = o**2 + 7*o - 3. Let y be b(-8). Suppose -2 = -y*p + 38. Let d be s(p). Let j(x) = -x**2 - 2*x + 2. Calculate j(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1 - (1 - -14 - 15).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -253179 - 0.\nAnswer: -253179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -427 <= -419?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-20)\/(j*j*j**(-1\/19)*j)*(j**(1\/12))**(4\/21) assuming j is positive.\nAnswer: j**(-27449\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 16. Let m be i\/44 - (-92)\/(-22). Let p = 1 - m. Sort 3, p, 1 in descending order.\nAnswer: p, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -103114698 at most as big as -103114701?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 40163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 18. Let l = z + 11. Suppose l*p - 8 = 2*p. Solve -5*s + p*s = -4*d - 20, s = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.08 + -16.26. Let u = -0.18 - v. Let r = u - 11. What is the second biggest value in 2\/9, 0.5, r?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1024 and 83 + (2184\/(-756))\/((-4)\/18)?\nAnswer: 3072","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 5*v + 12. Give x(-6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16903 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1670 - -1665. Let b(m) = 18*m**2 + 5*m + 4. Let k(s) = 27*s**2 + 8*s + 6. Give v*k(l) + 8*b(l).\nAnswer: 9*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 27 = -3*m, 25*f - 30*f = -4*m + 35 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 33*s**3 + 2*s**2 - 6*s + 6. What is the tens digit of f(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.05, -1\/4, 29, 3?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 58.62559 centimeters?\nAnswer: 586.2559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0247736679 rounded to 6 dps?\nAnswer: -0.024774","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - 1)\/(4\/2). Let l = 38 - 36. Solve t = l*a + 3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.3 - -85.3. Let o = -81.9999967 + h. Round o to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 5232 = -73*f + 77*f, -2*f - 3*l + 2641 = 0. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 4*j + 11. Let q be (-4)\/(-6) - (-327)\/j. Let v = -22 + q. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267 a factor of 722235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/40 - 488\/190 and (-2747)\/328 - (-6 + 0).\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-317)\/3487)\/(-1*(-4)\/2*4\/8).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -43.024 - -0.024. Let c = -43 - d. Let y = 4.3 + -0.3. What is the closest to -2 in c, 0.4, y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 3. Suppose 0 = n - 5 + 2. Let z = n + u. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 3*b**2 - 9*b + 10. Let j be a(3). Sort -4, j, 17.\nAnswer: -4, 17, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2 - 75*t - 1968.\nAnswer: 3*(t - 41)*(t + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -4*o**2. Let z(h) be the third derivative of 0*h**4 - 2 + 54*h**2 + 0*h**3 - 7\/4*h**5 + 0*h. Determine z(q(k)).\nAnswer: -1680*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23 + 1 + (1 - 1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - -17. Let v = l + -31. Let d = 12.092 + v. Round d to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2. Let d(z) = -2539559*z - 4147. Let q(x) = 3675*x + 6. Let p(o) = 6*d(o) + 4147*q(o). Give p(h(i)).\nAnswer: 2871*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (((-3300)\/6)\/5*(-102)\/(-102))\/(-2)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -4*u**2 + 14 + 13*u**2 - 5*u**2 + u - 3*u**2. Is f(0) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6109 from -0.721291264.\nAnswer: 6108.278708736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27345 is divided by 13605.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 5:00 PM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 273 a factor of 853230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 4*v. Let l(q) be the first derivative of 0*q - 3 + 0*q**2 - 2\/3*q**3. Calculate l(y(n)).\nAnswer: -32*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55, -5, 0.1, -0.3 in increasing order.\nAnswer: -5, -0.3, 0.1, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94234587?\nAnswer: 3, 17, 1847737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/((-3)\/((-630)\/(-238))*(-355)\/(-71))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 54*d. Let h(r) = 28*r + 1328. What is a(h(c))?\nAnswer: 1512*c + 71712","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - 0)*(-6)\/18. Let d = 60 + -68. Let x be ((-40)\/15 - d\/(-6))\/(-314). Do j and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 17*l**2 - 9*l - 12. Determine d(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 266453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 3*y - 2*y + (2*y - 3*y + 3*y)*(-2 - 3 + 4) + 0*y + y - 3*y)*(y - y - 2*y**2).\nAnswer: 14*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46887390 by -157870.\nAnswer: -297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + -7206226\nAnswer: -7206225.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -7*p + 4. Let j(o) = o. Suppose 0 = 2*u + 3*d + 3, 0*u = -2*u - 4*d - 8. Let g(m) = u*j(m) + w(m). What is g(8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1714887550 and 5574?\nAnswer: 1858","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4125, -16512, -37157, -66060?\n\"Answer: -4129*p**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 6*b - 4*b)*(203*b**2 - 231 - 205*b**2 - 3*b**3 - b**3).\nAnswer: 4*b**4 + 2*b**3 + 231*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1086964, -1086980, -1086998, -1087018, -1087040?\n\"Answer: -u**2 - 13*u - 1086950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of i**5\/180 - 11*i**4\/36 - 353*i**2\/2 + 63. Let d(g) be the second derivative of o(g). Suppose d(f) = 0. What is f?\nAnswer: 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 9:17 AM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 28 - 1?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4610, -5, -46 in decreasing order.\nAnswer: -5, -46, -4610","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63 - -4*(-3)\/(-6).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*t + 8 = 4*s - 50*t, 5*t - 2 = 3*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 12 - 8. Let o be 3*(-10)\/10 + 31. Let p = z + o. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99442 is divided by 2260.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 8 = 4*a, 2*n - 8 = a - 2*n. Suppose -l - 2*l + 47 = 4*h, 3*h + 12 = a. Solve 2*s - 13 = 7*s - 4*x, 3*s + l = -2*x for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of 653*c**4\/24 - 125*c**3\/2 - 50*c**2 + 6. Find the first derivative of b(y) wrt y.\nAnswer: 653","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 - (-20 + 13) - 7.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(24)\/((sqrt(432) + (-1*sqrt(432) - sqrt(432)) - sqrt(432)) + sqrt(432)) + (-4*sqrt(2)*2 - (sqrt(2) + 1 + sqrt(72) + sqrt(2)))**2 + 4.\nAnswer: 191*sqrt(2)\/6 + 517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8113778 millennia to months.\nAnswer: 9736.5336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -104*c - 4056. Let g be y(-39). Let w(v) = -v**3 - 5*v**2 - 3*v + 5. Let j be w(-4). Let u be -2 - (-2 + j)*0. Sort g, u, -4 in decreasing order.\nAnswer: g, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 534130*q**5 - 4842804*q**2.\nAnswer: 32047800*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -815 + 815. Suppose 8 = b - n, 4*b = -f*b - 2*n + 56. Calculate the highest common divisor of b and 804.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9990 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/5 of a microgram in nanograms?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1127*c*i**2 - 1126*i**2 wrt c?\nAnswer: -1127*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -227968452*y**3 - 451*y**2 - y - 98828?\nAnswer: -1367810712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from {q: 2, y: 8}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -248, -502, -766, -1040, -1324, -1618?\nAnswer: -1922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 41156248 to the power of 1\/3, to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17 - 25307010?\nAnswer: -25306771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*r + 4*r + 10. Suppose -r*w + 56 = 2*w. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -24*b**2 - 77 + 77. Let c be 177\/3 + (-4 - -2). Let d(t) = c - 2*t - 57. Calculate o(d(l)).\nAnswer: -96*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**2 - 15*r + 4. Let h be p(-7). Let z be (1*2)\/(h + 54\/(-6)). Solve 0 = 2*x + d + 7, 3*x = 2*x - 2*d + z for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2009.\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28 - -29. Let v = -10 + 7. What is the closest to 0 in m, 0.7, v?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.9390253 months to decades.\nAnswer: 0.0244918775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.7 + 3.14. Let b = f - 2.44. Let k(i) = i**2 - 3*i + 2. Let p be k(3). Is p greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - 12*m - 26. Let x be l(14). Solve 3*i + 3*n + 5 - x = 0, 4*i + 5*n = -2 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -143*f**3 - 5*f**2 + 65*f - 60. What is s(1)?\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) - (-1*sqrt(80))**2) + sqrt(80) + sqrt(5) - (sqrt(5) + (1*sqrt(605) - sqrt(605)))**2.\nAnswer: -85 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c - 10 + 10)*(5460460*c - 5460460*c + 887*c**4) + 2*c**5 + 2*c**4 - 2*c**4 + 2*c**5 + 0*c + 0*c.\nAnswer: -3544*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -9270*-1326\nAnswer: 12292020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express g**4 - 15*g**2 - 3 - 9*g**3 + 7*g**3 + g**4 + 4*g**3 - g**4 as j*g + u*g**4 + p*g**3 + c + s*g**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156 + 454 - 183 + 187 + 2*k**3.\nAnswer: 2*k**3 + 302","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3*d**2 + 2*d - 1. Let o(r) = -r**2 + 6*r - 2. Let i be o(5). Let c = -2 + i. Let z be v(c). Let t(w) = 4*w**2 + w - 1. Calculate t(z).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -14 - 4\/(20\/(-25)). Let y be g\/((-99)\/2) + 2\/(-11). Solve y = 6*v - 3*v + 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14627*o - 3520 = 14407*o for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -98, 67, 342, 727, 1222?\nAnswer: 1827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3 + -1 + sqrt(13))**2 - (sqrt(13) + sqrt(26)\/sqrt(2) + -1)) + -1)*-2.\nAnswer: -58 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 486962?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 6. Let w = m + 0.7. What is the biggest value in w, 2, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -82388 and -82389 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from appdpzttatzpta.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 - 15*l + 39. Suppose 17*c = 13*c + 48. Let y be a(c). Solve 0 = 5*p + 2*z - 1, y*p + 0*z - 3 = -2*z for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of m**8\/1344 - m**5\/12 + 3*m**4\/4 - 5*m. Let b(d) be the third derivative of j(d). Differentiate b(q) with respect to q.\nAnswer: 15*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of 212*c**6\/5 - 778*c**4\/3 - 3164*c. What is the third derivative of i(l) wrt l?\nAnswer: 30528*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.5 - 0.2. Let u = 0.2 + y. Let a = 1 + 0. What is the nearest to a in u, -4\/3, -0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 58*o**2 + 60*o + 183. Calculate c(-57).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z - 7. Let r be d(-4). List the prime factors of -23*r\/(-3)*-1.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2331?\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z + 4*z + z**4 + (-3*z - 3*z + 5*z)*(-2*z**3 - z**3 + 5*z**3) - 3*z**4 + z**4 + z**4 + (0*z**3 - z**3 - 4*z**3)*(0*z - 3*z + z).\nAnswer: 8*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -16244, -16245, -16246, -16247, -16248?\n\"Answer: -m - 16243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -209 + 531. Let j = -184 + l. Is 24 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**3 - 4*t**2 + 117*t + 267. Calculate i(-7).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h**2 - 5*h + 3. What is c(3)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 98*a**3 - 12 + 203*a**3 - 14*a + 14*a - 106*a**3.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -17481182*b**4 + 18694426?\nAnswer: -69924728*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 2136766755.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 9:16 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 23 = 193. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lm when two letters picked without replacement from lmmlmllmllmmm.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 4*x**2 + 3*x - 3. Let t(z) = -z + 3. Let c be t(3). Suppose -i + 2*i - 12 = c. Suppose 0 = -a - 2*a + i. Give j(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 88 + 34. Calculate the smallest common multiple of q and 15.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of k**5\/60 - 3*k**4\/8 - k**3\/3 + k**2. Let u = 473 + -461. What is the tens digit of n(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4*d - 37 + 93 = 0, 3*m - 64 = -4*d. What is the lowest common multiple of ((-27)\/(-3))\/((-6)\/(-4)) and m?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 3 + j + 4)*(-9*j - 47*j - 2 + j) to the form c*j + d*j**2 + t and give d.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 2 u, and 1 a when four letters picked without replacement from uftaukqqtfutffq.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 32 = 0, -5*j = 2*y - 61666 - 27614. Does 46 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1354 and 176602?\nAnswer: 119559554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 27893238 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0697 and -0.0592293?\nAnswer: 0.0104707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/7 (b) 0 (c) -3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of t**6\/120 - t**5\/30 + 5*t**3\/3 + 3*t**2. Let g be 8\/44 - 4\/22. What is the least common multiple of 4 and f(g)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2. Let h(k) = -59*k - 2. Calculate h(q(f)).\nAnswer: -59*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 8585, 8590, 8593, 8594, 8593?\n\"Answer: -u**2 + 8*u + 8578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (69*(-4)\/84 - -3)\/(-1). Let o = -6.8 - 0.2. Which is greater: o or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2cc8 (base 13) to base 8.\nAnswer: -14672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 53344917069646 less than 3?\nAnswer: -53344917069643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175 = 2*g - 155. Suppose g = -m + 6*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 28 = -r + 5*r, 2*d = 5*r - 26. Find the first derivative of 0*s**2 + 2 + 2*s**r + 0*s**2 - 3 wrt s.\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 6, 1\/9 in increasing order.\nAnswer: 1\/9, 6, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 97.948 times 9\nAnswer: 881.532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 263*x - 257*x - 62232 = 0. Let g = x - -1525. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2277491.\nAnswer: 79, 127, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 116.089319 to 1 dp.\nAnswer: 116.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a tonne in kilograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 66 + -20. Suppose -b = 3*f - 1, -2*f - 6 = 3*b - 4*b. What is the tens digit of m\/4 + f\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-26)\/k*k*k)\/((k*k\/(k\/(k\/k**(-9\/5))))\/k))\/(k**(1\/11))**(1\/64) assuming k is positive.\nAnswer: k**(-97861\/3520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 385 is divided by 92.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -581 = -554*q + 339 + 277 - 89 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 21870*g**2*y**3 - 2*g**2*y - g + 6113*y**3 - 2*y**2 wrt g?\nAnswer: 43740*g*y**3 - 4*g*y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31878 divided by 207.\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3455 - 372*a**5 + 3455 + (0 + a**4 + 0)*(-4*a - 2*a + 3*a).\nAnswer: -375*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 766*w**2 - 1845*w**2 + 1067*w**2.\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 184 and 4.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of 0*o + 1\/60*o**5 + 3*o**2 - 1\/8*o**4 - 2\/3*o**3 - 1. Let f(g) be the second derivative of u(g). Factor f(r).\nAnswer: (r - 4)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(((-10)\/2)\/10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 3*g + g = 7*t - 19*t - 23, -5943*g + 4*t + 6 = -5945*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-296)\/(-2) - 3 - -2. Suppose 2*p + p = b. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(2 + -1 + 3). Suppose 20 = -d + 2*d. Suppose 3*s - 64 = 4*g, -g - 3*g = 4*s - 76. Solve d = -4*k - 4*c, -3*c - s = 4*k - j*c for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (6 - 3) + (0 - 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14280311 or -157083416\/11?\nAnswer: -157083416\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -396, -399, -402, -405?\n\"Answer: -3*h - 393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-216 - -244) + 1007\/(-36)?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/(-2) - 2\/4. Suppose -38 = -x*y - 16. Suppose 4*u - 2*u = 0. Solve -3*i - 4 = -u*i + 2*c, c = 3*i - y for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - r - 24. Give w(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*f**4*n + 14*f**4 - 259*f**2*n - 295838*n wrt f?\nAnswer: 20*f**3*n + 56*f**3 - 518*f*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -14*z**2 - 13*z + 628. Let i(v) = -17*v**2 - 12*v + 628. Let s(g) = 4*i(g) - 3*t(g). Differentiate s(c) wrt c.\nAnswer: -52*c - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - 5*l - 6. Let b = -7 + 8. Let s(i) = -4*i. Let m be s(b). Let z = 0 + m. Give d(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (32\/440)\/((-34)\/85)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7324949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27972 and 214452.\nAnswer: 643356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 + -9.2. Let u = w - 8.8. Suppose o + 3*a = -1, -3*o + 0 = 4*a - 7. Sort -5, u, o.\nAnswer: -5, u, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffqfffqdffdfff. What is prob of picking 1 d and 1 q?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 234 - 16\/12*-3. Suppose -5*t + j = -3*t. Does 29 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6762 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 56.5 + -45.5. What is the fourth biggest value in -2, 2\/9, h, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191454331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.1 + -2.1. Put 1\/2, o, -2 in increasing order.\nAnswer: -2, o, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16d7dd2 (base 14) in base 16?\nAnswer: -ac1604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) 1 (c) -1\/3 (d) -257681 (e) -0.4 (f) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pouo when four letters picked without replacement from ujopppppjppupojp.\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.046021 to three dps.\nAnswer: -0.046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 3 - 2 + (4 - 4 - 1)*(-1 - 1 + 0))*(m**3 + 10*m**3 + 0*m**3)*(0*m - 2*m**2 + 0*m).\nAnswer: -88*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*f + 15. Suppose f*s - 25 = 4*s + 3*n, 15 = -3*n. Suppose -17 = -3*h + s. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of 3*i**4\/16 - 65*i**3\/4 - 399*i**2\/8 - 201*i\/4 - 1594. Factor t(w).\nAnswer: 3*(w - 67)*(w + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of -1\/10*r**5 + 0 + 0*r - 7\/24*r**4 + 1\/6*r**3 - 5*r**2 + 1\/120*r**6. Let t be n(7). Put t, -3, -5 in increasing order.\nAnswer: -5, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.957 + 0.043. What is the third smallest value in 3, 5, a, 0.02?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*k + k + 75475. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5 + 0 + 7 + 6. Let s(g) = g**2 - 10*g**2 + p*g**2 + 7*g**2. Let j(c) = -3*c + 3*c - 4*c. Give j(s(a)).\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -5*q**3 + q - 2. Let m(l) = -l**2 - 16*l - 47. Let k be m(-4). Give z(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1378*a**3 - 496*a**2 wrt a.\nAnswer: 8268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 2:24 PM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -239 + 232 - (-5 + -1 + -25).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 2*l - 92. Let m(d) = d**3 - 3*d**2 - 2*d. Calculate the remainder when l is divided by m(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-31)\/(-31)*(-20)\/5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -19*v**2 + 7*v. Let f(r) = 56*r + 13*r**2 - 31*r - 30*r. Let z(x) = -7*f(x) - 5*o(x). Determine k, given that z(k) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 440 and 362296.\nAnswer: 1811480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5163030257 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21749, 21633, 21519, 21401, 21273, 21129, 20963?\nAnswer: 20769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 b when three letters picked without replacement from {b: 15, d: 4}.\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -291574124 and 2.\nAnswer: -291574122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51705, -51790, -51875, -51960, -52045, -52130?\nAnswer: -52215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7791207 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is 3.431 rounded to one decimal place?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1020 (base 4) to base 6.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29647779997 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*m**2 + 2*m**2 + 24*m + 2*m**2 wrt m.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1192 - 1187. What is the remainder when 436 is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (15 - 26 - 3)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -634 + 635 - (42 - 6)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3035, 2\/7, 3\/253?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**3 + 5*x + 0*x**2 + x**2 - 3*x + 2*x**2 to n*x + f*x**3 + m*x**2 + u and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 2*i - 5*j + 165, 4*i + 4*j = 312. Let v = i - 29. Suppose v = 5*s - 164. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 376 - 366. Solve -4*i + 5*w = -k, 5*w = 3*w + 4 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -85702 or -85701?\nAnswer: -85701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19959 is divided by 105.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1171*i - 1173*i - s = -2, 5*s - 124 = -67*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86 + 20*u**2 + 86 + 4*u**2.\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5 = -3*z. Suppose -5*n = 4*f - 8, 0*n = -3*f - 2*n + 6. Let h(j) = -f + j + 0 + z. Let g(a) = 4*a - 4. Give -g(t) + 5*h(t).\nAnswer: t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 19275 (base 10) to base 15\nAnswer: 5aa0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -658000 rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01587084 rounded to three dps?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 396568 by 99142.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5\/88 - 2\/11. What is the nearest to 2\/3 in 0.5, -1\/7, p?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7, -0.05, -2\/11?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13583057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 6*f**2 + f. Let u = 14 - 8. Let b(o) = 2*o**3 - 11*o**2 - 2*o. Let a(p) = u*b(p) + 11*y(p). Let a(c) = 0. Calculate c.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence az when two letters picked without replacement from {a: 9, z: 2}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = d + 3. Let z = -9 + 5. What is the biggest value in d, z, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 4 = 2*p + 4, 5*p + 3*q + 22 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 276.3428 rounded to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 PM and 5:32 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.681 - -0.66972. What is c rounded to three dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 20 = -4*q, 5*p + 0*p = -2*q + 10. Suppose p = 4*i - 6 - 54. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8650?\nAnswer: 2, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3 + ((6*sqrt(304)*-1)**2 - (sqrt(304) + -2 + (sqrt(304) - (sqrt(304) + sqrt(304)*3))))).\nAnswer: -54745 - 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 120929 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 308 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(10\/(-10)) - 1*8?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**1)**(-7\/2)\/(y**(-2\/15)\/(y\/(y\/(y*y*y**(1\/3)*y)*y))) assuming y is positive.\nAnswer: y**(37\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7 - 8\/(-1)) + -2. Is (-4)\/10 + 128264\/10 - f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -m*y**2 + m*y - 1141358752*m - 111107*y**2 + 62*y wrt y.\nAnswer: -2*m*y + m - 222214*y + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -16544363 at most -16544363?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t - 60 = 14*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 5) to base 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z\/(z**13\/z)))\/z**(2\/15) assuming z is positive.\nAnswer: z**(163\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22546 is divided by 90.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.9 (b) 21 (c) 6 (d) 5 (e) -199\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 5*o = -2*v + 29265, -2*o + 41006 = -7*v. Do -5859 and v have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-63)\/12)\/(18\/(-48)). Find the third derivative of m*f**3 - 3*f**6 - 14*f**3 + 4*f**6 - 8*f**2 wrt f.\nAnswer: 120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 30.8 (b) 2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.007 in -14, -2\/11, -0.6?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101044 is divided by 39?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vioo when four letters picked without replacement from oooodovvzvvvoii?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.7 + -1.2. Let f be 0\/(4\/(-6)*3). Suppose 2*d - 2 + 0 = f. Sort q, 4, d.\nAnswer: q, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12205148 is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -103*l**4 - 9127*l**3 - 97*l + 13276?\nAnswer: -1236*l**2 - 54762*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 14 = 2*n, 0*n - 3*n - 21 = -2*j. Let x(w) = 11*w + 77. Let z be x(n). Solve z = -3*t + 5*t - 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 430357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*l - 1472 = -1823 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*((-8)\/(-8))\/(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 100040480 to the power of 1\/3, to the nearest integer?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21855090 less than 21855079?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + m)*(2*m**2 + 0*m**2 - 59216*m + 59126*m) in the form j*m + l*m**2 + t*m**3 + u and give l.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 - 7*n - 4. Suppose -4*m + 21 + 3 = 0. Let c = 49 + -25. Suppose c = 2*h - m*h. Give o(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 less than -1942575?\nAnswer: -1942574.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8441792384 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20198?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65, 158, 275, 416?\nAnswer: 581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.3 or -0.25711?\nAnswer: -0.25711","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 39*p - 182457 - 169839. What is the hundreds digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.297364 and 3?\nAnswer: 0.892092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 921\/4 - 1\/4. Suppose -3*s = 2*s - f. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + 12*x + 86. Calculate q(17).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of u**5\/20 - u**4\/3 + 7*u**3\/6 - 2*u**2 + 19*u. Does 24 divide j(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72643?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34 - -32. Let b = 3 - k. Calculate the lowest common multiple of ((-11)\/(-33))\/((-2)\/(-6)) and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(330)\/(sqrt(44)\/sqrt(4)))\/(2*sqrt(6)*-3 + sqrt(6) + sqrt(54)\/sqrt(225) + sqrt(6)).\nAnswer: -30*sqrt(5)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + 5*d + 7. Let b be u(-5). Suppose 5*i = -3*p + 9, 5*p + 3 = -b. Suppose -i*s - 6 = -3*j + 18, -25 = 5*s. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.8 or 227?\nAnswer: 227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 16*u**2 + 38*u + 34. Let t be m(-18). Let k = 0.2 - 0.1. Let j be (-3)\/(-2)*(-3 - -1). Which is the nearest to k? (a) t (b) j (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/2*(-43)\/(-1290). Let k(j) be the second derivative of 7*j - g*j**5 + 0*j**4 - 1\/6*j**3 + 0*j**2 + 0. Find the second derivative of k(h) wrt h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 427 and 61.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1410438584 - 0.3.\nAnswer: 1410438583.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3 or 69?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 5*o - 16. Let i be u(6). Let j be (-105)\/i*(1 + -3). Let f = j + -11. Solve 5 + 7 = f*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1980 + 14322. What are the prime factors of o?\nAnswer: 2, 3, 11, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -3*r**3 + 2*r**2 + r. Let t(f) = 7*f**3 + 2*f**2 - 49*f. Give -q(a) + t(a).\nAnswer: 10*a**3 - 50*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8064 + -5?\nAnswer: 8058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -65 - -79. What is the highest common factor of 84 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 8*i + 16. Calculate y(-7).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -51252649922 and 0.07406.\nAnswer: -51252649921.92594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gpppppppppgppppppg. What is prob of picking 3 p and 1 g?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 5. Let n(o) = -o**2 + o**z - 2*o**2. Let r(m) = -m. What is r(n(h))?\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 11) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 0 - 2*w**2 + 0. Let l be (6 - 2 - 2) + 1 + -1. Let q(f) = -1403 + 1403 + l*f**2. Calculate v(q(g)).\nAnswer: -8*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 5 + 2 + sqrt(1573)*3.\nAnswer: 3 + 33*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 78469306?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 642 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 12:52 AM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 0 + 0*a + 4\/7*a**3 - 18\/7*a**5 - 34\/7*a**4 + 0*a**2 = 0.\nAnswer: -2, 0, 1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*m - 5*m - 36. Suppose -66 - 42 = -m*r. Suppose 5*d - 12 = 3. What is the remainder when r is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-7)\/((n*n**(-14\/9))\/n*n) assuming n is positive.\nAnswer: n**(-58\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b - 20. Calculate v(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 0 + (sqrt(5) + sqrt(45))**2.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 12:07 PM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -287 and -285 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/120 and 13\/77985?\nAnswer: 623880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 73530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -7*j + 1. Suppose 2*m = 2*q + 18, 5*q + 10 + 8 = -4*m. Let b(p) be the second derivative of 0 - 2*p + p**2 - 13\/6*p**3. Determine q*b(t) + 11*n(t).\nAnswer: t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144*t = 29*t + 690. Let l(p) = p**2 - 5*p - 16. Give l(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*b = -13, -4 = 4*d - b + 5. Let x = 802.6 + -803. What is the biggest value in 0.04, x, d?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {s: 3, p: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*w + 6 = 25*w. Suppose 2*s - 2*c = 0, -s + 0*s - w*c + 8 = 0. Solve 0 = -2*m - s*y + 8, m + 3*m + 3*y = 13 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*f = -41*f - 28 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11110 + -2?\nAnswer: -11112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -353 - -2?\nAnswer: -351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37.84879815 + -23.88878668. Let i = -13.96 + z. Round i to six dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r\/(r\/r**(1\/7)))\/r)*r*r\/r**15*r*((r*r\/(r\/(r\/r**(-4\/5)))*r)\/r)\/r**1)**(-3\/17) assuming r is positive.\nAnswer: r**(876\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 9684423*s**2 - 58476*s + 29238. Let v(q) = -1325*q**2 + 8*q - 4. Let a(y) = 2*l(y) + 14619*v(y). Let t(h) = -2*h. Determine a(t(p)).\nAnswer: -5316*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 42199 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - 6 - 31 - -25?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -71.9512 + 72. Let y = f + -36.9988. Let m = y - -38. What is m rounded to one dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 19790*w + 118. What is the ten thousands digit of i(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6430.3114132+0.1\nAnswer: 6430.4114132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -477 or -478?\nAnswer: -477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 347424 is divided by 1811?\nAnswer: 1523","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(108) - sqrt(108) - sqrt(432)\/sqrt(9)) + (sqrt(3) - (-4 + sqrt(3)*-2) - (sqrt(3) + -6*(sqrt(3)*1 + sqrt(3)))))**2.\nAnswer: -64*sqrt(3) + 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -3*i - 403, -149*t + 438 = -145*t + 2*i. What is the remainder when 1286 is divided by t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(t - 3*t + 4*t)*(-80*t**2 - 45*t**2 - 24*t**2).\nAnswer: 596*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of -235*u**3\/3 + 64*u + 104. Differentiate z(c) wrt c.\nAnswer: -470*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-21)\/6 + 2)*-4. What is the units digit of (104\/(-6))\/((-4)\/f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + b**2 - b + 2. Let j be a(0). Let t = 3 + j. Solve 0 = -h - 2*c, 0*h + t*h - 5*c = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3183182549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1250 and 817000?\nAnswer: 4085000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -10*m + 38. Let s be b(3). Suppose -83 = -s*j + 101. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 27 - 33. Suppose 39 = 7*s - m. Let c be 1*3*(-1 + 2). Solve -s*z = -z + 5, z + 16 = -c*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 2121010?\nAnswer: 2121010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1791, -3583, -5377, -7173, -8971, -10771?\n\"Answer: -b**2 - 1789*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*k + 2*n + 7 = 0, -20 = -5*n. Let d(u) = u**2 + 2*u - 15. Let q be d(k). Let c = 7 - 5. Sort -5, c, q, 4 in ascending order.\nAnswer: -5, q, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 0*z**2 + z**2 + 2 + z**3 + z**2 + 4*z + 2*z**2. Let h be r(-2). Factor 3*d**3 + 11\/4*d**h - 1\/4 - 1\/2*d.\nAnswer: (d + 1)*(3*d - 1)*(4*d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kxz when three letters picked without replacement from {k: 1, z: 5, x: 4, v: 3}.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 11*y - 6. Let k be z(11). Let x be 1\/((-3)\/k) + 0 + 2. Solve -4*r = 4*u - 6*u + x, -31 = 4*u + 5*r for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46 - 78. Let n = 52 - h. What is the greatest common factor of n and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7236 - -7240. Let f(b) = 2*b**2 - 11*b + 3. Let v(t) = t**2 - 6*t + 2. Calculate m*f(a) - 7*v(a).\nAnswer: a**2 - 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j = -8*w + 98, -4*j + 14 + 58 + 48 = 4*w + 76 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g**2 - g**2 + 0*g**2)*(282*g**2 - 11 + 7 - 236*g**2) + 0*g**2 - 3*g**4 + 0*g**2 + (1 - 1 + 2*g**3)*(3*g + 0 + 3 - 4).\nAnswer: 141*g**4 - 2*g**3 - 12*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sssl when four letters picked without replacement from {l: 6, r: 5, s: 3, q: 1}.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q + 10. Let f be z(3). Suppose -571*i + 573*i - f = 0. Solve -1 = -3*h + p, h - i*p - 3 + 1 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29.88904 + 29.9. Round i to three dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 2 (c) -0.0051 (d) 5 (e) -7736\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g - 22*g = -55. Solve 0 = g*i - 1 - 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30 + -22. Solve -3*c = -2*u + 11, -14 = 3*c - b*u + 3*u for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - 5*i + 6. Let s be j(8). Suppose 5*z = 5*d - s, 5*d = -0*z - 4*z + 12. Calculate the lowest common multiple of 8 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/60 and -97\/300.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 339160606?\nAnswer: 2, 169580303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*s**4 + 366*s**2 - 10507*s wrt s?\nAnswer: 24*s**2 + 732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f - 9*f - f + 25*f - 10*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 314, 1118, 2680, 5252, 9086, 14434?\nAnswer: 21548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2+659\nAnswer: 661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 796559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 4*w**2 - 5*w + 4. Let r be p(1). Solve 0 = 5*z - 10*z + r*f - 19, -3*z = 5*f - 9 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of c**2*d + 3*c**2 - 7587*c*d - 6061 wrt d?\nAnswer: c**2 - 7587*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -5 - 5. Let t(d) = -d**3 - 5*d**2 + d + 5. Let q be t(b). Suppose v = -q*v + 500000. Round v to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 b when three letters picked without replacement from {i: 1, b: 3, a: 2, j: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 3, 2, -4 in ascending order.\nAnswer: -6, -4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4913832211 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 92470597 a multiple of 504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(240)\/(sqrt(12) + sqrt(108) + sqrt(12)).\nAnswer: 2*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2\/5 (b) -3 (c) -4\/9 (d) 1126 (e) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -263884 and 4.\nAnswer: -1055536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 45166861?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2556 a factor of 2931020106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 3*(-6)\/(-9). Suppose -3*y + 80 = 2*y. Suppose 5*d = -5*s - 20, n*d = 5*s + y + 4. What is the smallest value in -0.1, -0.4, d?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9989 is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -m - 2 - 2356*m**2 - 44*m**3 + 4756*m**2 - 2398*m**2 in the form l*m**2 + g + i*m + p*m**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(126)\/sqrt(2))\/sqrt(7))\/(-2*sqrt(75))*4.\nAnswer: -3 - 2*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 179307 and 750204.\nAnswer: 65267748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 222\/91?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 421718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*n - 8 = -67*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 - 6*u + 1. Let d be r(6). Is (0\/1 + d)*13 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2312599438 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2258 - 1064. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 40 = 4*c, 2*c = -4*j - 3*c - 31609 + 31566 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 905745 = 19*n + 342338. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p + 6. Suppose -y + 19 = -3*g, -y = 5*g + 27 - 6. Let x be z(g). What is the greatest common factor of 24 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fgu when three letters picked without replacement from {e: 1, d: 1, u: 8, f: 6, g: 1}.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -77 + 48. Let u = w - -63. Suppose 4*f - 2*f - u = 0. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 + 1)*(1 - 10 - 2)*((2*q**2 + 0*q**2 - 3*q**2)*(3*q + 3*q - 5*q) - 109*q + 109*q + 18*q**3) to the form p*q + f*q**2 + t + i*q**3 and give i.\nAnswer: -374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5557 + -5551.861. Let p = z + -4.2303. Let o = p + -0.92. What is o rounded to three dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d - 1. Let g(h) = -h + 1. What is 3*f(n) + 6*g(n)?\nAnswer: -3*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 173 - 112. Let k be (t\/2)\/1 - 9\/(-18). Let z = k - -5. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -86341\/90 - -8578\/9. What is the common denominator of v and -101\/14?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - 6*b - 1. Let u(t) = t**2 + 5*t + 6. Let g be u(-5). Let p be a(g). Let y = -8 - -12. Sort p, y, 0 in decreasing order.\nAnswer: y, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-2) - -3) + 17963\/(-11). Let p = -1040 - k. Is 25 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 96 = 29*v - 28*v, 3*d + 4*v = -59 for d.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4520 divided by 3992\nAnswer: -565\/499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, p: 1, s: 3, n: 2, y: 7, m: 4}. Give prob of picking 1 s and 2 n.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 503, 1079, 1767, 2621, 3695?\n\"Answer: 9*u**3 + 2*u**2 + 507*u - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 690309603, 690309605, 690309607, 690309609, 690309611?\nAnswer: 690309613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -210846219 and -12.508.\nAnswer: -210846231.508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89776 divided by -181.\nAnswer: -496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 186 - 10 = -5*f, -3*j - 42 = f. Let b = f - -38. What is the least common multiple of b and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10618?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 - 17 = 4*x. Suppose 0 = -3*s - n + 20, 4*s + x = 3*s + 4*n. Find the second derivative of -u**5 + 3*u**s + 0*u**5 - 2*u wrt u.\nAnswer: 40*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of b**3\/3 - 2*b**2 + b - 8. What is s(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.1277636155 to one dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 16*a - 24. Let g be b(3). Suppose 157*q - 153*q = 1056. What is the highest common factor of q and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (84\/(-40))\/(-1)*(-605)\/726?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -48292 divided by 4?\nAnswer: -12073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*o**2 + 5*o**2 + 7*o**2)*(-1 + 0 + 2)*(-6 + 2 - 5).\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*u + 0)*(4*u - 4*u + 2*u**2)*(-2*u**2 + 2*u**2 - 8*u**2).\nAnswer: 32*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 520 is divided by 288.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-2)*21\/81*15*(-64)\/(-168)?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39 + 102. Suppose 0 = -c + 18 + h. Suppose -5*z + 10 = -5, 0 = 3*a - 3*z - c. Is 5 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 - 433722*c - 47028693321.\nAnswer: -(c + 216861)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 63*j**4 - 141*j**4 + 68*j**4 + 39*j + 15*j wrt j.\nAnswer: -120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 - 12*n - 3. Determine c(-14).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/8)\/((10\/(-12))\/(440\/(-132))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2)*z*z\/(z*z*z*z\/z**(5\/8)))**(3\/4) assuming z is positive.\nAnswer: z**(-81\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) + 1)*-6.\nAnswer: -72*sqrt(5) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -12*u - 31*u - 14 - 2*u**2 - 14*u + 4*u**2. Calculate the remainder when 51 is divided by a(29).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43 divided by 3176460\nAnswer: 43\/3176460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**2 + 143*j + 2020. Calculate h(-38).\nAnswer: -526","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.6 - 17.9. Let h = s - -13.299376. What is h rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/(-16))\/((12\/(-28))\/(-1)). Let x(h) be the first derivative of l*h**2 - 1\/3*h - 7\/24*h**4 - 5 + 1\/9*h**3. Let x(b) = 0. Calculate b.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-10))\/((-39)\/(-182))?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - 7*f - 18. Suppose -3*v = 3*j - 30, -5*j - 2*v + 41 = -6*v. Let z be n(j). Suppose z = -c + 70 - 6. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10680821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 6. Let k = -2 - t. Find the second derivative of k*w**5 - w + w**5 - 2*w**5 wrt w.\nAnswer: 40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 - -0.1. Let h = 74\/385 - -16\/77. Let q = 9 - 5. What is the closest to h in q, 2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45.16 + 44. Let b = 0.8 + p. Round b to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57 (base 13) to base 6\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 5 (b) -0.2 (c) 2\/147\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -5*d + 8*d + 33, 21 = 3*r + 5*d. Solve s - 4*a = 11, -3*a - r + 0 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109925717.\nAnswer: 11, 23, 39499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 4, p + 0 = 4*l + 8. Solve -9 = t + p*n + 6, 3*n + 30 = 3*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 106 - -3?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2. Let y(i) = 3*i - 4. Let r(t) = 8*t - 11. Let k(z) = 5*z - 17. Let u be k(7). Let x = 29 - u. Let j(f) = x*y(f) - 4*r(f). What is j(d(c))?\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2961 is divided by 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 2174.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/6, 1, -2, 13?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 3*m + 8. Let c = 163 + -155. Suppose -4*t + 5*n = t - 45, -m*n - c = 0. Calculate the remainder when 11 is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a\/(a\/(a*(a*a*a\/(a\/a**20))\/a*a)))\/a*a**17*a*a*a*a*a)\/(a**21\/a*a*((a*a**23\/a*a)\/a)\/a))**(-17\/6) assuming a is positive.\nAnswer: a**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8737 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 6*i**2 - i - 9. Determine c(-3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 987 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5975, -11941, -17907, -23873, -29839?\nAnswer: -35805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + 7*i**2 - 7*i + 2. What is the units digit of y(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -76774980*c**2*z + 4*c*z + 8156*c + 954*z - 2 wrt c?\nAnswer: -153549960*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4471.2792 microseconds in hours?\nAnswer: 0.000001242022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 9237645, 18475284, 27712925, 36950568?\n\"Answer: y**2 + 9237636*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 6) to base 11.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 123 + 71. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*v + 5*v + 3*v + 5*v + 4*v.\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of p**7\/3 - p**6\/15 + p**5\/20 + 113*p**4\/6 - 5*p**3\/6 - 12678*p. Find the third derivative of w(v) wrt v.\nAnswer: 840*v**2 - 48*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9889.7 + -9887. Is c > -16\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 532 and (-2)\/(10\/(-769 - -9)).\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 400199994 = -2*f, -5*f - 781446875 = 4*n + 219053133. What is f rounded to the nearest one million?\nAnswer: -200000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 49 - 47. Suppose -4*n - k*n = -336. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 822634373?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 6 = -q. Suppose -q*y = -0*y - 10. What is the remainder when y is divided by 3\/2 - (-2)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2)*(-2*d - 2*d + 5*d) + 0 + d + 0 + 0*d + 0*d + 2*d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -11\/2, -10, -88\/35, -4, 4.\nAnswer: -10, -11\/2, -4, -88\/35, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 6:02 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*(-6)\/(-8))\/(9\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 5*t**3 + 3*t**2 + 3*t. Let x(o) = 9*o**3 + 5*o**2 + 5*o + 1. Let r(j) = -5*n(j) + 3*x(j). What is the derivative of r(d) wrt d?\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/35 + (-4324)\/18095.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g = -2*g - 7. Let p(l) = 2*l**2 - l. What is p(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(208))\/sqrt(8))\/sqrt(2))**2.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z + 680 - 12800 = 0. Suppose -5*q - 4*y + z = 0, y - 1225 = -3*q - 4*y. Is q a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 + (0 - 0) + (-14218196)\/406628?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8624 bigger than -363?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-8) + (-30)\/(-8). Let x = -7 + 8. Let f be (x*-1)\/(2\/(-4)). Solve -3 = -m*o + t + 5, o - 2 = f*t for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10440 divided by 3480\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 429544.\nAnswer: 2, 53693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(684))*5)**2 + 4 + 4 + -4.\nAnswer: -300*sqrt(19) + 17129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 486 and 10.\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of k**5\/20 - 5*k**4\/12 - 5*k**3\/6 - k**2\/2 + 210*k. Determine f(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -5039*i - 45343. What is k(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**3 + 3510*z**2 + 3192588*z + 195708744 = 0. Calculate z.\nAnswer: -1722, -66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 6 = 3*w - 2*z, w = 5*z - 15. Put w, -2\/5, -2\/7 in increasing order.\nAnswer: -2\/5, -2\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 873915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m - 4. Let l be b(6). Let p = l - -2. Solve v = -p*v - 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 8:16 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 746a8 (base 12) to base 2.\nAnswer: 100101010111100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-15)*(-11)\/22.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (91 - 55) + -5 + 27 + (3 - (-14 - -4)).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 16. Suppose 3*m - 6 = 0, -2*m - 2 + y = -4*k. Is 584 + (-2 - 1)*k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + y - 1. Let d(l) = -l**2 + 4 - 4*l - 4. Let z be d(-3). Calculate w(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of r**2 + 11 - 4*r**5 + 0*r**5 + 6*r**5. What is the second derivative of w(f) wrt f?\nAnswer: 120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39 + 38. Which is the second biggest value? (a) 13 (b) 0.3 (c) g (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f**4 + 122*f**3 + 6*f**2 - 15?\nAnswer: 24*f + 732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3*b**2 + 7*b - 13. Let x be l(4). Let p be (-18)\/4*(-22)\/x. Let f(j) = j + 6. Give f(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 36182 - 36182 - 5*n. Let u(l) = -91*l**2. Determine c(u(b)).\nAnswer: 455*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -509*y - 512*y + 1021*y + 40*y**2 as f + l*y**2 + o*y and give l.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 12:16 PM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24) - -2*-1*sqrt(24))\/sqrt(8))**2 - -4*2*(1 + sqrt(3)).\nAnswer: 11 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from sjsjsssssssjssssjs?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 75 = 5*v. Let k = -21 + v. Let a(j) = 0*j + 5*j + 8 - 3*j. Calculate a(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 - -60. Let x be (42\/35 - 0)\/(3\/f). Solve 2*u = 4*o - x, 2*o + 3*u = 6*o - 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 801239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from uuuluuulu?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -19*x + 146. Let z(b) = 9*b - 77. Calculate -6*u(l) - 13*z(l).\nAnswer: -3*l + 125","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 14429279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, o: 1, s: 1, i: 1, c: 1, m: 1}. What is prob of picking 2 s, 1 c, and 1 o?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 1. Let v = 30 + -13. Let x = v + -14. Solve -l = -x*w + 2*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d**5\/17 + 78*d**4\/17 + 6684*d**3\/17 - 32654*d**2\/17 + 32892*d\/17 + 10368\/17 = 0.\nAnswer: -27, -1\/4, 2, 3, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35 by 31816.\nAnswer: 35\/31816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = y + 20*c - 19*c, 3*y - 3 = 3*c. What is the biggest value in -1, 11, y?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -129, -532, -1215, -2178, -3421, -4944, -6747?\n\"Answer: -140*s**2 + 17*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 127342?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-264*b**2 + 21 - 262*b**2 + 524*b**2)*(26 + 40 + 35 + 25).\nAnswer: -252*b**2 + 2646","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 397803?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8\/5*j**3 + 12\/5*j**2 - 8\/5*j + 2\/5*j**4 + 2\/5 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -3*k**2 - k. What is o(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - 5*d = -2*j - 193, 4*d = 2*j - 64. Let g be (3 - (2 - 0))*-23. Let h = g + j. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -26, 3, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.09 - 0.09. Let s = b - 0. Let d = s - 3.99999987. What is d rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1275001 and 70055?\nAnswer: 6375005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 992\/7? (a) 2 (b) 13 (c) -2\/3 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2100 (base 10) in base 4?\nAnswer: -200310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02256 - 11109513690.\nAnswer: -11109513690.02256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -918856198 minus -616?\nAnswer: -918855582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62685.\nAnswer: 3, 5, 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/73 in 26\/19, -0.065, 3, 0.5?\nAnswer: -0.065","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -29*q + 10. Calculate the remainder when t(-3) is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d**4\/2 + 1785*d**3\/2 + 21765*d**2\/2 + 52755*d\/2 + 16389 = 0 for d.\nAnswer: -9, -2, -1, 607","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - -2. Suppose 0 = j*d - 0*d. Find the third derivative of -l**5 + l**2 + d*l**2 - 2*l**2 wrt l.\nAnswer: -60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0162 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5133194\/233 + -22031. Let o = 17065\/4194 + s. Find the common denominator of o and 37\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 5*i - 0*w - 1, i - 5 = 5*w for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 2:51 PM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -19*l + 13. Let c(z) = 9*z - 6. Let t(f) = 13*c(f) + 6*y(f). Suppose -34 = 5*o - 3*d + 21, 3*d - 39 = 3*o. Let p(a) = -4*a. Give o*t(n) - 5*p(n).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.08 + -0.08. Let j = 1.2 - m. Let z = -303\/14 + 43\/2. Which is the biggest value? (a) z (b) 4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 12*n**2 - 4*n - 3. Let c be y(-1). Solve 5*j - 3*u = -17, -4*j + 5*u = -6*j - c for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o + 0 + 0 + (0 - 1 - 1)*(2*o + 0 + 0) + 1 + o - 1 - o + 0*o - 2*o - 18 + 26*o + 43 - 24.\nAnswer: 19*o + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 13.8, -0.3, 2\/11, 2 in increasing order.\nAnswer: -0.3, 2\/11, 2, 13.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.9 - 0.1. Let x = o - -2.2. Sort 2, x, -0.5 in increasing order.\nAnswer: -0.5, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -29*m. Let u(h) = 209502*h - 7. Determine c(u(t)).\nAnswer: -6075558*t + 203","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 69.943 + -70. Let h = q + -34.943. Let o = h + 35. Put 10, 1\/4, o in descending order.\nAnswer: 10, 1\/4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1581 (base 11) to base 16.\nAnswer: 7e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7a79 - -5?\nAnswer: 7a81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-318)\/9*1989\/(-102) + -6 + 1. Calculate the highest common divisor of o and 23598.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37.3 - -37. Which is the third smallest value? (a) -0.4 (b) i (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3362 + 11436. What are the prime factors of n?\nAnswer: 2, 11, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13\/36 - -5\/36. Suppose 18*x - 27 = 15*x. Let a be x\/30*15\/18. Sort z, 2, a.\nAnswer: z, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 453541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.5 or -2\/7?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*b - 568 + 185 + 257 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -82*c**2 + 2. Let s(h) = 3*h + 62. What is n(s(b))?\nAnswer: -738*b**2 - 30504*b - 315206","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 7, -32, 5, 0 in ascending order.\nAnswer: -32, -5, 0, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2558, 5111, 7662, 10211?\n\"Answer: -b**2 + 2556*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*n - 85 = 17*n. What is the remainder when 132 is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160 = 52*l + 174 + 82 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 131.62 + -129.62. Which is the nearest to -0.2? (a) 4 (b) -30 (c) 85 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3176 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 5*j**2 + j - 16. What is v(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus 12182643123.6?\nAnswer: -12182643121.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/5, 3, -5\/16?\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 11*g**3 + 9*g**2 + 9*g - 3. Let c(f) = -3*f**3 - 2*f**2 - 2*f + 1. Determine 9*c(i) + 2*y(i).\nAnswer: -5*i**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -105*x - 107. Determine w(-9).\nAnswer: 838","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25026 = 559*s - 301*s for s.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 9:20 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -726*c + 731*c - 435 = 0. What is the greatest common divisor of 145 and c?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2 = -8. Suppose -151*x**4 + 54*x**4 + 32 + 112*x**2 + 288*x - 224*x**s - 34*x**5 - 77*x**4 = 0. Calculate x.\nAnswer: -2, -2\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12 + (0 - 3))\/((-1)\/1). Suppose -q = -4*d - 0*w + 3*w, 5*d - 2*w - 10 = 0. Factor -1\/4*v**3 + d*v - 1\/8*v**4 + 0 + 0*v**2.\nAnswer: -v**3*(v + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.069 - 3.969. What is x rounded to 1 decimal place?\nAnswer: -3.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*u**2 - 26*u**2 + 64*u**2 - 18*u**2.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/1095 and 8*5\/(-630)*171\/(-48).\nAnswer: 30660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 - 3)*(361 - 61 - 55 + (0 - 1 - 1)*(-4 + 0 + 5) + 2 - 5 + 4)*(0*m**3 - 2*m**3 + 5*m**3) in the form t*m**2 + x*m + j + s*m**3 and give s.\nAnswer: -732","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -88*j + 84*j - 45, l + 25 = -2*j for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -18292 + 0.3?\nAnswer: -18291.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4241*z - 9*z**3 + 3 - 4241*z + z**3 - z**3 + 3*z**3 + (-1 - 3 + 2)*(-3*z**3 + 5*z**3 + 0*z**3) + 2*z**3 + 2*z**3 - 2*z**3.\nAnswer: -8*z**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.44 + -0.2469.\nAnswer: -0.6869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 4:42 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(847) + (sqrt(84)\/sqrt(3))\/sqrt(4).\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 0, -4, -2.\nAnswer: -16, -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 3*r + 22, 4*r + 0*r + 16 = -p for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 330.6916 millilitres?\nAnswer: 0.3306916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1960.026 + -1964. Let k = z + -0.026. Let m = -2 + 1.7. Which is the third smallest value? (a) -2\/15 (b) m (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8.8 and -182395?\nAnswer: 1605076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37448070 is divided by 15649.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612) + sqrt(612)*2 + -1 + -1*(sqrt(612) - (sqrt(612) - -1*sqrt(612))))*5)**2.\nAnswer: -1200*sqrt(17) + 244825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 348 and 58476.\nAnswer: 1695804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b + 21. Let x be (-3 + 4)*(-11 + -4). What is the units digit of o(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -j - 5*d + 4, 2*j + d - 1 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 - ((-7 + 10 - 36) + 50)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2*sqrt(17) + -5) + 3)**2.\nAnswer: 272*sqrt(17) + 1377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c**2 - 2*c - 7. Suppose 0 = m + m. Let r be -2 + m + 18\/2. Let o(x) = x**2 + x + 3. Let q(a) = r*o(a) + 3*h(a). Solve q(w) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 195 + -193. Which is the third smallest value? (a) q (b) -1 (c) -67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 3*t - 15 = 0, u + 3*t - 1013235 = -1013244 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -282.132811 rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**19\/q)\/q*q*q**(3\/7)*q assuming q is positive.\nAnswer: q**(136\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/11 + (138 - (-332260)\/(-1628)).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 9*s**3 - 15*s**2 + 12*s. Let v(p) = -p**2. Let w(d) = r(d) - 15*v(d). What is the second derivative of w(t) wrt t?\nAnswer: 54*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.041 and 101.15.\nAnswer: 101.191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 67102599 and 7.\nAnswer: 469718193","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -v - 5, 17*h = 4*v + 19*h + 2 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2115 is divided by 700.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -770 + 514. Is 6\/(-21) - (h\/14 - 0) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1028 - -1047. Sort 6, 3, q in increasing order.\nAnswer: 3, 6, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 18 + -20 + 9\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16098 (base 10) to base 3.\nAnswer: 211002020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, 2\/11, -1, -17, -5\/6, 4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8ba (base 13) in base 15?\nAnswer: 6a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -532 divided by -45.\nAnswer: 532\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10155a9 + 1?\nAnswer: 10155aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/3)\/(3144\/(-34191)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/377)\/(240\/1560).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -66539313 by -22179771.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 436524 and 416682?\nAnswer: 9167004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37 + -15. Solve 3 + j = -5*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 9 + (10 - 30) + 10 + -10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 1. Suppose -d*f + 11 = -5. What is the remainder when 15 is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119094257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-28)\/8)\/1)\/((-2)\/4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 less than 170943812065?\nAnswer: 170943812115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = 3*v + 71 - 66, -5*v = 4*y + 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -183056100 rounded to the nearest one hundred thousand?\nAnswer: -183100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 7:39 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - v**2 - v - 1. Let j(i) = -6*i**3 + i**2 + 5*i + 3. Let p(b) = j(b) + 5*t(b). Let o be p(-2). Which is greater: -13 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*l + 86*l + 4*s - 4964 = 0, 994 = l + 2*s. Suppose 0*q - 939 = -3*q. Suppose -q = 7*b - l. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*z**3 - 30*z**3 + 89*z**3 + 8*z**3.\nAnswer: 115*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d*d**(-2\/3)*d*d)\/d)**10\/(d**(-2)*d*(d*d\/((d*d*d\/d**0*d*d*d)\/d)*d*d)\/d) assuming d is positive.\nAnswer: d**(79\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 12*k**2 + 2. Let y(l) = -l**2 + 10*l + 12. Let u be y(11). Let g = 6 - 4. Suppose v + g = u. Let x(a) = a**2. Calculate v*h(w) + 10*x(w).\nAnswer: -2*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47\/(1692\/(-72))*-18.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 18 = -21 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - (32\/10)\/2. Let u = 154 + -153.5. What is the closest to s in u, 0, -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 12:58 AM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175 = 7*n - 0*n. Is 8 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/16050468 and -40\/12037851?\nAnswer: 48151404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - h = 81, 6576*p - 3*h = 6562*p + 383 for p.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - (404\/84 - 3). Let p = q - -2\/21. Factor -4\/7*m**2 + 2\/7*m**4 + 4\/7*m**3 - p*m**5 - 2\/7*m + 2\/7.\nAnswer: -2*(m - 1)**3*(m + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(1\/(-2)*-4). Let d = q - -5. Suppose 2*b = 2*u - 16, -u - 4*b - d - 2 = 0. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 3*k**2 + 17*k - 25. Calculate x(5).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p**2 - 1134*p + 65758. What is d(-620)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o**3 - 49*o**2 + 27*o + 34. Let q be f(16). Which is bigger: 204 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -85 - -70. Let f = z + 24. List the prime factors of 892\/7 - f\/21 - 0.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5\/5384 - -3031\/2692. Let 1\/4*b**3 + 3\/8*b - f*b**2 + 1\/2 = 0. Calculate b.\nAnswer: -1\/2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1410 divided by 5\nAnswer: -282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8941 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -81707 or -81704?\nAnswer: -81707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 116*k - 118*k - 2*f, 0 = -2*k - 3*f - 21 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5305 is divided by 533.\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 4*j. Let d be y(5). Which is the smallest value? (a) -2 (b) 3\/5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4 + 0.4. Let x = -3.5 + -0.5. Let g = -3.8 - x. What is the third biggest value in -2, u, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1637 + -0.8319. Let v = 0.66 + p. What is v rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(21) + (1*sqrt(21) - sqrt(21) - sqrt(21))))\/(sqrt(448)*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1731455 - 0.08.\nAnswer: 0.0931455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 10 - 4)*(3*m + 2*m - m).\nAnswer: -40*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 2:45 AM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 696 divided by 29\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 32999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(78)*-5 + 2*-4*sqrt(78))\/(6*(sqrt(600) + sqrt(600)*2) + sqrt(600) - sqrt(600) - sqrt(600) - (sqrt(600)*1 + sqrt(600))*-1)*2.\nAnswer: -28*sqrt(13)\/95","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 800.1 + -800. What is the nearest to 1\/2 in r, -3, -0.4, -27\/2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 279679 (base 15) to base 14.\nAnswer: 37832c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that i**5\/3 + 211*i**4\/3 + 3952*i**3\/3 + 25532*i**2\/3 + 61376*i\/3 + 48896\/3 = 0.\nAnswer: -191, -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 2*p**2\/7 + 23304*p\/7 + 277632 = 0.\nAnswer: -11568, -84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 509 - 509.1. Let j(v) = -v**2 + 12. Let t be j(0). Is k equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3652 = 3*r + 5*d, -74*r = -76*r + 2*d + 2408. Calculate the highest common divisor of r and 1755.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 90 - 89.9. What is the biggest value in 0.06, 2\/5, 4, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.295 + -5.5. Let b = o + 0.23. What is b rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - 88*y**2 + 853*y - 24. Calculate the remainder when 932 is divided by d(11).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27667\/9 - -3069. Let x = l - -95\/18. Which is greater: 0 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 43 + 41. Suppose 168 = -14*n + a*n. Let s(y) = y**3 - 7*y**2 - 7*y - 15. Let t be s(9). Calculate the highest common divisor of t and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (23\/(-1748))\/(6\/24)?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7678109?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**2 + 2*x**2 - x**2)*(46*x**2 - 33*x**2 + 65*x**2).\nAnswer: -156*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rpiirpapeppraip. Give prob of sequence eap.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) 0.02 (b) 0.2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 573080.\nAnswer: -1146160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48621 and 228?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (-5 - (5 + (8 - 12 - -4))).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*w**2 - 11*w**3 + 7*w**2)*((0 - 3 + 2)*(1 - 4 + 2) + 15 + 20 + 5).\nAnswer: -451*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*m + h - 5 = -28*m, 0 = 3*m - 3*h - 21. Suppose -4*x + 4 + 4 = 0. Suppose -2*y - x*y = -4. Sort m, 4, y in increasing order.\nAnswer: y, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 - 2*d. Suppose 2 - 5 = j. Let t(k) = k**2 - 3*k. Determine j*t(u) + 4*l(u).\nAnswer: u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12220111102 (base 3) to base 10.\nAnswer: -116273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63234346.\nAnswer: 2, 7, 4516739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6*-1*(-12)\/324\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -1000005*t - 45. Let v be p(-7). Suppose -4*s = -3*d + 10043886 - 31043866, -2*s + v = -d. Round d to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -57244 + 83513. List the prime factors of k.\nAnswer: 109, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 215040103 (base 7) to base 15\nAnswer: 120c531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -1.96. Let y = -139 + 141.96. Let g = k + y. What is the smallest value in -1, g, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -741049 (base 11) to base 8.\nAnswer: -4416751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2075 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**2. Let f(r) be the second derivative of r**4\/12 + r**3\/6 + 11*r. Let j(b) = 6*b**2 + 9*b. Let l(i) = -36*f(i) + 4*j(i). Calculate l(s(x)).\nAnswer: -48*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c*r**2*x*y + 2*c*r**2*y - 3*c*r*x**2 + c*r*x - 233*c*x**2*y - 2*r**2*x**2 - 5090*y wrt x?\nAnswer: -6*c*r - 466*c*y - 4*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c**2 + 91*c + 412. Determine o(45).\nAnswer: 457","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -578, 4, 5, 6, 0 in decreasing order.\nAnswer: 6, 5, 4, 0, -578","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -4 - 5. Suppose -837*g + 12 = -831*g. Suppose 2*r + c + 13 - 27 = 0, -2*r = g*c - 14. Calculate the lowest common multiple of k and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27225991 to the power of 1\/2, to the nearest integer?\nAnswer: 5218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2685?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 58*x - 61*x + 12. Suppose -484 - 19400 = -x*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 255*l**3 + l**2 - 5*l + 1. Let g(n) = 127*n**3 - 2*n + 1. Let u(q) = 2*a(q) - 5*g(q). Find the third derivative of u(j) wrt j.\nAnswer: -750","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20768*f**4 - 171 + 36*f - 20*f - 20771*f**4 + f**2 + f**3 - 12*f to the form d*f**4 + n*f + v*f**3 + o + p*f**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8)\/sqrt(2) + sqrt(4))*2 + sqrt(4))\/sqrt(512).\nAnswer: 5*sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 148 - 28 = 0. Suppose -4*o + r = -2*o. List the prime factors of (30\/4)\/(9\/o).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/95355 and -7\/116545.\nAnswer: 1048905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4991*x**3 - 238*x**2 + 753 + 772 - x - 1520 wrt x.\nAnswer: 29946","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b**2 - 10*b**2 + 26*b**2 - 4*b**2.\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 divided by 3?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2. Let j(r) = -633520*r. Determine g(j(x)).\nAnswer: -401347590400*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a**4 + 0*a + 0*a)*(-4 + 4 - 2) + (3*a + 0*a - a)*(4*a**3 + 2*a**3 - 4*a**3) + 633*a**2 - 633*a**2 - 22*a**4.\nAnswer: -26*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 235711 (base 9) in base 6?\nAnswer: 3013231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3 = -2, o + b = 12. Let m = -8 + o. Suppose m*k + 2 = 4*y - 3*y, 0 = -k. Solve 3*t - 4*d = -6*d + 7, -4*t + 14 = -y*d for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 3:04 PM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((140\/(-42))\/(-2))\/((-1)\/(-3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3176629 - -9811371. Round n to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 8*s + 46 = 0, 0 = 33*w - 30*w + 16*s - 14*s + 27 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.96 - 0.04. Let o = -169347 - -169346.5. Which is the nearest to s? (a) o (b) -5 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18\/54*(-6)\/(-14). Sort 0.1, 0.07, f in increasing order.\nAnswer: 0.07, 0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**2. Let g(b) = 4557*b. Give c(g(p)).\nAnswer: -41532498*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 3*o**2 - 4*o + 4. Let u be r(4). Let x be -3*u\/6 + 34. Suppose 0 = -m + x - 9. What is the remainder when m is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78454 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5\/1006 or -1?\nAnswer: 5\/1006","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1487\/3*t - 33*t**2 - 10.\nAnswer: -(t + 15)*(99*t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -11*b**2 + b. Let h be g(2). List the prime factors of ((-21)\/h)\/(2\/16).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -262511654 divided by -2.\nAnswer: 131255827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than 342910354?\nAnswer: 342910355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/3)\/z*z)**(5\/6)*(((z**1\/z)\/z)\/z*z)**(-2\/5)*((z*z\/(z\/(z\/(z\/(z**(-2\/5)*z)))))**(-2))**(-25) assuming z is positive.\nAnswer: z**(7211\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*t + 8. Find the second derivative of -17*v**t - 5*v - 5*v - 7*v + 5*v**3 wrt v.\nAnswer: -72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 703 by -37.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - 98*c**3 + 34 - 123 + 35 + 28 + 101*c**3.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 x when four letters picked without replacement from xaxxg.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -12674360, -12674358, -12674356, -12674354?\n\"Answer: 2*h - 12674362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-65)\/15 + 5)*6. Solve -3*q + b = -7*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202307 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 10:38 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z**3 + 54*z**2 + 73*z - 35. Let n(f) = -f**3 + 27*f**2 + 36*f - 17. Let l(v) = -6*i(v) + 13*n(v). Is l(27) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -14*u + 45*u - 9*u - 12*u. Let w(p) = 16*p. Give j(w(d)).\nAnswer: 160*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 490 - 490.0271. What is q rounded to three decimal places?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 17d0d4 - -2?\nAnswer: 17d0d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 1 - 12*r**2 - 10*r**2.\nAnswer: -22*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 22191937 + -371255?\nAnswer: 21820682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.956754 centimeters to nanometers.\nAnswer: 49567540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*l - 291 + 296 + l)*(-2*l + 2*l**2 + 8*l - l - 1) to r*l + t*l**3 + k*l**2 + o and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/13 + (-486)\/(-117). Suppose 2*k = -c + 4*c + 2, -4*k + 4*c = -w. Solve -9 = -5*l + k for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 129 - 130. Let d(y) = -12*y - 4. Let i(f) = 3*f + 1. Suppose 2*l - 3 = 15. Let a(z) = l*i(z) + 2*d(z). Give a(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -2 (c) -10 (d) -113 (e) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 169.47 + 24.73.\nAnswer: 194.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1902 + -1865 - (-1 - -58)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 5.42093ng?\nAnswer: 0.00000000000000542093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 366 - -123. Let q = n + -7337\/15. Let h = -2 - 0. Which is the nearest to h? (a) q (b) 0.1 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165*l - 93*l - 4248 = 0. Solve l*c = 29*c - 60 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*o - 192 = -522. Is ((-941605)\/(-2))\/(-7)*4\/o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/29)*r)\/((r\/((r*r*r**(8\/15))\/r*r))\/r) assuming r is positive.\nAnswer: r**(1567\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 + 4*t**2 - 4*t**2)*(t**2 + 3*t**2 - 3*t**2) - 4*t**4 - 67 + 67 + (2 + 2 - 3)*(-20*t**4 + t**4 - 2*t**4).\nAnswer: -23*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 19*s**2 - 49*s + 31. Suppose 5*b + 5*x + 105 = 0, 4*b + x = -66 - 3. Is 17 a factor of m(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48546 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - -1) + 3 + -4. Let t be 6*-2*a\/6. Solve 0 = 4*w - 2*w + t for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2565422?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -283*o + 260*o + 5773 = 0. Calculate the highest common factor of 2 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 73*d**3 - 1936*d**5 + 33*d**2 + 1943*d**5 - 110*d**4 - 3*d**2 = 0. What is d?\nAnswer: -2\/7, 0, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -c - c. Factor 2\/3*i**3 - 2\/3*i**2 + c - 4\/3*i.\nAnswer: 2*i*(i - 2)*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of g**3\/3 - 9*g**2\/2 - 4. Determine b(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*u + 4*a, 4*u + 5*a - 28 = a. Differentiate -3*m - u + 2*m - 2 + 1 with respect to m.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1085 and 7?\nAnswer: 7.1085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -732 divided by 6\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 387 - 372. Let v = 33 + -13. What is the highest common factor of v and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 372 + 348 = 24*k. Let u be 4\/6*2025\/k - 4. Suppose -3*m = -5*c + 1025, 0*c = c + 3*m - 205. Calculate the highest common factor of c and u.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -722?\nAnswer: -722","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 v, and 1 c when three letters picked without replacement from zmvwc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4850 + 8782. What is m rounded to the nearest one hundred?\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1008*j + 922*j - 14 - 1875*j to l + g*j and give g.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*v - k, k + 0 - 1 = 0. Suppose -3*w - 4*m - 2 + 8 = v, -w + 3*m = 11. Let p be w\/(-8) - (-152)\/32. Put -5, 0, p in ascending order.\nAnswer: -5, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwww when four letters picked without replacement from {w: 11, y: 5}?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1022048581 to the nearest integer?\nAnswer: 1007","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3563 - -3558. What is the second biggest value in -1, y, -3, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178131351.\nAnswer: 3, 3691, 16087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169 - i**3 - 169.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-18))\/(-4)*(-208 + 209)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -40069\/3, 0.1, -0.4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2167 and 61267.\nAnswer: 673937","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 169239898 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.069 + -0.057. What is d rounded to two decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - 15*t - 9. Let q be r(-14). Suppose 4*a + q*i = 426, -4*a + 348 = i - 70. Does 13 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10902 and 1647.\nAnswer: 5985198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -51, -79, -107, -135?\nAnswer: -163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 n when two letters picked without replacement from {o: 5, w: 4, z: 1, n: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - 11. What is the first derivative of 31 - t**w + 57 - 118 + 25*t**4 wrt t?\nAnswer: 96*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 - 10*r - 15. Let a = -683 + 673. What is u(a)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1009967?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 309, 247, 157, 45, -83, -221, -363, -503?\nAnswer: -635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 12*n + 13. Let b(w) be the first derivative of 4*w**3\/3 - 9*w**2\/2 + 7406. Give i(b(j)).\nAnswer: 48*j**2 - 108*j + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q. Let r(l) be the first derivative of 8*l**2 + 24. Calculate -15*h(o) + 3*r(o).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 228435 and 27?\nAnswer: 2055915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + 1. Let k(x) = 12*x**2 + 6. Let s(y) = -24*i(y) + 4*k(y). Suppose 37 = 15*n - 83. Let j(r) = -22*r + n*r + 8*r + 8*r. What is s(j(d))?\nAnswer: 96*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -4166132*i**2. Let w(b) = -4*b**2. Calculate w(j(y)).\nAnswer: -69426623365696*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -6867 - 222463.6\nAnswer: -229330.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38 + 979*t - 433*t + 1217*t - 51 + 12.\nAnswer: 1763*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1410787969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -423, -1683, -3781, -6717?\nAnswer: -10491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v - 5. Let j be u(6). Let z(k) = 11*k**3 + k**2 - 1. Let d be z(j). Suppose 5*r - d*r = -72. Calculate the greatest common divisor of r and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -13*d + 60, -7*v - 283 = -5*d - 149 - 142 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express z - 11*z - 4*z - 4*z in the form l*z + w and give l.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 = -8*n - 109 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2827 = 198*n + 59*n for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 11) to base 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1875, -2\/141, -3, -0.2?\nAnswer: -2\/141","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 14) to base 2\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 8*s**3 + 1146*s**2 + 279*s - 1004. Give d(-143).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -200 - -204. Suppose -4*q - 2*i = -303 - 237, l*q - 554 = 5*i. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3619663 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: Sort -2, -24, -170, -4, 5 in ascending order.\nAnswer: -170, -24, -4, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - z + 4*o - 264, -72 = -z - 4*o. Suppose 5*y - 26 - z = 0. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 15951.917676 and 0.5?\nAnswer: 15951.417676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -530, -531, -542, -569, -618?\nAnswer: -695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000551715179 to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4443 is divided by 378?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -5278 bigger than -5323?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 - 68 - (0 - 19).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 o, 1 v, and 1 j when four letters picked without replacement from ocnjvvttnnttotntjo?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 a when three letters picked without replacement from ufuaa?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54 and 117.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 40 - 330. What are the prime factors of g?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-180)\/18)\/(5\/(-2))*67\/(-268)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10762 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*l - 6*l - 9*l + 321.\nAnswer: -3*l + 321","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of 0*s**5 + 0*s**6 + 31 - 2*s**4 + 2\/3*s**3 + 0*s - 1\/2*s**2 + 1\/7*s**7. Find the third derivative of h(y) wrt y.\nAnswer: 120*y**3 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y**3 + y**2 - y + 1. Suppose 0 = -5*g - 4 + 39. Let o(b) = b**2 - 8*b + 8. Let r be o(g). What is f(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48 - 111. Let l = i + 190. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/9)\/((-14)\/609). Suppose -2*y + 0*y = -5*h - s, 3*y + h = 52. Solve -3*v = 5*o - 5*v - y, 5*v + 11 = 2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00025619 rounded to 6 decimal places?\nAnswer: 0.000256","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 151 + -96 + 2 + 6 + 3 + -1\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 55187433?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 0.104.\nAnswer: -0.416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -8*f + 5*f + 3, 2*b = -4*f + 26 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, l: 1, q: 4}. What is prob of picking 1 p and 2 q?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 12 = -y + 3*f, -4*y - 2*f + 20 = 0. Let r = -10.08 + 10. Let p = 0.48 + r. Which is the third biggest value? (a) y (b) -2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3 + 39834*s**2 - 3597210*s + 81028350.\nAnswer: 2*(s - 45)**2*(s + 20007)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 1628 = -9*d. Is d a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -f - 4*p, 11*p + 50 = -5*f + 6*p. Let z be f + (0 - -2936)\/4. Suppose -4*w = 73 - z. Does 28 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -54 + -337254?\nAnswer: -337330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 divided by 2504953.\nAnswer: -2\/227723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 a, and 2 w when four letters picked without replacement from fuauuwuqxaua?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 959.32 - 966. Let f = c - -5.68. Are f and 594 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -170*y**2 - 14*y + 10. Let t(o) = 136*o**2 + 11*o - 8. Determine -9*m(g) - 11*t(g).\nAnswer: 34*g**2 + 5*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (92\/(-2))\/(123\/(-30) + 4). What is the greatest common divisor of f and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16882139 is divided by 250?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55707833?\nAnswer: 43, 73, 17747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13525 is divided by 4507.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(3\/7))**(-35\/6)\/(t**(-11)\/(t\/t**30*t)) assuming t is positive.\nAnswer: t**(-39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 2 (b) -656 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.16 - 0.07. Let r = s - 4.09. Let v be 4\/24*(-8)\/(-10). Which is the closest to 2? (a) r (b) -1\/10 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 12 (b) 31 (c) -1 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 143043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10 + -3d2dc0?\nAnswer: -3d2db0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 199969?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 232 and 8?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -1153190 to the nearest 10000.\nAnswer: -1150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3648372?\nAnswer: 2, 3, 7, 13, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2671.\nAnswer: 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 + (0\/(-3) - 2). What is the first derivative of 0*s - 1 + x + 0 + 2*s wrt s?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3213394 is divided by 803342.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -698 times 0.5\nAnswer: -349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of t**6\/30 - 9*t**5\/5 - 44*t**4\/3 - 40*t**3 - 2*t**2 - 455*t. Factor q(w).\nAnswer: 4*(w - 30)*(w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14887 + -14885. Let b(n) be the third derivative of -n**3 + 1\/24*n**4 + 0*n + 0 + 7*n**v. Determine b(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3501?\nAnswer: 3, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100001010 + 20?\nAnswer: -100000220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 11. Let s be (-3)\/((-18)\/(-8))*-3. Suppose -12 = 4*h, -s*h = -k - h + 8. Is k greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*l + 112*l + 102 - 147 = 0 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 12) in base 14?\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 4 (b) 0.241 (c) -1 (d) -4 (e) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -7.3, 2, 1465?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -15*o - 305. Let i be t(-20). Let n(a) = 0*a - 5*a**2 - 1 - 3*a - a**3 + 2*a. What is n(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**2 + 21468*v - 4*v**3 - 10745*v - 10692*v + (5*v**2 - v**2 - 2*v**2)*(2*v - 4*v + 0*v) to the form a*v + p + u*v**3 + n*v**2 and give a.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of -i**4\/6 - 55*i**3\/6 - 27*i. Let m(f) = -2*f**2. What is m(p(y))?\nAnswer: -8*y**4 - 440*y**3 - 6050*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, c: 1, k: 3}. Give prob of picking 1 k and 1 c.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 3*n**2 - 2*n. Let w(l) = -7*l**2 + 5*l + 1. Determine 9*s(p) + 4*w(p).\nAnswer: -p**2 + 2*p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*b + 43*b = 0. Let t be -1 + (-2)\/(-4)*10. Let s(k) = -k + 9. Let r be s(t). Solve -d = -b*v - 2*v - 3, -5*d = r*v - 15 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37.8 - 35. Let g = 2.8000005 - a. Round g to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3461762 and 893?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11031200 - -3?\nAnswer: -11031131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*r + 33*r + 38*r + 0*r.\nAnswer: 54*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2. Let d(i) be the second derivative of -6*i + 0 + 1\/6*i**3 + 0*i**2. Let k(l) = 8*l. Let c(x) = -12*d(x) + k(x). Calculate n(c(w)).\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -y + 9 - 21, 3*c + 20 = -2*y - 62 + 8 for c.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001025 rounded to five decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 4*h + h = -25, -2*m + 22 = -3*h for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1485 - 649. Let u = 799.9 - k. Let v = 36.0999851 + u. What is v rounded to six decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 820364\/(-2410)*(-150)\/(-345)?\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -17213, -17207, -17199, -17189, -17177, -17163, -17147?\n\"Answer: g**2 + 3*g - 17217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u - 9. Let i be q(7). Let b be i*((-6)\/4 + 3). Let n(m) = m**2 + m - 1. Let t be n(b). Solve -3*y + 19 = t*g, -2*g + y = -0*y - 12 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 12, 6*z - 5*z = 4*w + 35. What is the remainder when z is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of 3\/8*l**2 - 3\/16*l**4 - 4 + 1\/4*l**3 - 3\/20*l**5 + 0*l. Factor p(x).\nAnswer: -3*x*(x - 1)*(x + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 43173, 172612, 388335, 690336, 1078609, 1553148, 2113947?\n\"Answer: -q**3 + 43148*q**2 + 2*q + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/18)\/((96 + 0)\/4)?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - -455?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**4\/3 + 13*z**3\/3 + 53*z**2\/3 + 83*z\/3 + 14 = 0. What is z?\nAnswer: -7, -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2509\/3 or -1\/2?\nAnswer: -2509\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 128 + -1151\/9. What is the third smallest value in m, -4, -11?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1253?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1277256 is divided by 1325?\nAnswer: 1281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-24) - 14 - -15\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 2*u**3 + 0*u**3 - 1 - 2*u**2 - 8 - u**4 + 4*u as g + m*u**2 + z*u**4 + i*u**3 + c*u and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 6*r**2 + 4*r + 23. What is f(-6)?\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 102783076?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3\/2 - 15*l**2 + 1299*l\/2 + 663.\nAnswer: -3*(l - 17)*(l + 1)*(l + 26)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4*4\/10*(-50)\/(-40). Factor 374 - 782 - 176*d - 4*d**g - 1528.\nAnswer: -4*(d + 22)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/189)\/(((-168)\/(-108))\/14).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 - 49. Let q(o) = 4*o**2 + 2*o + 3. Let h be q(-3). Let l = h + k. Calculate the remainder when 36 is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*v**3 - 260*v**3 + 4*v - 385*v**3 - 3*v + 177*v**3 as i + f*v + o*v**3 + b*v**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000838748 rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 5, -170, 3\/14, -24.7?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 4. Suppose 0 = 7*s + 4*s - 66. Let f be s\/(-14)*8\/(-6). What is the closest to -1 in j, f, -6?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157179409 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 7:50 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -4*c + 2*c - 2 - 6*c**3 + 2*c**3 + 2*c**3 + 4*c**2. Let n be b(2). Let k(h) = 2*h**2 + 7*h + 5. Let s(u) = 2*u**2 + 6*u + 4. What is n*k(v) + 7*s(v)?\nAnswer: 2*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 a when four letters picked without replacement from arraittraattdaa.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 9755 and 173?\nAnswer: 9582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13742 is divided by 101.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {j: 2, o: 11}?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 0 - 3 = -2*j, -15 = -3*u. Suppose -3*f = -j*f + 3. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9065858 divided by 69.\nAnswer: -9065858\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -877784 rounded to the nearest ten thousand?\nAnswer: -880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1070 - 1072 + 2142 - 685*t to u + x*t and give x.\nAnswer: -685","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.19 - -9.19. Let a = x + -9.7. Let s = a + 0.4. What is s rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - 13)*((-21)\/9 + 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18204 times -2?\nAnswer: -0.36408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + 8*t - 34. Let m = -24 - -79. Calculate the remainder when m is divided by b(-12).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3758*z + 146151. What is f(-39)?\nAnswer: -411","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -510 - -930. Calculate the least common multiple of 15 and ((-84)\/(-70))\/(8\/g).\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/g**(-2))*g**(-6))\/(g\/g**(2\/5))**(-10))**(-17) assuming g is positive.\nAnswer: g**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 5. Suppose 2*p + 2*a = s*p - 199, 0 = -3*a + 3. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7370 and 12931?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22393?\nAnswer: 7, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 170136479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 9 - 17. Let w be p*3\/36 - 0\/4. What is the second biggest value in w, -1, -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 31 + 130 = 0. Let g(a) = -3*a**3 + 2*a**2 + 3*a - 1. Let i be g(3). Let y = i + d. Calculate the remainder when y is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -12 (b) -136 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.2 + -2. Let w = -4 + 4.3. Let d = s - w. Which is greater: d or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -39 + -304 + (-2)\/3*-3. Let f = -330 - n. Suppose 7 = 3*s - 26. Is f smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -0*r. Let i(d) be the third derivative of 2*d**2 + 1\/12*d**4 + 1\/30*d**5 + 0*d + r*d**3 + 0. Find the second derivative of i(b) wrt b.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 381*p + 377*p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22368107?\nAnswer: 17, 1315771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -172000 to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.5 + 0. Let g = -1.481 - 3.519. What is the third biggest value in g, 3, -1, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80 and 6690?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/99935763 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 295025389 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9680434?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of 72\/13*g**2 - 33*g + 76\/13*g**3 + 0 + 7\/130*g**5 - 41\/39*g**4. Factor i(w).\nAnswer: 2*(w - 6)**2*(7*w + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wgj when three letters picked without replacement from gjgjwwggwjwgwgj?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 m, 1 h, and 1 l when four letters picked without replacement from mhhmkmjlmmlh?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -249 divided by -32\nAnswer: 249\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 100*b**3 - 370*b**2 - 344*b - 72.\nAnswer: 2*(2*b - 9)*(5*b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3 + 23706*x**2 + 213135*x + 189432.\nAnswer: 3*(x + 1)*(x + 8)*(x + 7893)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k. Let u(o) be the second derivative of 17*o**4\/12 + o - 35. Determine u(b(a)).\nAnswer: 17*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 + 22 = i. Suppose -5*x + 100 = d + 4*d, -2*d = -x - i. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fghmuuuphmpuhhu. Give prob of picking 1 m and 1 g.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from bynnybgyby?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 11 = -x, -c - 19 = -4*x + 5. Sort -2\/7, 0, c in descending order.\nAnswer: 0, -2\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8 - -2a?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 537556247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u - 11. Let c be l(-2). Let p(h) = 19*h + 22. Let w be p(c). Let t = -149 - w. Which is bigger: -7\/12 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -100626*c**2*v**3 + c**2*v**2 + 7*c**2 + 6680*c*v wrt v.\nAnswer: -603756*c**2*v + 2*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1386 divided by -462.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 80966857?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -4*v**2 - v**2 + 11*v**2 - 3*v**2 - 3. Suppose 4*q = -l + q + 10, 5*l - 10 = 5*q. Calculate the smallest common multiple of y(-3) and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221 = -2*r + 2*i + 49, 4*r + 346 = 3*i. Suppose 3*l + y = 4*l + 29, -3*l = 4*y + 80. Calculate the least common multiple of 7*(r\/l - -4) and 4.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2062971 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rir when three letters picked without replacement from {e: 6, i: 2, r: 3, t: 5, h: 1}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.38 + -0.08. Let v = 0.046 - -3.954. Which is the smallest value? (a) o (b) v (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 1\/11, 1\/53016, -3?\nAnswer: 1\/53016","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12200)\/(-9760)*24*2\/10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -u - 2*z - 1, 4*u + z - 9 = 0. Suppose u*l - l = 28. Let o = 22 - l. Sort o, -3, 0 in decreasing order.\nAnswer: 0, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + 9*d**2 + d - 4. Let b be n(9). Suppose 61 + 44 = -b*p. Let c be p\/(-12) + (-18)\/24. Solve -c = -2*t - 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 - 6*o**2 - 9*o + 12. Let v be b(-6). What is the highest common divisor of 33 and v?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rmmmmmmymryrmrrm. Give prob of picking 1 r, 1 m, and 1 y.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 748 - 745. Suppose -z - 9 = 2*l, -5*l + 5*z = -2*l - 19. Let b be l\/(-8) + (-45)\/(-12). Solve 0 = -3*f + x*q + 21, -3*q + 0*q = -b*f + 23 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 4\/355 (c) 4 (d) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -3\/2686?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 231049 and 0.4.\nAnswer: 231049.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - 16*b - 7. Let q be z(-12). Let y be (-5 - q)*2\/(-4). Calculate the greatest common divisor of y and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 209475 and 306054?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 175*z - 1 + z**2 - 175*z. Let g be h(-3). Let r be (-7)\/(-6) + g\/(-12). Which is the biggest value? (a) -3\/2 (b) r (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(800)\/sqrt(10)*-6.\nAnswer: -24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-340)*(-567)\/324*(-16)\/(-7)?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 2000?\nAnswer: 1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of f**3\/3 + 5*f**2\/2 - 7*f + 11. Calculate r(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 8 + -9 + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1172 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/2))**(-2\/95)\/((q**(-1\/2)\/q)\/q*(q\/(q**6*q))\/q) assuming q is positive.\nAnswer: q**(1807\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/23)*b)\/(b\/b**(1\/12))*((b*b**(1\/4))\/b)**(-4\/7)*(b*(b\/b**(2\/5))\/b)**(-6)*b**(-4\/5)\/(b*b**(-2\/9)*b) assuming b is positive.\nAnswer: b**(-178237\/28980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h = 3*s - 40, -2*h + 10 = 407*s - 412*s for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 321 equal to -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 9 = 5*h. Let y(m) be the first derivative of -m**4\/2 + m**3 - m**2\/2 + 4*m - 492. Give y(h).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12 and -131446.\nAnswer: -1577352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -56*b + 13. Let y be r(2). Let u = y - -202. Let a = -79 + u. What is the smallest common multiple of a and 20?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 410*s - 2*m = 413*s - 81, -4*s - 5*m + 164 = -m for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -14 in decreasing order.\nAnswer: -3, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-36)*10452*1\/13?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 15 - 3 = 0. Let y be -1 + k - (2 - -1). Let r = 3\/4 - 13\/12. What is the third biggest value in r, 4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 11 = 147. Let l = -13 - t. Does 7 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of 5*f**2\/2 - 4*f + 77. Let k(u) = 60*u - 50. Let j(o) = 50*i(o) - 4*k(o). Let h(c) = -9*c**2. Determine h(j(n)).\nAnswer: -900*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2654000 rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 2. Let i = g + 5. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + 47*a - 1000. Determine h(16).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xdhphsttstsxssttsph. Give prob of picking 1 d, 1 t, 1 s, and 1 p.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -o - 8. Is 6 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(2\/17)*y)\/y**(-3\/2))\/(y*y**3*y**(1\/4)*y))\/(((y*y\/(y\/(y\/y**0)))\/y)**5*(y**(-2\/5))**(-8)) assuming y is positive.\nAnswer: y**(-3683\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**18)\/(q\/(q*(q\/((q**(-1\/2)\/q)\/q))\/q)))\/(q*(q*q**(-3))\/q)**(-2) assuming q is positive.\nAnswer: q**(-37\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(19) + 2)*-4.\nAnswer: -8 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 944 a factor of 278247752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -104 - -105. Let q be f - ((-3)\/(-9))\/((-5)\/(-60)). Put 1, 2, 5, q in decreasing order.\nAnswer: 5, 2, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -760*t - 501*t - 446*t + 3*t - 6*t + 4*t + 2*t + 0*t - 3*t + (-3*t + 0*t + 2*t)*(1 + 0 + 1).\nAnswer: -1709*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 + -6. Let b be (-21)\/7 + y\/7. What is the biggest value in 1, b, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 130894 and 22?\nAnswer: 1439834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-2 - -1)*(-27 - -29). Suppose -s*f - 3 - 1 = 0, n = -4*f + 146. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -154 by 1.\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5251 (base 9) to base 8.\nAnswer: 7415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 207 + -158. Let g be (-2)\/(-14) + (-21)\/r. Which is the nearest to 0? (a) g (b) -3 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 5 + 9)*(-5*f + 2*f + 0*f)*(-4 + 10 - 1) as d*f + a and give d.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -m. Let j(z) = m + z - 1 - 2*z. Let g(r) = -1 + 4*r - 3 - 16*r + 7*r + 2*r**3. Give g(k) - 4*j(k).\nAnswer: 2*k**3 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3*z + 1. Let q = -4 + 3. List the prime factors of d(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, s: 3, g: 6, n: 5, c: 1}. Give prob of picking 2 g.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.1 (b) -5 (c) -4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from raazafrrazrnz.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -36559650 to the nearest 100000.\nAnswer: -36600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -329772, -660421, -991070?\n\"Answer: -330649*k + 877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + -8. Let a(n) = -3*n + 4*n + 6*n**2 - 3 - 1 + 3. Let s(i) = i**2. Suppose 0 = 13*c - 11*c + 2. Calculate c*a(r) + j*s(r).\nAnswer: -r**2 - r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 14 = 2*g, 4*g - 10 = 3*j + 6*g for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*1*sqrt(102) - sqrt(102) - ((-1*sqrt(102) - sqrt(102))*-3 + sqrt(102)))\/(sqrt(726) + 4*(sqrt(726) - sqrt(726)*2) + (sqrt(726) - 4*-2*sqrt(726))).\nAnswer: -5*sqrt(17)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 2*h = 57 + 31, 35*h + 47*h = n + 21*h + 279 for n.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4a53 + 2?\nAnswer: 4a55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1844 - 1837. Let n(g) = 5*g**2 - 7*g - 3. Let u(m) = 3*m**2 - 4*m - 2. What is b*u(h) - 4*n(h)?\nAnswer: h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (16 - (-1 + 6 + 0)) + -5\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by 1363?\nAnswer: -11\/1363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvddddd. What is prob of picking 4 d?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -7*y. Let g = -61 + -67. Let o be g\/(-9) + (-10)\/45. Let l(c) = -37*c + 21*c + o*c. Give l(w(z)).\nAnswer: 14*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*-2*sqrt(112))\/(2*sqrt(72)))\/(-1*sqrt(128)*-5 - (sqrt(128) - (sqrt(128)*2 + sqrt(128))*-5)).\nAnswer: -sqrt(7)\/132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 67403933?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 4)*(-3 - 3 + 5)*(-7570 + 3786 - 116*g + 3789).\nAnswer: 232*g - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -480*h - 2*q - 18 = -481*h, 0 = 86*h + 6*q - q - 1548 for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -52 (b) 0 (c) 1\/2 (d) 109.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 2*v - 90. Let d = v - -15. Let t = 304 - d. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-558)\/(-279))\/(6\/(-15)*5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1721.4 - -1721. Let o = 244\/1235 - 6\/65. Sort o, w, 1\/6 in ascending order.\nAnswer: w, o, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3 + (2*(3 + -6*(-1*sqrt(1200) + 5)))**2).\nAnswer: -175713 + 25920*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a micrometer in nanometers?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -26*z + 17. Let l(f) = 3025 - 1517 + 9*f - 1514. What is 11*l(d) + 4*o(d)?\nAnswer: -5*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 81.846 - -0.154. Let m = -87 + t. Which is the nearest to -1? (a) 4 (b) m (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**2 - 559*f - 1071*f**3 - 471*f**3 + 560*f to l + q*f**3 + a*f**2 + x*f and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*g + g**3 - 8 - 3*g**2 + 18 - 7*g - 8*g**4 - 12 to the form w + j*g**4 + r*g**2 + o*g + c*g**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 5*u. Let t(y) = 22*y - 1. Let r(k) = 51*k - 7. Let l(g) = -76*g + 10. Let s(p) = -5*l(p) - 7*r(p). Let n(i) = -6*s(i) + 5*t(i). What is n(w(d))?\nAnswer: -140*d + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2110 + -200020010?\nAnswer: -200022120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22694716 to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 3*i - 4 - 1, -4*h = -3*i - 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 3, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/2*((-24)\/30 + 2). Suppose -28409 = -4*q + f*r, 0 = 5*q - 2*q + r - 21323. Suppose -10*w - w + q = 0. What is w rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 262121276?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from eelell.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -15?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13432 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z + 3*z + 16 - 12 + 3*z + 27*z**2 - 9 + 3.\nAnswer: 27*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 99*a**5 - 81112533*a**4 + 122897442*a**3 + 88486260*a**2 - 19663608*a = 0.\nAnswer: -2\/3, 0, 2\/11, 2, 819317","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*f**2 - 613102*f + 613102*f.\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12498317501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6988, 6989, 6990, 6991, 6992?\n\"Answer: b + 6987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 - 24*h - 25. Calculate f(21).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -6*h**3 + 2*h**2 + 3*h - 5. Let z(a) be the first derivative of -3*a**4\/4 + a**3\/3 + a**2\/2 - 3*a + 242. Give 3*c(g) - 5*z(g).\nAnswer: -3*g**3 + g**2 + 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-19 - -33)*(-3)\/(-2). Suppose -3*i = n - 3, 5*n + i + b = 4*i. Let d(z) = -z**3 - 3*z**2 - z - 4. Let g be d(n). Is -3 less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 5) + (-8 - -8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 3*y + y - 5, -20 = -y + 3*l. Suppose -x + y*x = -0*x. Suppose 9 = 4*w - 7. Solve -5*m + 3*j + x + 18 = 0, -m + 7 = -w*j for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.1 - -1.8. What is the second biggest value in x, -0.1, -3\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181*a + a - 19 + 19.\nAnswer: 182*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2879*k - 1 + 23*k**2 + 35*k**2 + 24*k**2 - 70*k**2.\nAnswer: 12*k**2 - 2879*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1423364125?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**11\/g)\/(g*(g\/g**9)\/g*g) assuming g is positive.\nAnswer: g**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(847)*1 + -2 - sqrt(847)) + (sqrt(847) + -2*sqrt(847)*-2)**2)*4 + 5 + -4.\nAnswer: 84693","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11233506.\nAnswer: 2, 3, 1249, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2409 divided by -412210?\nAnswer: 2409\/412210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -5*f + f + 53, 43 = 4*f - s. Solve -4*k - 5*c - f = 0, 4*c + 14 + 8 = 3*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - -4. Let d = -9 - -20. What is the remainder when d is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6191314 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*t + 83*t - 15*t + 65*t**3 - 44*t**3.\nAnswer: 21*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -4.7. Let x = -5.06 + 5. Let s = x + 0.26. What is the closest to s in 0, b, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216) + 3*sqrt(216))\/sqrt(6))\/sqrt(12).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19495, -78082, -175763, -312544, -488431, -703430?\nAnswer: -957547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -110 divided by -11.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -6*b + 3*b + 5*g, -4*b - 2*g = 20. Let f be (-4)\/6 - 52\/b. Suppose 3600 = t + f*t. What is t rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 6. Find the second derivative of 0*j**2 - q*j**2 + 0*j**2 + 16*j + j**2 wrt j.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -67665439\/16 - -4301356. Let l = d - 71962. Let p = -287303\/944 + l. Find the common denominator of 101\/4 and p.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -70, -630, -2164, -5164, -10122, -17530, -27880, -41664?\n\"Answer: -82*f**3 + 5*f**2 - f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19.1 - 18.7. Sort -3, u, -4, -6 in decreasing order.\nAnswer: u, -3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 3*k**5 - 21*k**4 - 9*k**3 + 189*k**2 - 162*k = 0.\nAnswer: -3, 0, 1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 PM and 8:49 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 15) to base 6.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 7 - 158. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-2))**14*(r**2*r)**(-3\/17) assuming r is positive.\nAnswer: r**(705\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 107 and 4601?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1758588 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) + 4*sqrt(152) + sqrt(152) - sqrt(152))\/sqrt(8)*2.\nAnswer: 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6, -13, -58, -141, -274?\n\"Answer: -2*m**3 - m**2 - 2*m + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.01076 and -2.\nAnswer: -1.98924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43*m**3*q**2 + 9*m**2*q**2 + 3*m*q + 19*q**2 + 7*q wrt m?\nAnswer: 258*m*q**2 + 18*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(2\/11)*x**3\/x*x**(1\/2)\/(x**(-7)\/x)*x**(-1\/6)*x**0*x**(-2)*(x\/x**(-2\/3))\/x assuming x is positive.\nAnswer: x**(101\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(5*(sqrt(121)*-2 - sqrt(121)) - sqrt(121))*-6)\/(6*(sqrt(1331) + sqrt(1331)*-1 + sqrt(1331)) + (1*sqrt(1331)*-6 - sqrt(1331))))**2.\nAnswer: 9216\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 547750\nAnswer: -1\/78250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-15)\/(-12))\/(1\/24). Suppose 4*z - m = -z. Let r(w) = -2*w**2 - 74 - 5*w + 3*w**2 + 80. What is r(z)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.79146 rounded to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of h**2\/2 + 2*h + 1. Let o = 2640 + -2639. Let q(g) = -1. Let u(i) = o*j(i) - 5*q(i). What is u(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 362852036 to the nearest integer?\nAnswer: 19049","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -485 and -0.119.\nAnswer: -485.119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/32150 and 29\/400.\nAnswer: 257200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/120 + (2\/(-2))\/(-21).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 5*c - 12. Let k be a(5). Let j(m) = m**3 - 12*m**2 - 13*m + 4. Let u be j(k). Let r = -1.1 + -3.9. Put r, 5, u, 2 in increasing order.\nAnswer: r, 2, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -19*m - 84. List the prime factors of g(-10).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (110\/3)\/(-1)*(-30)\/(-25). Let d = -41 - c. Solve -j - 2*y - 10 = d*y, -2*j + 3*y + 6 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -274.\nAnswer: -5\/274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*c - 4*c - 2*c)*(7*c + 7*c - 7*c) + (2 + 0 - c + 0*c)*(4*c + 7*c - c) to t*c + m*c**2 + z and give t.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57, 115, 173, 231?\nAnswer: 289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 16 - (-41 - (-121 - -35))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 27 = 3*q, 5*q + 10 = -5*o - 30. Let c = q + 11. Suppose s + 2*n - 317 = -2*s, -s + 2*n + 119 = c. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**8\/(k**(-2)*k))\/(k\/k**(-1\/23))**(-12) assuming k is positive.\nAnswer: k**(495\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -785 + 3099\/4. Find the common denominator of -25\/2 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1081169, 1080965, 1080761, 1080557, 1080353?\nAnswer: 1080149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -2*i + 15, 0*a + 5*i + 20 = a. Let v = 7 - a. What is the least common multiple of v and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 7:41 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 200957 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 32*p**2 - 31*p + 68. Let v be t(-33). Suppose 3*j + 6 = 5*j. Solve -c + 1 = -q, -3*q + v*c - j = -0*c for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 s when three letters picked without replacement from zzzspzzlzzlpzzll?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 413 + -3?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/2*28\/(-273). Let q = -5\/52 + j. Which is the closest to q? (a) -1\/6 (b) -2 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/136356 and -35\/545424?\nAnswer: 545424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 71, 105, 139, 173, 207?\nAnswer: 241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*d**4 + 9*d**3 - d - 9*d**3 - d**2 + 3*d**4 + 1 in the form n*d**2 + a + x*d**4 + c*d + k*d**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (204\/(-272))\/((-13)\/(-416))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.4 + 0.2. Let v = -0.13 - 0.17. What is the second smallest value in v, z, 0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -4, 182, 1\/25, -2\/5?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuhkzuc. Give prob of picking 1 z and 1 h.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+303.35193\nAnswer: 303.85193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34620, 69664, 104708, 139752, 174796?\nAnswer: 209840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of s**5\/10 - 19*s**4\/24 + 147*s**3\/2 + 10*s**2 + 2*s. What is the derivative of t(d) wrt d?\nAnswer: 12*d - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 1026, -210.5, 0.5 in descending order.\nAnswer: 1026, 0.5, -1\/3, -210.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 883*f. Let c(g) = 76*g**2. Determine c(v(l)).\nAnswer: 59256364*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2337\/95 + (-2)\/(-5). Suppose z*f - 294751 = -109926. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -109*i*q*t**2 + 164*i*q - 3*i*t**2 + 19*i*t + 33*i wrt t?\nAnswer: -218*i*q*t - 6*i*t + 19*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((15\/(-4)*42\/(-35))\/6)\/((-63)\/784)?\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -224680972 and 5.\nAnswer: -1123404860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 - -10. Let c = y + 4. What is the units digit of 2 + c - (-2 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153.37 take away 11738529?\nAnswer: -11738375.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 2 + 4. Let q be (93 + g)*(6 + 1121). Let x = 249938 - q. What is x rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u + 5*u = -4*k + 7, 0 = -2*k - 4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 4. Suppose 2*y = 9 + s. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**3\/10 + 3*l**2\/2 + 31*l\/5 + 24\/5 = 0 for l.\nAnswer: -8, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 652 by -4.\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -4*g - 70. What is the smallest common multiple of 20 and w(-19)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - 11. Let y(u) = -u + u**3 - 5 - n*u**2 + 3 + 0 + 4*u**2. Calculate y(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1072, -933, -796, -655, -504?\nAnswer: -337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + (-278)\/(-231) + 1. Let w = -1627\/462 + h. Find the common denominator of w and ((-352)\/21)\/8*(-9)\/24.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -2199?\nAnswer: -2\/2199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/27 (b) 0.1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -164939 + 1\nAnswer: -164938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1441\/8, -7, 1\/12?\nAnswer: -1441\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1dad39 + -4?\nAnswer: 1dad35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -93 + 88 - (-10 - 3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*o - 125 = 22. Suppose -o*f - 228 = -410. Which is smaller: f or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tb when two letters picked without replacement from tbbbbbbtbbbbbtbbtb.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 0. Let p(y) = -y**2 + 2 + 8 + 6*y + 9. Let n be p(f). Solve 5 = n*h - 4 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 110 and 43362?\nAnswer: 216810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -54*p**5\/5 + 13*p**4\/12 + 4*p**2 + 1806*p. What is the third derivative of t(w) wrt w?\nAnswer: -1296","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.294594273 + -184.\nAnswer: -183.705405727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bdbddabnbbminna. What is prob of sequence an?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1182875 - 18*j - 1182875.\nAnswer: -18*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-5 + 4 - 6)*(6 - 3 - 4) - 1 - 2 + 5)*(4*o + 33*o**3 + 23*o**3 - 50*o**3) as c*o**2 + d + f*o + p*o**3 and give f.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1\/17 (b) 5 (c) 1\/65 (d) -2 (e) 1.4 (f) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/88690 and -93\/20?\nAnswer: 177380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3141934 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -90a687 (base 13) to base 5\nAnswer: -1330132412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vkk when three letters picked without replacement from kkkkkvkk?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*4 + 4 + -3. Let h be 4 + ((-3)\/(-1))\/s. Suppose h*n - 15 = -2*n. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 10*c**2 + 4*c. Let i(z) = 3*z**3 + 21*z**2 + 9*z. Let j(p) = -4*i(p) + 9*t(p). Find the third derivative of j(w) wrt w.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 1. Suppose -3 + d = -v. What is the units digit of 15\/6*v*4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/1191 (b) 1\/5 (c) 0.1 (d) -0.016\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/(-9))\/4*3. What is the common denominator of 10\/7 and i - ((-46)\/(-8) - -2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 11*a = 3, -4*z + 2*a + 526 = 0. What is the greatest common factor of z and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 7:21 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -12.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -125 - 115 + 237 + 14*h + 45*h as d*h + k and give d.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, z: 14}. What is prob of sequence zd?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**2 - 337*q + 14008. What is x(-203)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, z: 2, h: 4, n: 1}. What is prob of picking 1 z and 1 n?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 6:59 PM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-54)*36*1*1\/(-27)?\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -4*h**2. Let n(v) be the second derivative of 13*v**4\/2 + v**2 + 101*v + 9. Determine u(n(g)).\nAnswer: -24336*g**4 - 1248*g**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + sqrt(171)*1)*6.\nAnswer: 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1484)\/(-318))\/((-2)\/3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17 or -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 10 (b) 8 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**2\/2 + 9218*m - 42485762 = 0. What is m?\nAnswer: 9218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/2)\/(((-56)\/(-20))\/(32\/40))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -87*y**2 - 270*y**2 + 400 - 40*y**2 - 95 - 29*y**2 wrt y.\nAnswer: -852*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -95? (a) -4 (b) 8 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -s**3\/6 - 9*s**2\/2 - 134*s. Determine a(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/51 + -97\/255. Let h = 89.7 + -51. Let s = 39 - h. Which is the smallest value? (a) s (b) 4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + q = 163, -2*q = -v - 3*q + 35. Suppose j - 3*s - 31 = 85, 2*j - s = 232. Suppose -o = v - j. Does 42 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 PM and 7:11 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 - 0.3. Let p(t) = t**3 - 15*t**2 - 47*t + 28. Let r be p(14). Let s = r + 1655\/2. What is the closest to s in -3, 3, b?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 152\/(-16)*(-2 - 0). Let y(k) = g*k**2 + 1 - 13*k**2 - 2*k - 5*k**2. Let f be y(0). Which is the nearest to f? (a) 3 (b) -2 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.04 from -36493.\nAnswer: -36493.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42 - -305. Suppose -53 + d = -3*p. Let i = p - -128. Does 29 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qha. Give prob of sequence ha.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of 11*q**2\/2 - 48*q + 23. What is the units digit of n(15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -265 + 25 = -5*t. Suppose 58*q = t*q + 200. Solve -3*o - 20 = 3*x + 7, 0 = 4*x + q for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19560324.\nAnswer: 2, 3, 7, 232861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 67 - 59. Suppose 9*j = 5*j + 12. Calculate the remainder when (3\/(-6))\/(j\/(-180)) is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 98 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of p**5\/4 + 3*p**2\/2 - 4*p. Differentiate d(f) wrt f.\nAnswer: 15*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 8.3778.\nAnswer: 0.83778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-810)\/36)\/((-9)\/6).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 + 0.2. Let l = u + -0.4. Let q = -0.1 + l. Which is the closest to -1? (a) 1 (b) q (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34661 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -31227976.37 to the nearest ten thousand.\nAnswer: -31230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -276.000242 - -276. What is y rounded to 5 decimal places?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -3. Suppose 0 = 4*d - 4*m - 88, -7*d + 122 = -2*d + m. Suppose -t = 3*f - s, t + 3*f = -2*t + d. What is the remainder when 32 is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4994202586 + 3.\nAnswer: 2.5005797414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -12882917.\nAnswer: 8\/12882917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, 4\/7, -0.3, -24515, 0.3, 31?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/4 of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (120\/(-24) - 4\/(-1))*-851. Let p = m - 464. Does 43 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (-5 + sqrt(51)\/sqrt(3))) + -3 + ((sqrt(68)\/sqrt(4)*2)**2 - sqrt(187)\/(sqrt(11)*-2)) + 0.\nAnswer: sqrt(17)\/2 + 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 576*p**2*v**2 + 57476*p**2 + 159*p*v**2 + 1344*p*v + 10*v**2 + 5 wrt p?\nAnswer: 1152*v**2 + 114952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 6*s - 23*s - 8)*(2 - 2 + 2*s) + (-2344 - 213*s + 2344)*(-2*s + s - s) to the form m*s**2 + c*s + i and give m.\nAnswer: 392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 387, 803, 1219, 1635?\n\"Answer: 416*j - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/80 and 7\/9232?\nAnswer: 46160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/((-2)\/(-81)*9). Let s be (-700)\/462 - 12\/y. What is the closest to s in 5, -2, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2334412 (base 5) to base 6.\nAnswer: 531323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 + -27. Solve -4*b - q*x - 2 = 0, b - 3*x = -0*b + 3 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -21*j**2 + 2*j + 3. Let m be g(-2). Let i be 15\/(2 - m\/(-50)). Calculate the highest common factor of 20 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, k: 2, o: 2, v: 1, y: 1, b: 1}. What is prob of sequence ko?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -39.21971 - -1640\nAnswer: 1600.78029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-9) - (-467)\/(-3). Let d be (-984)\/a + -4 + -2. Determine z so that 10\/13*z + 32\/13*z**2 + 18\/13*z**3 - d = 0.\nAnswer: -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m + 2. Let v(n) = -4*n - 1. Let u(b) = 2*v(b) + 3*w(b). Let z be u(-6). Let s = -1 + z. What is the biggest value in s, -0.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -342?\nAnswer: -341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 5*f**2 + 6*f - 3. Let h(u) = u**2 + 7*u + 6. Suppose 19 - 31 = 3*q. Let k be h(q). Give d(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 100400*h**5*y**3 - 2*h*y**3 + 2*h*y + 2*y**3 - 3833*y wrt h.\nAnswer: 2008000*h**3*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -377839*u**5 - 567642*u**2 wrt u.\nAnswer: -22670340*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 192662330 to the nearest integer?\nAnswer: 13880","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 13) to base 8\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - 2. Let r be ((-45)\/35 - -1) + 4\/14. Let w be 2\/(-4) - 3\/(-3). What is the third biggest value in r, w, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35.416 + -37.4. Let u = d - 0.016. Put 3, u, -0.5 in descending order.\nAnswer: 3, -0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, 3\/4, -3\/8, 0.3 in increasing order.\nAnswer: -3\/8, 0.01, 0.3, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -78.2? (a) 1\/4 (b) 4 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 602313293?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-6) - 95\/15. Let x(w) = w**3 + 8*w**2 + 5*w - 8. Let m be x(y). Suppose 5*r + 2 = m*r. Which is smaller: 4 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5942 - 5146. Calculate the smallest common multiple of 1 and g.\nAnswer: 796","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1852869 - -952869. Round j to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -1 + -2 + 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2310 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -333 - 1611?\nAnswer: -2244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(19) - (sqrt(475)*2)**2) + ((sqrt(133)*1)\/sqrt(7) - sqrt(19))**2.\nAnswer: -1899 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1582109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**2\/d)\/d**(4\/5))**20\/(((d**(2\/3)*d)\/d)**(-1\/12)*d**(1\/13)*d**(-2\/7)*d) assuming d is positive.\nAnswer: d**(5347\/1638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -912*p + 12 = 4*j - 910*p, -p + 3 = j. Solve 0 = -j*r - 4*o - 11 + 1, 4 = -r - 2*o for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - 98486284\nAnswer: -98486283.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1033760 is divided by 455?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -495015 * -0.1.\nAnswer: 49501.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 11) in base 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.8 + 4.908. Let g = c + 4.892. What is the fourth smallest value in 1, g, -0.2, 0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -p**5\/60 + p**4\/12 + 19*p - 19. Let w(t) be the first derivative of f(t). Determine o, given that w(o) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 8*t**2 + 7*t - 4. What is o(-7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 303 - 283. Calculate the remainder when 136 is divided by g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d**3\/5 + 6*d**2 - 69*d\/5 + 42\/5 = 0. Calculate d.\nAnswer: 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 214 and 18.\nAnswer: 1926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -688.4 - -606. Let c = -82 - w. Let f = 0.02 - -0.18. Put c, 1\/2, -21, f in increasing order.\nAnswer: -21, f, c, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 94 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 660, 5254, 17724, 42006, 82036?\nAnswer: 141750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13991, 27982, 41973, 55964, 69955, 83946?\nAnswer: 97937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 146 + -140. What is the common denominator of (6 - 588\/27)\/((-4)\/r) and 22\/5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**2 + l**4 + 2*l**2 + (-2*l + l + 0*l)*(l - l**3 - l) - 2*l**4 - 1 + 1 + l**4 + l**4 - 3*l**4.\nAnswer: -l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -13 + 0*f**2 + 0*f - 2\/3*f**6 + 3*f**3 + 0*f**4 + 0*f**5. Find the third derivative of b(t) wrt t.\nAnswer: -240*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244902161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of x**6\/165 - 49*x**5\/55 - 104*x**4\/11 - 8237*x. Factor q(j).\nAnswer: 2*j**2*(j - 104)*(j + 6)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -47 + 53. Let r(l) = l**2 - 7*l + 15. Let s be r(y). Let p be 3\/6 + 70\/4. What is the greatest common factor of p and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 - 24. Solve n = -l - 0 - 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 991 = -10*s + 1061 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -94.775195 + -1?\nAnswer: -95.775195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of -m**3\/12 + 453*m**2\/8 + 227*m\/2 - 1830. Solve a(s) = 0 for s.\nAnswer: -1, 454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -3\/4*s**4 + 48\/5*s**5 + 0*s**3 + 182 - 25\/2*s**2 - 2*s. What is the second derivative of j(z) wrt z?\nAnswer: 576*z**2 - 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(1216) + 5*(0 + sqrt(1216)) + sqrt(190)\/(sqrt(20)\/sqrt(8)))**2.\nAnswer: 47505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.89 + 0.11. Suppose -20*m - 13 = -21*m. Suppose 2*l + 3*u + 11 = 0, 2*l + 2*l = u + m. Which is the nearest to 7? (a) 0.3 (b) l (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -2\/3 (b) 0.1 (c) 16 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -911, -3615, -8109, -14393, -22467, -32331, -43985?\n\"Answer: -895*q**2 - 19*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 219*p - 222*p - 18669 = 0. Round p to the nearest one hundred.\nAnswer: -6200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 - 2. Calculate the smallest common multiple of 18 and p.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -351*c**5 - 3*c**4 - c**2 + c + 305 wrt c?\nAnswer: -7020*c**3 - 36*c**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6193 + -43352\/7. What is the closest to 0.7 in 0.04, -3, x, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (35\/21)\/((-4)\/36). Let n(q) = 16*q**3 + 32*q + 32. Let y(s) = s + 1. Let a(i) = -n(i) + 32*y(i). Let d be a(1). Is k at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 6:50 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -21, -43, -69, -99, -133, -171, -213?\n\"Answer: -2*v**2 - 16*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -4*f + 79. Calculate the smallest common multiple of 24\/1*9\/18 and f.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a - -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**3 + 0 + 0 + (-23*s - 36*s - 24*s - 2*s + 0*s + 3*s + (2 + s - 2)*(-3 + 3 - 1) - 3*s + 0 + 0 - 6*s + 4*s + 0*s)*(0*s**2 + s**2 - 2*s**2).\nAnswer: 90*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 6*y + 2. Suppose -35*c = -39*c - 28. Let q(w) = -2*w - 1. Let z = -13 - -11. Calculate c*q(m) + z*u(m).\nAnswer: 2*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8100047\/96 + 84377. Calculate the common denominator of j and 31\/24.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 7. Let g(y) = 4*y**2 - 2*y - 1. List the prime factors of g(k).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/31 (b) 645 (c) -5 (d) 689 (e) 0.5 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 4*f - 118286, 3*f - 36*r + 40*r - 88742 = 0. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 10*m**2 + 4*m + 4. Let c(z) = 4*z**3 + 21*z**2 + 9 - 2*z**3 + 9*z + 0. Suppose 0 = 4*n + 6 + 30. Let r(x) = n*q(x) + 4*c(x). What is r(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 5) to base 15.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 69 * -0.0402.\nAnswer: -2.7738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2ec (base 16) to base 2\nAnswer: 1011101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1240\/2 + (28 - 22). Suppose -92 = s + 5*a - 718, 0 = s + a - q. What are the prime factors of s?\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*w**3 + 6639207*w**2 - 19407255*w - 1532151 = 0. What is w?\nAnswer: -170239, -1\/13, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 308\/33*1\/7?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, x: 5}. Give prob of picking 2 x and 2 d.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -4, -22\/7, 2, 60, -1\/9?\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -667483170 divided by 5.\nAnswer: -133496634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.42 (b) -502 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(4 + sqrt(99) + 1 + sqrt(99)) + -4 + -3)*4)**2.\nAnswer: 1152*sqrt(11) + 25488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1626*s**2 - 1 + 2 - 1136*s**2.\nAnswer: -2762*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167629282 is divided by 55876422.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255 is divided by 134.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, r: 1, a: 1, d: 3}. Give prob of picking 1 a, 1 r, and 2 p.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g**2 + g - 1. What is v(-2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5234121 + -112?\nAnswer: 5234005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6.07484 and 33.5109276?\nAnswer: 39.5857676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4388*z - 344050 = -527*z for z.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2075039 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 888 and 19869?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 156412537?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -3*q - 17. Let d(f) = -4*f - 32. Let t(i) = 4*d(i) - 7*x(i). What is t(-4)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8.6 - 8.6000335. Round l to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zqzzzqpqzzzzztqqhpmz. What is prob of picking 1 h and 1 p?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = n - 3*b, 93 = 2*n + n - b. Let i = -28 + n. Solve -k = 2*k - i for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2496890.\nAnswer: 2, 5, 11, 22699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -177, -4320, 22\/3?\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 4362*y**3 + 10*y**2 - 20*y - 40. Let d be t(-12). Let c = d + 16965896. Round c to the nearest 100000.\nAnswer: 9400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.177 + -3.177. What is the smallest value in -8, o, -12\/7?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5168169?\nAnswer: 3, 23, 24967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3452472*2.\nAnswer: -6904944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 81, 7, -5, -2 in ascending order.\nAnswer: -5, -2, 7, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/11)\/(((g*(g*g**2*g)\/g)\/g)\/g*g))**(-1\/3)*(g**(-2)\/g*g\/(g*(g**(-5)*g)\/g))**(-41) assuming g is positive.\nAnswer: g**(-2675\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 826634.3m?\nAnswer: 826.6343","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 261571892?\nAnswer: 2, 131, 499183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2056 and -28.\nAnswer: -57568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k. Let m(n) = n**2 - n + 1. Let q(y) = -m(y) + t(y). Suppose -6 = -o - 0. Let a(x) = 5*x**2 - x + 5. What is o*q(b) + a(b)?\nAnswer: -b**2 - b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 264483.1 millimeters to centimeters.\nAnswer: 26448.31","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 448\/24 - (-4)\/(-6). What is the units digit of d + -1 - (-7 + 6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 9427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 5*g = -19, g = 2*t + 6 - 8 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/15)\/((-5)\/(-3)*10\/25)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*w**3 + 4*w**3 + w**3 + w**3.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 5.1\nAnswer: -1.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 11\/((-99)\/(-6)) - (-8)\/(-12). Suppose 121*n - 119*n - 1088 = p. Is 17 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6652523.\nAnswer: 1291, 5153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 72101.08 centuries?\nAnswer: 86521296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1290780 - 5*f**2 - 1290764 + 12*f**2)*(-3 - 3*f + 3).\nAnswer: -21*f**3 - 48*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -16.128, 4\/3, -285 in ascending order.\nAnswer: -285, -16.128, -4, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 110333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 846869.4t?\nAnswer: 846869400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 225308 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214*r = 728*r + 72534 for r.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + p = -7, -4*f + 3*p + 19 = 13 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/10 - 4\/10. Suppose -c + 10 = -3*c. Sort 0.3, c, q in increasing order.\nAnswer: c, q, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23.83 + 36.23. Is s at least -2\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 4, 23 in descending order.\nAnswer: 23, 4, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*f**4*g - 2*f**4*l**3 + f*g*l + 6*g*l**2 - 2*g - 8*l**3 wrt f?\nAnswer: 8*f**3*g - 8*f**3*l**3 + g*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/5 + 158*m\/5 + 159\/5.\nAnswer: -(m - 159)*(m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 365394 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1709 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of -n**6\/120 + 7*n**5\/60 + n**4\/24 + 5*n**3\/6 - 13*n**2 - n - 2. Let m(s) be the first derivative of p(s). What is m(7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*h**2 - 10*h**2 + 62*h**2 - 15*h**2 - 17*h**2 - 19*h**2.\nAnswer: 11*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - 2*s + 2*s)*(-5 + 6 - 4) - s - s + 7*s + (1 - 1 - 2)*(0 + 0 + 2*s).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-4*(sqrt(252) - (sqrt(252) - (sqrt(252) + (sqrt(252) - (0 + sqrt(252)))*6 + sqrt(252)))) - 1*5*sqrt(252)*1)*-6)**2.\nAnswer: 1533164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18266097 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: Calculate 1753140 divided by -584380.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 45 - 2. Let o be g*3 - (-3 - -2). What is the greatest common divisor of 26 and o?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 + 22. Let n(a) = 2*a - 6. Let f(w) = 7*w - 6. Let b(x) = -x. Let s(i) = 5*b(i) + f(i). Let p(v) = -4*n(v) + 5*s(v). Calculate p(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q**2\/5 - 11224*q\/5 - 7873636\/5 = 0 for q.\nAnswer: -1403","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 4*n**2 + 14 - 4*n**2 - 13.\nAnswer: -8*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.823598 rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6*(12\/(-4))\/12\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.380591t in grams?\nAnswer: 1380591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2302 by 1.\nAnswer: 2302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 302525751\/200 - 116930056967\/3400. Let j = 4452479923915\/135422 + k. Let g = j - 5\/569. What is the common denominator of 89\/18 and g?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**3 - 2*r**4 - 3*r**3)*(5 - 5 + 4)*(3 - 5 + 0).\nAnswer: 16*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 29 = 5*h, 2*h - k - 17 = -5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 - 49 = -3*y - 4*p + 2*p, -29*y - 40 = -25*y - 13*p for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/4))**24\/(z**(4\/3)*z*z*z\/((z\/(z*z*((z*z**4)\/z)\/z))\/z)) assuming z is positive.\nAnswer: z**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2977 + 8940 + 5*l - 2984 - 3*l - 2979.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 546.51 to 0 decimal places.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t**3 - 3*t - 11. Let a be m(-2). Find j, given that 0*j - a*j**4 - 31\/3*j**2 + 7\/3*j**5 + 4\/3 + 53\/3*j**3 = 0.\nAnswer: -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**2 + 5*w**2 - 2*w**2 + 14*w**2 as q*w + k + p*w**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 4*v**3 - 24*v**2 + 36*v - 16 = 0?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/40*(-8)\/4. Let i = -0.2 + 0. What is the nearest to i in -4\/7, 3, h?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 246 + 3640. What is the greatest common factor of 464 and t?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-21)\/(-8 + 10\/2). Suppose q*g = 13*g - 96. Solve 2*o = -2*a - g, 4*a - 2*a - 5*o = 12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 3*l**2 - 6*l - 7. Let a be y(5). Let h = -13 + a. Let n(r) = r**3 + 2*r**2 + 2. Let f be n(-2). Solve -2*q - f = -h for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5 - 1) + (-118)\/30. Is -1 != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + 10*i + 9. Let x be l(-9). Suppose -8 + x = -4*o. Suppose -o*h + 92 = -h. What is h rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3344 - 3347. Let a = 3 - 3.5. What is the closest to 0.1 in a, y, -7.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 290 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 1368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 4*q + 8 = 0. Suppose 0 = 3*b + q*u - 32, 2*b + u + 2*u - 22 = 0. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 348767879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2012122220112 (base 3) to base 7.\nAnswer: 12660524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/29 - 952\/986*36\/714?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215*b = 217*b - 444*b - 684 for b.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*l**2 - 8 - 3*l**2 - l**2 - 8 in the form s*l**2 + z*l + j and give j.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10926, -10969, -11012, -11055, -11098, -11141?\nAnswer: -11184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -4*u. Let r(b) = 16*b. Let s(w) = 3*w. Let o(q) = -2*r(q) + 11*s(q). What is h(o(g))?\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20748827 and 7362487.\nAnswer: 228237097","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/928 and -73\/290.\nAnswer: 4640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -3*q**2 - 19*q + 138. Determine d(17).\nAnswer: -1052","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10663\/270 equal to 38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 7*r**3 - 88*r**2 - 210*r + 2204. Give n(13).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1368129656 and 0.099761?\nAnswer: 1368129656.099761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -57 - (-20 - -63) - -100.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2240027633?\nAnswer: 2240027633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/481 or 8?\nAnswer: 3\/481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -10654 divided by -7?\nAnswer: 1522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5395 and 2795.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77694 + l**2 - 155252 + 77558 - l**2 + 17*l**3.\nAnswer: 17*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 556.0837 decades in months?\nAnswer: 66730.044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/13, -2.3, 0.5, -0.5, -5, -8?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 3*q = 3*a - 15, 0 = -2*a - 3*q. Let d(c) = -2*c**2 + 2*c + 5. Let v(h) = h**2 - h - 3. What is a*d(m) + 5*v(m)?\nAnswer: -m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 8.2 (b) 0.62 (c) -1\/7 (d) -0.51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5091153313.\nAnswer: 5091153313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**2 - v + 4. Calculate m(4).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 86290?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -28646101125 + 0.5?\nAnswer: -28646101124.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -87 + 158. What is l rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4341 or -322\/5?\nAnswer: 4341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + q = 5*r - 17, 4*q = 4*r - 32. Let d be 2\/r - 200\/30. Find the common denominator of 57*(d\/(-15))\/(-2) and -13\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 14*j**2 + 26*j + 22. Let f(a) = -17*a**2 - 25*a - 20. Let x(u) = 6*c(u) + 5*f(u). Factor x(b).\nAnswer: -(b - 32)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 151389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -811.4 and -464814.\nAnswer: -465625.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, t: 3, a: 5}. What is prob of picking 1 a and 1 t?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from ddddddididd?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 26 = -0*u + 3*h, -3*u - 2*h = 27. Let y be (1\/(-3))\/(u\/231). Let s(a) = -a**3 + 16*a**2 - 15*a + 13. Is s(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -142 and 0.3.\nAnswer: -42.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, w: 4, b: 3}. Give prob of picking 1 v and 2 w.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -5. Let p be -1 - 0 - 6\/(-30). Sort p, t, -5 in decreasing order.\nAnswer: p, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 92466064 and 727850?\nAnswer: 2311651600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.207 (b) 0.5 (c) 37 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 3*d + 10, h - 237 = 5*d. Suppose -7*r + h + 179 = 0. Is r a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 11:02 AM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*d**4 + 33*d**2 - 41?\nAnswer: 8*d**3 + 66*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 202627981 minus 8336?\nAnswer: 202619645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(-2)\/y)**(-10))**(-46) assuming y is positive.\nAnswer: y**(-460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2*149\/(-4) - 3)*(-68)\/(-4590)*-72. Suppose -98*o**2 - b - 488\/3*o - 52\/3*o**3 + 2\/3*o**4 = 0. What is o?\nAnswer: -2, -1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + -2 + 6 - 4. Let n = 5 + m. What is the second derivative of 13*o + 0*o**n - o + 9*o**5 - o wrt o?\nAnswer: 180*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2240?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.4 - -1.9. Put h, 1\/3, -11 in increasing order.\nAnswer: -11, h, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/5 (b) 0 (c) 0.4 (d) -68 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*v - 4*k + 112 = 0, -v - 2*v = -240*k + 244*k - 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000315 rounded to 6 dps?\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-10) + -2514*112\/(-105) a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 5*v = 25, -3*o = -9*v + 4*v + 9. Sort -1, 4, o, -31 in descending order.\nAnswer: 4, o, -1, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.076658, -218, -0.01 in descending order.\nAnswer: 0.076658, -0.01, -218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -46*i - 150. Let r be u(-4). Suppose 16*a = -18*a - r. Let q(f) = f**2 + 1. Let o(y) = 3*y**3 - 2*y**2 - 1. Give a*q(b) - o(b).\nAnswer: -3*b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 17*a + 51*a + 400 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)*-1 + -4*(sqrt(6)\/sqrt(3) + sqrt(2)).\nAnswer: -11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 AM and 12:11 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 64*h**2 - 225*h + 1000. What is k(67)?\nAnswer: -608","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 167119?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (22\/4)\/((-2)\/4). Let m = -8 - d. Which is the third smallest value? (a) -2 (b) m (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 570 and (8\/(-10))\/((-31)\/(25110\/12))?\nAnswer: 5130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0010388619 rounded to four decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 28\/(-8)*10\/(-7). Suppose -2*t - 150 = b - 447, -t - 1474 = -i*b. Suppose 3*r - 5*a - 123 = b, -2*r - 5*a = -237. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 774.598 - -1.402. Let q = n - 775.413. Let s = q + -0.56. What is s rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 42 = 3*h - m, 3*m - 9 = 0. Suppose -h*d - 5 = -14*d. Suppose -899 = -l + d*t, -4*l + 6*t - t = -3656. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 531727995 to the power of 1\/2, to the nearest integer?\nAnswer: 23059","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3096, -9522, -20232, -35226, -54504, -78066, -105912?\n\"Answer: -2142*c**2 - 954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 11 (b) 0.3 (c) 3 (d) 53\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -119092 divided by -76?\nAnswer: 1567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 547888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 - -23. Let r be -4 - -6 - -1*d. What is the second derivative of -r - 26*t + 11*t**5 + 3 + 40*t wrt t?\nAnswer: 220*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16256016?\nAnswer: 2, 3, 7, 16127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1803 - 1747. What is the remainder when n is divided by (5\/3)\/((-3)\/(-54))?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + (288773970\/2525)\/6. Let x = t - 19064. Let q = x - -30829\/2020. Calculate the common denominator of 109\/14 and q.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.7607787 minus 2?\nAnswer: 33.7607787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**2 - 2*w - 4. Let h(n) = 16*n - 120. Let s be h(8). Let c(i) = -s*i + 6 - 1 + 0 - 6*i**2 + 14*i + 6. Calculate 3*c(d) + 8*m(d).\nAnswer: -2*d**2 + 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 50\/(-10)*(3 - 4). Solve 8*n + 5*a - 11 = b*n, 4*n + 3*a = 11 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -297 + 297. Sort w, 3\/2, -4, -28 in descending order.\nAnswer: 3\/2, w, -4, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74477 is divided by 211?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 843 - 840. Which is the third biggest value? (a) -21\/11 (b) 2\/7 (c) i (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1057743 is divided by 9871.\nAnswer: 1546","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 8*q**2 + 56*q + 581. Calculate v(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 48 = -4*l, 3*v = -187*l + 183*l - 38. Let x(c) = 12*c**2. Let z(q) = -q**2. Determine v*z(t) - x(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**5 - 2*t**5 + 2*t**5 + (t - 31*t - 23*t)*(t**4 + 0*t**4 - 3*t**4).\nAnswer: 105*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*v**6 - 205*v**5 + 2*v**4 + 1681*v**2?\nAnswer: 840*v**3 - 12300*v**2 + 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 341922377 a multiple of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7484 is divided by 1106?\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -391*n**3 - n**2 + 421*n**3 + 8*n + 2 - 5*n to the form s*n**2 + v + y*n**3 + a*n and give y.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 5 + -12 + 4 + 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*r + 132 = 25*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34895*o - 3 - 34895*o + 3 - 3*o**3.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -9455 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*g - 322 = -1235 - 47 for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 831, -3, 3, 2 in ascending order.\nAnswer: -3, 2, 3, 831","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -8*w. Suppose -3*p + 129 = -w*p. What is the common denominator of p and (-114 - -1)\/(-2 - -12)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -6) + 265 + -275?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 5*i**2 + 3*i + 17. Let w be y(6). Suppose 21 = -2*p - 3*t, -2*p - 3*p + 3*t = 21. What is the units digit of p*(-387)\/(-135)*w*15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373670 divided by -110?\nAnswer: -3397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/11, 0.2, -2\/13, -0.08, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.7 - 1.8. Let n = 2 - k. Let z = 0 + -0.5. Put n, -2, z in descending order.\nAnswer: n, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x = -5*n - 8*x - 105, -6*n - 9 = 6*x + 81 for n.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 4*z**2. Let w(v) = -20265*v - 1. Calculate w(k(d)).\nAnswer: -81060*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.42756209 rounded to one decimal place?\nAnswer: -13.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of -t**6\/120 + t**3\/2 + 2*t**2 - 2*t. Let r(d) be the first derivative of u(d). What is the derivative of r(l) wrt l?\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 11*u**3 - u - 2. Let c = 21 + -19. What is the remainder when o(c) is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -45076\/5 or -394?\nAnswer: -394","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4672.335kg in micrograms?\nAnswer: 4672335000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1262276?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + 86*u + 7372. Let p be k(139). Solve -p*i = 107 - 112, -5*i = 4*j + 3 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1856, 3\/10, 0 in increasing order.\nAnswer: 0, 3\/10, 1856","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*2\/(-3)*(1 + 22). Let a = -44 + p. Factor 5*n**3 + n**5 - a*n**4 + 0*n**3 - 2*n**3 - n**2 - n**4.\nAnswer: n**2*(n - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 564283693 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 - 21. Suppose 6*v = h*v. Solve v = -6*s + s + 15 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 9*a**3 - 5*a**2 + 5*a - 1. Let r(z) = -5*z**3 + 3*z**2 - 3*z. What is -3*l(g) - 5*r(g)?\nAnswer: -2*g**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/800 and -101\/880.\nAnswer: 8800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6692394?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1045*o**2 + 18*o + 12*o + 3*o - 3173*o**2 + 1053*o**2 + 1073*o**2.\nAnswer: -2*o**2 + 33*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -2*m - 4*p + 52, 4*m = 3*p - 5 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24214 is divided by 8062?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000364199511 rounded to seven dps?\nAnswer: 0.0000364","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-625)\/(2\/(-43 + 7))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7051, 7485, 8209, 9223?\nAnswer: 10527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) + sqrt(133) + -2*sqrt(133))*-4 + sqrt(133) + -2*2*sqrt(133) + sqrt(133))\/((sqrt(700)*-5 - sqrt(700))*-6).\nAnswer: -sqrt(19)\/180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 157839?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ma when two letters picked without replacement from ssmmmsmfsvsmamssma?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*a - 18968 - 13336 = 0. Which is bigger: 674 or a?\nAnswer: 674","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n. Let w be t(-1). Let j(y) = 7*y - 1. Let v be j(w). Let l(o) = o**3 + 9*o**2 + 7*o + 11. Calculate the remainder when l(v) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1675*n - 126223 - 39602 for n.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-3 + sqrt(76)\/sqrt(4))**2 - (sqrt(19)*-2*5 + -3)**2.\nAnswer: -1877 - 66*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 156 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 55*l**2 + 64*l + 17. Determine u(54).\nAnswer: 557","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 43944 and 14648.\nAnswer: 43944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0333 * -0.3.\nAnswer: -0.00999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3186953901 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 3*p - 6, 3*s - 13 = 3*p + 5. Suppose 30 = s*h + f - 1, 47 = 3*h - 4*f. Let o(c) = h*c - 4*c - 7*c + 0*c. Let u(z) = 36*z. What is o(u(v))?\nAnswer: -72*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-970)\/(-97))\/(1*2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1773\/2453 - 5978436\/6856135. Let b = d - 1\/215. Let c = 0.01 + 2.99. What is the closest to c in b, -3\/4, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 21\/3 + ((-4)\/(-5))\/((-28)\/(-350)). Solve -5*w - 7 = 4*o, -14*w - m = -o - 9*w for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 354?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 1. Suppose 4 = c + u. Calculate the smallest common multiple of (1*-6)\/((-2)\/3) and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -8*l + 18. Suppose -12 + 2 = l*k. Let y(d) = d - 3. What is y(k)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 664?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 9:51 PM?\nAnswer: 9:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2788558?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (24\/45)\/((-4)\/(-10)). Let z = 38 - 37.66. Let d = 0.64 - z. What is the third smallest value in d, 1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19980 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1728720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 4*p - 3272, 26*h - 27*h - 3*p + 798 = 0. List the prime factors of h.\nAnswer: 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**4 - 31140*l**3 - 121212450*l**2 = 0.\nAnswer: -7785, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**5\/9 - 296*b**4\/9 + 10034*b**3\/9 + 67468*b**2\/9 + 139832*b\/9 + 94864\/9 = 0.\nAnswer: -2, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 256 - 154. What is the remainder when d is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4697 and 385?\nAnswer: 23485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -4*i + 13, 6*i - i - 12*b = 41 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 238 (base 12) to base 4.\nAnswer: 11030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/190 and -101\/266.\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*r = -2*x - 16, 2 = -5*x - 3*r. Suppose -4*c + 480 = y, -c + y - 117 = -x*c. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 194*p - 463. What is the units digit of l(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2904?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.679832 decades in months?\nAnswer: 81.57984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 109 - 7392*p + 25 - 134 as j + v*p and give v.\nAnswer: -7392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s**3 - 3*s**3 - s**3)*(8 - 1 + 3).\nAnswer: 10*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -88 + 21 + 4 + (-27 - -14) + -14 + 4?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u - 465 + 2*u - 935*u**2 + 236 + 229 to c*u + v*u**2 + g and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7263, 7287, 7337, 7425, 7563, 7763?\nAnswer: 8037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by (-41)\/(-82) - (70\/(-4) - 1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7547376 a multiple of 389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 2)*(875*m + 443*m + 2 + 1244*m).\nAnswer: 7686*m + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 221.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2587.41 and 105624.61.\nAnswer: 108212.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 4*n**3 - 27*n**2 - 16*n - 5. Give l(7).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a98 + -52?\nAnswer: a46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -201, -402, -603, -804, -1005, -1206?\n\"Answer: -201*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s**3 - s + 5. Let b be n(0). Suppose -b*t + 30 = 4*k, 3*t + 0 + 6 = 0. Calculate the highest common factor of k and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b - 23*b = 17 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6647113147 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 + 25*s - 210. Determine h(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3 + -0.44. Let k = 0.207 + l. Round k to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2112 (base 5) to base 3.\nAnswer: 101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2\/9)*r\/r**(-3\/5)*(r*r*r**5*r)\/r**(-1\/15) assuming r is positive.\nAnswer: r**(85\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/4*(-2)\/21.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qcccxqcxqxqq. Give prob of sequence xcx.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-32)*h*h**11*h)\/(h*h*h**(-17)*h)**(-7) assuming h is positive.\nAnswer: h**(-117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 4*a = 5*a - 1, -a + 61 = 5*j + 64 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*d**2 + 14*d**2 - 19*d**2 - 2*d + 4*d.\nAnswer: 5*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (y + 1 - 1)*(5*y + 4*y**2 - 5*y) - 2*y**3 - 2 + 2 + 0*y**3 + 2*y**3 + 2*y**3 as s + m*y**2 + x*y + f*y**3 and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 9) in base 6?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 329 is divided by 84?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**4 + 471 + z**3 - z**2 - 464 + 61*z - z**4 - 66*z to the form k*z + x*z**2 + h*z**3 + c + o*z**4 and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1186215, -4744881, -10675991, -18979545?\nAnswer: -29655543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 4829565387*b**2\/5 + 8185092*b\/5 + 3468\/5 = 0.\nAnswer: -34\/40123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31714, -31717, -31720, -31723?\nAnswer: -31726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 - 32382*k + 1777910. Give b(55).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -11*r - 110. Let j = r + 82. Calculate the greatest common divisor of j and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 61 + 3835\/(-59) - (4 - (-35 + -3))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**25)**(-24)*n**(-7)*n\/(n\/n**(-3\/10)) assuming n is positive.\nAnswer: n**(5687\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 4*t + 64, -t - 41 = q. Suppose 0 = 2*o + 3 + 57. Let l = o - q. Calculate the least common multiple of l and 7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w = 2*j - 12*w - 2735, 5*j + 3*w = 6806. Is j a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/((-42)\/(-6)) + 85834 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 174811110 to the nearest integer?\nAnswer: 559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -220248 (base 11) in base 4?\nAnswer: -1111312332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -200175 divided by 2669.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 4 - 5)*(-4*x**3 - 2*x**3 + 5*x**3) + 21 + 627*x**3 - 110*x**3 - 23 to y*x**3 + d + c*x**2 + b*x and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 divided by 1?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-2) + 31800\/48. What is the highest common divisor of k and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) 3073 (c) 0.5 (d) -5\/19 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/13 in 5, -380.82, -0.5, -23?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*l + 672 = 174*l - 341*l for l.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -53 - 63 - q - 55 + 3*q**3 + 234 - 62 - 35*q**4 + 15*q**2 to i*q**4 + a*q**3 + f + y*q**2 + o*q and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 316680381837 - 0.02\nAnswer: 316680381836.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) -5 (c) -21 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 61237 and 167596.\nAnswer: 3184324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x + 4. Let p = 7 - 3. Let q be i(p). Let j be 1\/(-10) - (12 + (-1266)\/60). Which is smaller: j or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11550 divided by 175\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 1 - 7. Solve 0 = -q*a + 9 + 3 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -813\/476 + 87\/68. Which is the nearest to -25? (a) -1\/3 (b) -2\/19 (c) j (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**3 - b**3 + b**5 + (21*b**4 - 14*b**4 - 19*b**4)*(-3*b + 2*b + 2*b).\nAnswer: -11*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -0.17 (c) -2\/3 (d) -0.0589\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4212 divided by -39\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 57\/7, -2.7, 1\/5, -0.4 in descending order.\nAnswer: 57\/7, 1\/5, -0.4, -2.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 10*c**2 + 12*c + 8. Let k be d(9). Let p = k + -15. Suppose 4*w = p + 36. What is the remainder when w is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 272 and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a + 1. Let h be d(1). Suppose h*s - 3*u - 221 = 3*s, 0 = -2*s + 3*u + 433. Let g be (-3)\/5 + s\/20. Solve 5*z = 15 + g for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10537632 divided by 504?\nAnswer: 20908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - y = 0. Let g(t) = t - 2. What is g(y)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z**(-12)\/z)*z*z**(1\/3)*z assuming z is positive.\nAnswer: z**(49\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**2 + 2*w - 5. Let n(j) be the second derivative of j**4\/4 - j**3\/3 + 3*j**2 + 14*j + 4. Give -4*i(a) - 3*n(a).\nAnswer: -a**2 - 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/6 - (-316)\/12. Suppose 5*y + 37 - 4 = 4*f, 3*f - 4*y = j. Suppose f*x = 4*d - 56, -16 = -2*d - 6*x + x. What are the prime factors of d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 20 = -0*k. Let x be (0 - k\/6)*-144. Round x to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -130, -147, -166, -187, -210, -235, -262?\n\"Answer: -j**2 - 14*j - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21997912 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9693 and 64979.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 153983955 to the power of 1\/2, to the nearest integer?\nAnswer: 12409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from {z: 9, o: 7, r: 1, p: 2}.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29815 + 29793 + 29791 + 4*u - 119198 + 29799.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(3 - 2) - 14\/(-140)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 27*v**2 + 10*v - 9. Is x(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3564*p - 3539*p + 10656*p - 3554*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + (2 + -3 - -11). Let g = -26 + 19. Let v = g + u. What is the remainder when 3 is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 27*h**2 - 70*h - 48. Let c = -9827 + 9851. Determine x(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3714?\nAnswer: 2, 3, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h + 26. Let g be f(-6). Let s be 212\/140 + g\/28. Factor 9\/5*n + s*n**2 + 3\/5 + 3\/5*n**3.\nAnswer: 3*(n + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6604803 times 0.1\nAnswer: -660480.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -18622 divided by 9311?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42 - (-19340)\/460)*2\/3?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 473034 and 156?\nAnswer: 12298884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 3*n = 1514, -13*n + 9*n = -5*r + 1908. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2 + 0)\/(3832\/(-638) - -6)?\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4932)\/406890 - 74\/(-660)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 480021 = -3*x - 2313615, 0 = 4*x + 5*c + 2444815. What is x rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 0.018, 2, 2\/11, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + ((-4 - -6) + -8 - (8 + -11))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1461 is divided by 317.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.4 take away 0?\nAnswer: 8.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -19 + 24 - (-2 + 2 + 8)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1377023 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -144576212309.\nAnswer: 144576212312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 11:26 AM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8073 = 110*u - 881 - 1434 + 2272 for u.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 642049 a multiple of 976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 j when two letters picked without replacement from ususuduuduusssjjddu.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -42815 and 0.\nAnswer: -42815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -2*c - 36. Suppose c = 3*k + 3. Suppose -2*j + 37 = -3*a, 0*j + 64 = k*j + 2*a. Solve 0 = -4*d - 3*r - 20, -4*d - r - j = d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16151346 to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75, 142, 199, 240, 259, 250, 207, 124?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 3*i - 24. Let v(d) = -d. Let g be v(-2). Suppose -12 = -2*x - 2*j, 3*x - 26 = g*j - j. Calculate the highest common divisor of x and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2669941 is divided by 228.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 - -29. Let n be (370\/a)\/((-4)\/(-6)). Suppose -k + n = -162. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29 + 32. Suppose 0*w + a*w - 33 = 0. Suppose -2*b + w = -17. What is the lowest common multiple of b and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 50.948 to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39431336 to the nearest integer?\nAnswer: 6279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2. Let i(h) = -2*h - 5. Let v(g) = -6*d(g) + 2*i(g). Suppose 228*f + 3 = 227*f. Calculate v(f).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 65833*d + 678*d**4 - 1 - 6*d**3 - 65833*d to s*d**2 + j*d**4 + z + o*d + g*d**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 344896, 689807, 1034718, 1379629, 1724540?\nAnswer: 2069451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.0234 rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 78.433 + -72.43405. Let h = -6 + l. What is h rounded to four decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + w + 3. Let v(p) = -p**3 + 2*p - 46. Determine 2*g(n) - v(n).\nAnswer: 3*n**3 + 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 49 + 47 + 32549*w + 53 - 149 in the form y*w + j and give y.\nAnswer: 32549","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 3*o - 19 = -2*i, 7*o - 35 = 0. Let z = -15\/4 + 3. What is the third biggest value in i, 4, z?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 128*b + 5*b - 22*b + 27*b in the form l*b + g and give l.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13456\/77 - -1938\/11. Suppose -2\/7*d**4 - l*d**3 - 16\/7*d**2 + 0 - 8\/7*d = 0. What is d?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -385629 <= -385628?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-1\/4))\/i*i**6*i\/i**(2\/5)*i**(-8)*(((i\/(i*i**2))\/i)**26)**(-45) assuming i is positive.\nAnswer: i**(70167\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.03, -0.1, 27?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2009*f + 2013*f = -16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1138369748?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 10. Let x = -20 - -31. What is the remainder when 3\/(k\/2)*-16 is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*i - 15*i + 6*i = -35646. Calculate the remainder when i is divided by 78.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of 151*f**5\/60 - 188*f**2 + 2. Let l(k) = -2*k. Calculate l(p(s)).\nAnswer: -302*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 20\/15 + 2 - (-11 + 14). Let c = 6 + -4. Let a = c - 2. Put -5, a, l in ascending order.\nAnswer: -5, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 4*l + 74. What is the units digit of f(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-2*(((sqrt(132)\/(sqrt(33)\/sqrt(3)))\/sqrt(6))**2 + -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -13080\/37187?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u*u**21*u)*u**(3\/22)\/u)**(-2\/15) assuming u is positive.\nAnswer: u**(481\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -c + 137. Let m = c + 194. Suppose -m - 47 = -2*g. What is the highest common factor of g and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18761675027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/20 and (4 + 584\/(-54))\/(-10)*-3?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -189.5 minus 0.9711397?\nAnswer: -190.4711397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 280*m - 31885610 + 12684322 = 50740192. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -5*p - 14, 4*o + 2*p - 7*p - 17 = 0. Suppose 0 = -n + s + 10, n - o*s = -0*s. Let f be (20\/n + -4)*963750. Round f to the nearest 100000.\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1365*f*h**2 + 2*f*h + 3*f + 596 wrt h.\nAnswer: 2730*f*h + 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/119162 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 209 + 171 = 5*k, 3*k - 198 = 8*l for l.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p**2 - 5*p + 9. Let b(k) = -k**2 - 2*k + 4. Let d(x) = -9*x**2 - 76*x - 18. Let n be d(-8). Determine n*b(s) - 6*f(s).\nAnswer: -2*s**2 + 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 53\/6 - 269\/24. Calculate the common denominator of 455\/60 + 4\/(-6) and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 587 a factor of 5244258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 162923720 a multiple of 303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 39 and -0.1844?\nAnswer: -7.1916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3549448671 to the nearest integer?\nAnswer: 1525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 949346653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -539\/3 + 2159\/12. Let d(w) be the third derivative of 1\/60*w**5 + 0 + 2\/3*w**3 + 0*w - j*w**4 + 18*w**2. Determine d(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103135.\nAnswer: 5, 20627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -2*s - 74, 0 = -0*a + 3*a - 5*s - 101. Calculate the least common multiple of 30 and a.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*i = 4*i - 94 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 7, -5, 1 in decreasing order.\nAnswer: 7, 4, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/8 in 0.2, 2, -5, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6060 and 2020.\nAnswer: 6060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5353634170330 take away 0?\nAnswer: 5353634170330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 155841, 311682, 467523, 623364?\n\"Answer: 155841*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - 488*i**2 + 4985*i + 53. Determine g(10).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**3 - 2*g**2 + g. Calculate the remainder when (-16)\/(-10)*(-11)\/(-44) - 24\/(-15) is divided by q(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*s**3 + 5515*s**2 - 30100*s + 4500 = 0. What is s?\nAnswer: -90, 2\/13, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1))**(-43)*(i**(-1\/4)\/i)**8)**(1\/28) assuming i is positive.\nAnswer: i**(33\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.373 - 2119.573. Round c to the nearest ten.\nAnswer: -2120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 3492216 = 11*c. Let f = c + -174976. What is f rounded to the nearest 10000?\nAnswer: -560000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -175.1 - -13.1.\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 203 divide 36815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2491451 and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4390*r + 4387*r + 6 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 100201120220 (base 3) in base 5?\nAnswer: 22111202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2 - 1585200*n - 30120244.\nAnswer: 4*(n - 396319)*(n + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 1 (c) 0.1 (d) 5 (e) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -90352, -94007, -97666, -101329?\n\"Answer: -2*d**2 - 3649*d - 86701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 93440 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27156*x**3 + 1629340*x**2 - 24439200*x - 18000.\nAnswer: -4*(x - 30)**2*(6789*x + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*g - 8 = -0*u, 0 = 4*u + g - 4. Let z = u - 3. What is the least common multiple of 16 and 13 + z - (2 + -2)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5480 by -566.\nAnswer: 2740\/283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (200\/(-350))\/(36\/70)?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/238 and -2*(2 + -1) + 98\/10.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-6)*0\/1*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 47*b - 1654. What are the prime factors of l(72)?\nAnswer: 2, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, e: 2}. Give prob of picking 1 e and 1 o.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1187*i - 38744 = -224*i + 75*i for i.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -14 + (27 - 26) + (-1 - -3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 495, 621, 819, 1089, 1431, 1845?\nAnswer: 2331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -533580*v**3 + 266796*v**3 + 266788*v**3.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3*g**3 - 8*g**2 + 5*g - 7. Let l(j) = -7*j**3 - 17*j**2 + 10*j - 14. Let k(q) = -5*b(q) + 2*l(q). Let w be k(-7). Is -8 at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3716 - 3051. Calculate the highest common divisor of v and 1463.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 31*y. Let z(j) = 50216*j**2 - 25093*j**2 - 25104*j**2. What is r(z(i))?\nAnswer: 589*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -196*y**5\/3 - 602*y**4\/3 - 206*y**3 - 202*y**2\/3 + 22*y\/3 + 4 = 0. Calculate y.\nAnswer: -1, -2\/7, 3\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**5\/5 - 3*k**4\/5 + 2*k**3\/5 + 2*k**2\/5 - 3*k\/5 + 1\/5 = 0. What is k?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*g**3*m**3*n - 4*g**3*m*n**2 - g**2*m**3*n**2 + g**2*m + g*m**3*n**2 wrt g?\nAnswer: 24*m**3*n - 24*m*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -7. Let y = 24.5 + -24. Let m = -0.5 + y. What is the third smallest value in m, l, -2\/9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 7*s - 2*s + 770 = 0, -308 = -2*t - 4*s. Is t >= 155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7554.614us in seconds?\nAnswer: 0.007554614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (22 - -1) + -18 - (2 - 14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -982736 + 4913728\/5. What is m in -v + 0*m**3 + 36\/5*m**2 - 16\/5*m - 4\/5*m**4 = 0?\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u**2 - 12*u + 18. Let j be a(-12). Let r = 135 + j. Let n = -7 - -10. What is the greatest common factor of n and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 - -19. What is the tens digit of (54 - -4) + (-3)\/f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**2\/9 - 664*s\/9 + 7546\/9 = 0. What is s?\nAnswer: -343, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -100111111010100011000 (base 2) in base 7?\nAnswer: -14055126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 71 - ((25 - (-25 - -35)) + -4).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5992848101 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18420770, -18420771, -18420774, -18420779, -18420786, -18420795, -18420806?\nAnswer: -18420819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 7:33 PM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 2*d + 31, 5*d = 5*y - 0*y + 125. Let u(w) = -w**2 + 3*w + 109. Let p be u(0). Let v = p + y. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1*-1)\/(5\/(-30)). Is ((-2)\/l)\/((-3)\/20853) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 1.154763\nAnswer: 0.5773815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 6721*x**3 + 141*x**2 - 141*x - 141. Let d(c) = -240*c**3 - 5*c**2 + 5*c + 5. Calculate -141*d(r) - 5*q(r).\nAnswer: 235*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of 2*q**3\/21 - 55*q**2\/7 + 191. Suppose x(c) = 0. What is c?\nAnswer: 0, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6889448, 6889470, 6889494, 6889520?\nAnswer: 6889548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus -177706753.1?\nAnswer: 177706754.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, s: 2, e: 2, h: 1, c: 4, n: 1}. What is prob of sequence shns?\nAnswer: 1\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.291 + -0.391. What is the third smallest value in j, -2\/11, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -10.7 (b) 1615 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13452 and 486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1382 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -110*b**2 - 8*b + 6. Let r be n(1). Let u = 156 + r. Suppose -4*g = -4*j + 40, -6*j + 2*j = -3*g - u. What is the lowest common multiple of 6 and j?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.08 + -0.11. Let b = 123.987 + 0.013. Let q = -125 + b. What is the closest to q in 4, -0.4, z?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 77, 1\/2, 1, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 835766*0.3.\nAnswer: 250729.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 532 - 531. Let d be q\/(-5) - 1302\/35*-1. Is d smaller than 37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuexxeeuuxx. What is prob of picking 1 u, 1 x, and 1 e?\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 113*n - 7. Let u be i(3). Let s = u + -1327\/4. Let m = -1 + 6. Which is the biggest value? (a) 4\/5 (b) m (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 398740818 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2461747 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96 and 6080.\nAnswer: 18240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23504 and 416?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -3*y**3 - 18*y**2 - 15*y = 0.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 4. Suppose 0 = -5*f - 18 + 3, -c*f - 15 = -3*m. Let v(s) = 31*s + 1. List the prime factors of v(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24587.\nAnswer: 23, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11706 is divided by 64.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 + 1.3. Suppose 7*l - 5*l = -2. Let u be ((-3)\/(18\/3))\/2. Which is the biggest value? (a) u (b) n (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 405051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 406 divide 2624556556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98780 is divided by 67?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 15042.76 to the nearest one hundred.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*c = -27*c - 168. Calculate the remainder when (-1)\/3*c\/2 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v - 14. Let o be q(-11). Let i(x) = 4*x + 20. Let r(p) = p + 7. Let d(w) = -2*i(w) + 7*r(w). What is the units digit of d(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 769*n**2 - 34*n - 84. What is the hundreds digit of q(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2442109*g*h - 16*g + 2*h - 777745035 wrt g?\nAnswer: -2442109*h - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 8) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 818733297 and 5241?\nAnswer: 5241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -4*s**4\/3 + 3800*s**3\/3 - 956404*s**2\/3 + 8342560*s + 27931200 = 0?\nAnswer: -3, 33, 460","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1735 + -3?\nAnswer: -1738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -48247, -96538, -144835, -193138?\n\"Answer: -3*c**2 - 48282*c + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 4*d - 54. Let g be s(14). Suppose 4*r + 752 = 4*n, g*n + 2*n - 5*r - 747 = 0. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2 (b) -41 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g - 8. Let l(i) = 3*i + 1. Let t be l(1). Suppose -w = -t*w. What is q(w)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*l**2*x + 2*l**2 - 2*l*x + 108*x wrt l.\nAnswer: -6*l*x + 4*l - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -0.041\nAnswer: -0.0123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2760624941 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (18 - (-2 + 8 - 19 - (47 + -63))).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28415835?\nAnswer: 3, 5, 7, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 668 a factor of 2847550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 - (21 - 6) - -1?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 73742 + 929*s**5 - 73742 + (3*s**3 - s**3 - s**3)*(-4*s**2 + 3*s**2 - 6*s**2) + 2*s**5 + 3*s**5 - 6*s**5.\nAnswer: 921*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 226, 305, 370, 415, 434, 421, 370?\nAnswer: 275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8420\/18 + 22\/99?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 7*n + 2. Let m be j(7). Solve -5*o + 22 = m for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 6 (b) 2\/9 (c) 4\/3 (d) 1 (e) 1.1362\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.068 and 2.\nAnswer: 1.932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.05 at most -86\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -258*j - 329*j + 11931 + 2157 for j.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7.5? (a) 1\/8 (b) 0.2 (c) 0.09573 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 7*c**2 - 6*c - 12. Let f be z(8). Suppose 5*p + 15 = 0, 4*i + 0*i - 11 = -3*p. Suppose i*q = 2*q. Sort f, q, 3 in ascending order.\nAnswer: q, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75864 times -704?\nAnswer: 53408256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4 + 4 = 0. Factor 10*x**2 + 3*x - s*x + 0*x - 5*x**3.\nAnswer: -5*x*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-3))\/((-12)\/(-18))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22583 + 4233. What is l rounded to the nearest 1000?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, s: 10}. What is prob of picking 2 t?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 9:50 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (2\/(-6))\/(132\/(-558)) and 13\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(352\/55)*-2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69776 is divided by 29606.\nAnswer: 10564","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 4*z - 4. Let t be h(-5). Let m be 0 - (-3 - (t - 2)). Let f be (-32)\/(-12)*m\/(-12). Is f at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d + 23. Let t be w(4). Let u be (-2)\/(-4) - (-3)\/2. Suppose u*l = l + t. What are the prime factors of l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1230169 (base 12) to base 16\nAnswer: 361be1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4 - -0.41. Let r = h + 0.29. Let l(f) = -2*f**3 + f**2 - f - 1. Let n be l(-1). Which is the nearest to 1? (a) n (b) r (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from sivsvp?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 7:06 AM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2643476463.\nAnswer: 3, 293719607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + o = -300. Suppose 2*n + 0*n = z + 467, 4*n - 936 = 4*z. Let g = -133 + n. What is the greatest common factor of o and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 m when two letters picked without replacement from {m: 1, c: 1, v: 1, s: 1, r: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - (-176 + -1 + 1). Suppose -100 = 2*k - 8*h, -4*k + 175*h = 171*h + 32. What is the greatest common divisor of k and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of -58*f**7\/105 - 5*f**5\/3 - f**3\/3 - 27*f**2. Find the third derivative of l(a) wrt a.\nAnswer: -2784*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - 19. What is the second smallest value in l, -4, -0.07?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (11 + 109\/(-10))*8. What is the third biggest value in -1, m, 149?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-40) + (-9)\/30?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z**2 + 42. Let f be (-2)\/2 + 4 - (0 + -1). Suppose 5*c - 9*c = f. Let n(u) = -1. Let j(y) = c*d(y) - 18*n(y). Differentiate j(p) with respect to p.\nAnswer: -6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/3 (b) -4\/7 (c) -1\/3 (d) -4413 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -846016 divided by 8.\nAnswer: -105752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.18659321 and 0.5.\nAnswer: -0.093296605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 1163.188 micrograms?\nAnswer: 0.000000001163188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 25 + 16 = 0. Sort i, 0, -6 in increasing order.\nAnswer: -6, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 2*i + 1. Suppose -4 = -9*h + 23. Calculate x(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5555 - -26578. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/12)\/((-15)\/(-74)) + 9\/(-15). Which is the closest to j? (a) 8\/5 (b) 0.51 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11 or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 218 a factor of 4850416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -5 + p**3 + 4 - 3*p**2 + 0*p - p + 3*p. Let s = 2 + -1. Let g = s + 2. Determine w(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 817478276.\nAnswer: 2, 59, 157, 22063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*w - 5*n + 3, -3*n + 21 = 5*w - n for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102867602?\nAnswer: 2, 51433801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2011.\nAnswer: 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -5 - 698*y - 3 + 1389*y - 699*y + 11. What is t(-2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = -y + 1. Let f = y - -69. Suppose j = 0, -s + f*s - 2*j = -3. Solve -2*l = -s - 5 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*j + 2*j - 4*j)*(-25*j**2 + 48*j + 28*j**2 - 5*j**2) - 10*j**2 + 10*j**2 - 16*j**3 to g*j**2 + w + y*j + s*j**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 7:36 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 596971393 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 4) to base 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2. Let d(q) = -8*q**2 - 2*q - 2 + 8*q**2 + q**2 - 3*q**2. Give -d(b) + 3*u(b).\nAnswer: -b**2 + 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - 3 - (-29 - -5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13c81 (base 13) to base 9.\nAnswer: -56127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1001 (base 2) to base 5\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 64\nAnswer: 5\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -100056, -398977, -897178, -1594659, -2491420?\nAnswer: -3587461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 32697, 261719, 883395, 2094051, 4090013, 7067607, 11223159?\n\"Answer: 32721*q**3 + q**2 - 28*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p\/p**(1\/5)*p*p**(-19)*p assuming p is positive.\nAnswer: p**(-76\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 75\/(-650)*4\/18*6.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3872 and 846472.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -18 divided by -1141704\nAnswer: 1\/63428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/15)\/m**(3\/17))**(-44) assuming m is positive.\nAnswer: m**(1232\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a centimeter in millimeters?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2 = 0, j - 4*j - 3*y = -12. Let g(v) = -v**2 + 7*v + 1. Give g(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 157367949 to the nearest integer?\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4524 and 140?\nAnswer: 158340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 46, -1, 1, 3 in descending order.\nAnswer: 46, 3, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 3 + -1 + -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 195*y - 1208. Let r be k(-6). What is the nearest to r in 5, 1.64, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 83450175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -227, -215, -195, -167?\n\"Answer: 4*v**2 - 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -89, -119, -187, -311, -509, -799?\n\"Answer: -3*q**3 - q**2 - 6*q - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -1\/1229191282 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of -y**5\/12 + 440*y**4\/3 - 2*y**2 - y - 424. Determine t so that o(t) = 0.\nAnswer: 0, 704","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/4 of a hour?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i - 15 = 9*i. Let p = -188 - -183. Sort i, -1\/16, p in ascending order.\nAnswer: p, -1\/16, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(1331) + 2 + -2 + sqrt(1331)*2 - (sqrt(1331) + sqrt(1331) + 4 + sqrt(1331)*-2 + sqrt(1331) + sqrt(1331) - -5*(-1 + sqrt(1331)))**2.\nAnswer: -65222 + 187*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*q**4 + 1738392*q**3 - 41972315912*q**2.\nAnswer: -2*q**2*(3*q - 144866)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/18*1 + 410\/450. What is the fourth biggest value in -5, 5, h, 0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**2 - 35*o + 33. Let b be s(21). What is the greatest common factor of b and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3*x**2. Let c(d) = d + 3*d + 3*d - 10*d. Calculate c(j(w)).\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 72 = 2*d, -423999*p + 2*d + 72 = -424003*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in 3, 2\/11, 1, -0.4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of -11 - 3648\/(-104) - (3\/13)\/3 and 237.\nAnswer: 1896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 6:36 PM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -4057259*g + 44. Let c be z(-4). Let s = c - 10636080. Round s to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28*i**2 + 4*i**3 + 5*i + 28*i**2 wrt i.\nAnswer: 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 287464*n**6 - 985768*n**2?\nAnswer: 34495680*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(192) + (sqrt(192) + 2*sqrt(192)*1)**2) + 1*-6*(sqrt(192) - (-1 + sqrt(192))**2))*1 + -2.\nAnswer: -96*sqrt(3) + 11524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in 212, 0.2, 15740?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**4\/7 + 2948*r**3 + 53354234*r**2\/7 + 91146264*r + 1911845448\/7 = 0.\nAnswer: -5153, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 287961264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 9*j**2 - 15*j + 9. Suppose -2*o + 3*z + 18 = 2*z, -5*z - 34 = -2*o. Let p be g(o). Solve 0 = p*i - w + 4, -10 = -0*i + 5*i + 2*w for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 - 23*q + 2078. What are the prime factors of r(0)?\nAnswer: 2, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 8 + -1 + -3 - (-2 - 7).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 24*h**2. Let g = -145 - -187. Let v(s) = 32 + g - 5*s + 4*s - 74. Give v(p(u)).\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of -22*c**7\/105 + 2*c**3 + 17*c**2 + 3*c. What is the first derivative of t(x) wrt x?\nAnswer: -176*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(245)*-1*-4 + 4 - (5 + sqrt(245) + sqrt(245) + (1 + sqrt(245) + sqrt(245))*4))*2)**2 + 2.\nAnswer: 42000*sqrt(5) + 884502","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/9*m**2 + 2\/9*m + 0.\nAnswer: m*(m + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a kilogram in grams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-4)*(-6)\/1. Let a(h) = 3*h + 7. Let u(n) = 8*n + 20. Let q(x) = -7*a(x) + 2*u(x). Let f be q(-6). Calculate the greatest common factor of m and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*l = -28*l - 335 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000007814 to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 336\/(-48) - (-3 - (0 + 0))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 0*h = 44, 213 - 311 = -5*a - 0*h - 2*h for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1798)\/(-1612))\/((-27)\/(-6) + 2) and 4\/91.\nAnswer: 1183","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -18. Let u = -23 - g. Let d = u - -11. What is the second biggest value in d, 5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*g**4 + 10*g**4 + 12*g + 10*g**4 wrt g.\nAnswer: 204*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -65 + 137. Let g = y + -34. Let t = 26 + 86. Calculate the remainder when t is divided by g.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6934949 milligrams to micrograms.\nAnswer: 693.4949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 865358 less than -8.882?\nAnswer: -865366.882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.09 and -1.298.\nAnswer: -1.208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 191*d**2 - 5*d - 5. Calculate the remainder when c(-1) is divided by 48.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 58 = -248. Calculate the smallest common multiple of f and 20.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -567 = -4*z + 3*n, z = 4*z + 5*n - 447. Suppose 0 = -3*r + 2*a + 59, 66 = -3*r - 2*a + 169. What is the greatest common divisor of r and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (4161\/(-190))\/((-18)\/6432) + (-4)\/(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/9)\/((-1)\/(-45)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 768590, 134.\nAnswer: 0.5, 134, 768590","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -2, -4, 121, 2\/2713?\nAnswer: 2\/2713","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*m + 21 = 38*m for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffdb when four letters picked without replacement from bqfhffhqqbqdqkhbh?\nAnswer: 3\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(3\/10)*u**(1\/13)*u**(-6)*u\/u**1 assuming u is positive.\nAnswer: u**(-731\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 10:34 PM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**4 + 0*b**4 - 2*b**4 + (6*b**2 + 5*b**3 - 6*b**2)*(-36*b - 170 + 170).\nAnswer: -181*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 14*z**2 + 3*z - 2. Let k = 4929 + -4931. What is n(k)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 18*t**3 + 28*t**2 - 24640*t + 10944 = 0?\nAnswer: -38, 4\/9, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 62100 and 24?\nAnswer: 124200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15757 - -15757.3. Let b = 0.16 - -0.04. Sort -9, b, o, 5\/4 in descending order.\nAnswer: 5\/4, o, b, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -380 = -5*s + 135. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -691, -1381, -2071, -2761?\n\"Answer: -690*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/36)*z*z**(-3))**(-1\/3) assuming z is positive.\nAnswer: z**(71\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 12*s - 36. Let r be t(3). Solve -7*q + 15 + 6 = r for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 7 - 8 = 4*c, 0 = -5*s - 3*c + 6. Suppose s*w - 1118 = -w + z, -w + 2*z = -283. What are the prime factors of w?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1328350 divided by 5?\nAnswer: 265670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 8:13 PM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010001110011010011 (base 2) to base 4.\nAnswer: 2101303103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 1, w: 18}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one tenth of a meter?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 + 18.15. Let v = o - 0.65. Which is the second smallest value? (a) v (b) -4\/9 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 61, 1.4, 5, -26, -0.5?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 625616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12.98 + -0.02. Let r = 225 - 236. Let h = l - r. Which is the nearest to 0.2? (a) -4 (b) -4\/7 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45*x**3 + 5 - x**2 - 321*x**3 - 5 to c*x**2 + v + t*x + a*x**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5728 + -5731. What is the third biggest value in -7\/3, -5\/3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275)*-4)**2 - (sqrt(33)\/sqrt(27) + sqrt(11)).\nAnswer: -4*sqrt(11)\/3 + 4400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/(-2)*2\/(-2). Let q be (13 - -1)\/(-1) - (5 - 2). Let o = f - q. Does 6 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence il when two letters picked without replacement from arlicfia?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, i: 3, w: 2, z: 1, h: 7, r: 3}. What is prob of sequence rfh?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 3*u = -9. Let z be 6\/(-8) + 50\/(800\/156). Suppose 0 = 3*a, a - 6 = -0*g - 2*g. Solve -u*p + z = -g for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.1 - 1. Let x = q + -0.4. Suppose -3*g + 2*g + 29 = -5*k, 22 = 3*g - 2*k. What is the nearest to 1 in x, -3\/2, g?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -186*g**3 - 49*g**2 - 15*g - 15. Let a(b) = 37*b**3 + 9*b**2 + 3*b + 3. Determine 11*a(s) + 2*y(s).\nAnswer: 35*s**3 + s**2 + 3*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-86)\/18 - -1 - -4. What is the nearest to u in 5, 3\/7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 13448?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 5*y**3 - 10*y**2 + 6*y + 4. Let p(n) = 4*n**3 - 9*n**2 + 5*n + 3. Let u(b) = 5*f(b) - 6*p(b). Calculate u(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p + 3*p - 3 - 3*p + 132*p**3 - 131*p**3 + 2*p. Determine b(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.974 + 684.026. Which is greater: k or 0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 275714.1 litres?\nAnswer: 275714100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -776, -1018, -1258, -1496, -1732, -1966, -2198?\nAnswer: -2428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -51*x - 269. Calculate q(2).\nAnswer: -371","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -1121603?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*o + 10*o**2 - 25*o)*(-2*o + 3 + 0*o - 1)*(3*o - 3*o + 3*o)*(o - 2 + 2).\nAnswer: -60*o**5 + 60*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 - f - 1. Let g(s) = 2*s**2 + 21*s - 2. Let m(p) = -4*d(p) - g(p). What is the tens digit of m(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2530000 rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -2) + 4 + 4 + 3\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 + -15. Suppose -2 = c*x - r, -6 = 3*x - r + 4*r. Let q(h) = -h**2 - 4*h - 1. Let d(m) = -m - 1. Determine x*q(f) + 3*d(f).\nAnswer: f**2 + f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67382794.\nAnswer: 2, 33691397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w - 27 = -18*w. What is the first derivative of -1 - w - 12 - 18*n wrt n?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -7*f**2 - 104*f + 138. Calculate x(-16).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.09 - 5. Let q = t + -3.09. Let r be 2\/3 + 3 + -4. Which is the second smallest value? (a) 0.5 (b) r (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - y = 45, 2*g + 5*y + 5 = g. Suppose 0*z + 4*z + 25 = 5*d, g = 4*d + 2*z. Solve d*o = -34 + 9 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 10, c: 4, b: 4, v: 2}. Give prob of sequence bvbc.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17239, -17316, -17397, -17482, -17571, -17664, -17761?\nAnswer: -17862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - 3)*(y + 20*y + 1 + y) as s + i*y and give i.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 20.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3013222 - -2322?\nAnswer: -3010300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 360616737?\nAnswer: 3, 13, 2791, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-118)\/(-1475) + (-123)\/(-25) - (5 + 1). Is y equal to 2\/3971?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**3\/6 - 218179*g**2 - 2618139*g\/2 - 1963602 = 0.\nAnswer: -1309068, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 431461?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 2*n + 4*y - 12, 5*n + 20 = 5*y. Let i be n\/1 - (4 + -9). Let x = -187 - -1307\/7. Does x = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide (-1 - 1)*((-23037)\/12)\/(8\/32)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 32538.3 to the nearest one thousand.\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-27) + ((-960)\/54 - -3). Let i be 50\/f + 3 + 568\/(-6). Which is the second biggest value? (a) -2 (b) i (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 10 = -10*l. Let q(y) = -y**3 + 6*y**2 + 7*y + 5. Let i be q(7). Let a(g) = 2*g**2 - 4*g - 4. Let c be a(4). Solve i*n + l = c for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 PM and 2:51 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, g: 1, s: 1, v: 1, u: 1}. What is prob of sequence gvus?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 418683?\nAnswer: 3, 67, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r - 1. Suppose -47 = 4*y - 395. Let q = y + -163. Let u be 1\/4 + q\/(-16). Let c(a) = a + 1. Give u*z(f) + 6*c(f).\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*15\/40)\/((-102)\/(-952)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**4 - 59*v**3\/4 - 285*v**2\/4 - 425*v\/4 + 125\/4 = 0.\nAnswer: -5, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5.065145, -2 in increasing order.\nAnswer: -5.065145, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -81 (base 15) to base 6.\nAnswer: -321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 4*b**2 + 73*b + 1. Let c(j) = -3*j**3 + 9*j**2 - 146*j - 2. Calculate -5*a(i) - 2*c(i).\nAnswer: i**3 + 2*i**2 - 73*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of -7\/12*g**3 + g + 1\/8*g**4 + 0 + 1\/2*g**2. What is s in n(s) = 0?\nAnswer: 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q + 7. Let k be o(-5). Let j be k - 11 - 12\/(-2). What is the second derivative of 0*m**3 - j*m + m**3 - m + 0*m wrt m?\nAnswer: 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 111 = g, -y = 5*g - 3*y - 594. Suppose 3*q - g - 51 = 0. Is 19 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1.847398l?\nAnswer: 1847.398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h + 75 - 77 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -2*s + 3*j - 64 + 62, 2*j = -6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of h**3\/2 + 7*h**2\/2 + 26*h. Determine w(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -4*r**3 - 1. Suppose 5*p + 4*o = 3, -4*o = -p + 1 - 10. Let m be s(p). Suppose 0 = -n + m*n. Which is the smallest value? (a) n (b) 5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12\/15)\/((-2)\/(-30)). Suppose -j + h = j. What is the smallest common multiple of j and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/4)\/(14\/(-84)). Solve 6*b = k*b - 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 714650 (base 8) to base 14.\nAnswer: 61db2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 550 (base 13) to base 14.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -17?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.11179 minutes in milliseconds?\nAnswer: 5526707.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6a (base 16) to base 15.\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 5:41 AM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1753357 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 962431 a multiple of 245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -6*n - 79. Let o(t) = 19*t + 231. Give 17*j(c) + 6*o(c).\nAnswer: 12*c + 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 equal to -17211?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*c - 230712 = -102*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/2*(15 - 7). Suppose 5*t = 8 + 7, 0 = 5*x - i*t - 423. Let f = -972 + 987. What is the remainder when x is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 163.70428 rounded to the nearest 10?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -b**7\/8820 - b**6\/1890 + b**5\/252 + b**4\/42 + 5*b**3\/3 - 12. Let m(d) be the third derivative of v(d). Factor m(l).\nAnswer: -2*(l - 2)*(l + 1)*(l + 3)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a\/a**(-15))*a*(a*a*a*a*(a*a**12)\/a*a)\/a)\/(a**4)**44)**(4\/31) assuming a is positive.\nAnswer: a**(-692\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5529.965 - -5530. Put h, 1, 2, -5\/6 in ascending order.\nAnswer: -5\/6, h, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 262*j**2 - 50*j - 1. Is n(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12056731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12834880 is divided by 6968.\nAnswer: 6792","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v + 475 - 2239 = 0. Suppose d - 3*t + 126 = 6*d, -5*d = -4*t - v. Calculate the highest common divisor of d and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 311 = 11*u - 327. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 75162.393551 + -75162. Let i = a + -0.393. Round i to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of 139*k**6\/6 + k**5\/10 - k**4\/3 - 4181*k**3\/3 - 4254*k. Find the second derivative of p(q) wrt q.\nAnswer: 8340*q**2 + 12*q - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(9\/(-7) + 1). Let k be (2 - 0)*w\/(-4). Let s = k + 21. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 - -0.5. Let l = 33 + -32.6. Which is the closest to -1? (a) l (b) d (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of -s**4\/4 + s**2 - 2*s - 6. Let l(w) = w - 1. Determine -4*l(f) + 2*r(f).\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of -z**6\/120 + z**5\/30 + z**4\/6 - z**3\/2 - 2*z**2. Let x be g(3). Solve s + f + 4 = x, -5*f = -0*s + 3*s + 16 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4061 from -224765559497.\nAnswer: -224765563558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117064 is divided by 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -10*w - 17. Let h be f(13). Let j = h - -259. Calculate the smallest common multiple of 2 and j.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(13) + sqrt(208) + 0 - (sqrt(39)\/sqrt(3) + -1)).\nAnswer: 4 + 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 + (-24)\/9)*6. Suppose -237 = -r*f + 6*x - 11*x, 0 = 3*f - 2*x - 365. Calculate the highest common divisor of 11 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28759, -115124, -259065, -460582?\nAnswer: -719675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 + f + 1. Suppose -2*s = -3*s - 10. Calculate the lowest common multiple of 4\/s - 611\/(-65) and r(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7\/2? (a) 3\/19 (b) -9\/8 (c) -325 (d) 1\/6 (e) -3 (f) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + 23 - (3 + 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 8 = 6*b. Let p = 0 + b. Is (74\/(-6))\/(p\/6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 5*b**2 - 4*b - 4. Suppose o - 4 = 2. Let k be a(o). Let s = 7 - 3. What is the highest common divisor of s and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 0*x. Suppose 4 = -0*l + 2*l. Let f be 2*(-1)\/(-2) + 1. Solve -l*g = -x*g + f for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.07 - 4.93. Let x = 1.44 + p. Let v = x + 0.06. Round v to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -z**2 + 531*z + 1066 = 0?\nAnswer: -2, 533","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l\/(l*l*(l**(-4)\/l)\/l)*l)\/l*l)\/l**(2\/3)*l**3\/(l**(-11)\/l) assuming l is positive.\nAnswer: l**(64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -97614 by -1914.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (312\/2340)\/(((-6)\/(-9))\/(-2)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a litre in millilitres?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xnnnmtttntdndnmtt. What is prob of sequence dn?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -10 - -10 - (-5)\/1. Suppose -n*k + 530 = 75. Is 27 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -4\/9 (b) 0.037 (c) 0 (d) 2 (e) 6 (f) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 337.51 * -0.07\nAnswer: -23.6257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 128 and 2048?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -184 - -220. Solve f = 4*a + 8*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -75 - -51. Let i = 38 + k. Does 4 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -p**4\/4 - 4*p**3\/3 + 3*p**2\/2 - 7*p - 1. Let o be z(-5). Let l be (-3)\/(o*(-2)\/(-4)). Which is greater: -4 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 3*k**4\/4 + 240*k**3 - 483*k**2\/2 - 240*k + 963\/4 = 0.\nAnswer: -321, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 18739746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 217 - -0.747\nAnswer: 217.747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 162*m**2 - 66*m. Let s(w) = -76*w. Calculate p(s(b)).\nAnswer: 935712*b**2 + 5016*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 347*r - 351*r + 12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -2\/7 (c) 56\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d - 4*d**2 + 142608*d**3 + 239*d**4 - 142607*d**3 - 1 + 0*d**2 to k + q*d**3 + b*d**4 + n*d + a*d**2 and give b.\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -3*v**2 + 53*v + 95. Give m(19).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 447\/15 - (0 - -1)\/(-5). Solve c*w**4 - 25*w**5 + 5*w**4 + 20 - 55*w**2 + 36*w**3 - 40*w + 29*w**3 = 0 for w.\nAnswer: -1, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 8 = 2*z, 0 = 3*q - 0*z + z + 16 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x + 0*x + 11*x + (198 - 185 - 401)*(x + 1 - 1) to the form n*x + w and give n.\nAnswer: -380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qyayalaaalyyl. Give prob of sequence yayy.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -462*b**3 + 8*b**2 - 5*b - 49. List the prime factors of o(-4).\nAnswer: 3, 11, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*a = 35*a + 22 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1715081 by -1.\nAnswer: -1715081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 127572348?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6448323 is divided by 70?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2010 divided by -6?\nAnswer: -335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2295\/13 equal to -1\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3 + sqrt(4)\/sqrt(2)).\nAnswer: -6 - 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -302*c - 474. Calculate the least common multiple of 13 and w(-2).\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -30556*k + 13*k**2 + 30556*k. Let l(s) = -350*s**2. What is 55*f(o) + 2*l(o)?\nAnswer: 15*o**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 13, 65, 209, 493, 965?\n\"Answer: 8*r**3 - 2*r**2 + 2*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 7. Suppose 4*z + 12 = 7*z. Let m(p) = p**3 + z + 3*p**2 - 2*p**2 + 0*p + 3*p + 4*p**2. What is m(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -139 - -199. What is the first derivative of 80 - 29 - j*m + 144 - 33 wrt m?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1*((-10)\/(-80))\/(4\/32) - -6123.\nAnswer: 2, 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-424)\/14 - -2)\/(20\/(-420)). Find the common denominator of ((-13)\/60 - 1) + 396\/i and 25\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + 16\/(-1) - (0 - (-702)\/(-177))?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34171, -6, 28 in increasing order.\nAnswer: -34171, -6, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.6095 times -0.2\nAnswer: 0.1219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 3 = 5*j, -q + 121 = 2*j + 118 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 12:47 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - 5\/(15\/(-423)). Let b = -102 + t. 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: Put 4.5, -2\/9, -7 in descending order.\nAnswer: 4.5, -2\/9, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/((-6)\/9) - 4\/(-4). Suppose 5*u + 2*g + 6 = 3*u, 0 = d*u + 3*g + 10. What is the third biggest value in -1.1, u, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48433, -193601, -435519, -774187, -1209605, -1741773, -2370691?\nAnswer: -3096359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 809677?\nAnswer: 11, 73607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 7:24 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 53964.3l?\nAnswer: 53964300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*l - 32*l = -443588. What is the thousands digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(4*(-1*sqrt(84) - sqrt(84)) + sqrt(84) + (-4*2*sqrt(84) - sqrt(84) - sqrt(84)) + sqrt(84))\/(sqrt(432) - (sqrt(432)*2 + sqrt(432))))**2.\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -0.5 (c) 1\/122 (d) -1 (e) -1.09 (f) 2\/5 (g) 2\/3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9069384 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a second in microseconds?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 - 7412\/(0 - 4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7623 = -249*m + 260*m. Is 57 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 73586*0.04\nAnswer: 2943.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - 0)\/((-39)\/(-26))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5235896 and 399348.\nAnswer: 47123064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8380052?\nAnswer: 2, 241, 8693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 4125*x - 20610. What is t(5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 3\/68 + 12\/17. Let p(h) = h**2 - 8*h - 9. Let a be p(9). What is the nearest to a in 0.5, o, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 3*i**2 + 4*i + 2. Let z be f(-3). What is the common denominator of 17\/20 and (z\/(-120))\/(6\/(-236))?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*((q\/(q*((q\/(q**14\/q)*q*q)\/q)\/q))\/q)\/q)**(-15)\/((q\/(q\/(q**18*q*q)))\/q**(-22)) assuming q is positive.\nAnswer: q**(-207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ziigizzrzg. Give prob of sequence igi.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -68*r + 66*r - 5*r**2 + 13*r**3 + 3*r**2 to the form s + a*r + w*r**2 + y*r**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 906944*b. Let h(t) = -3*t. Calculate h(q(j)).\nAnswer: -2720832*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 7*s - 5. Let l(o) = 8*o - 6. Let v(d) = 5*l(d) - 6*p(d). Let z be v(-3). What is the highest common divisor of z and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 10) to base 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2120, 3, 34, 4 in increasing order.\nAnswer: -2120, 3, 4, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27191\/122346 - -1\/40782. Suppose 3*n + 2*n - 25 = 0. Put -14, d, 4, n in increasing order.\nAnswer: -14, d, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from skdws. Give prob of picking 1 k and 1 s.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9666122*k*y - 796114*y with respect to k.\nAnswer: 9666122*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -579*i + 2307 + 1072 = -6464 for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*t + 20*t + 23*t - 30*t**2 - 73*t.\nAnswer: -30*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of -i**7\/420 - 13*i**4\/12 - 173*i. Let j(o) be the third derivative of q(o). Let z(p) = -19*p. Calculate z(j(d)).\nAnswer: 114*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-7)*(c\/(c**(2\/3)\/c))\/c*c*c**(-1\/4)\/(c*c**4))**33 assuming c is positive.\nAnswer: c**(-1441\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157159?\nAnswer: 23, 6833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 1012?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1059680 plus 2?\nAnswer: 1059682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x + 0*x = 0. Let p be x - 2\/((-2)\/387). Suppose -10*n + p + 863 = 0. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a day in minutes?\nAnswer: 9504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 138041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -24979, -54 in ascending order.\nAnswer: -24979, -54, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3866403 millennia to centuries.\nAnswer: 3.866403","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*u**2 + 2*u + 0*u - 31*u**2 + 187*u**2 to the form c + g*u + a*u**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cob when three letters picked without replacement from cob.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 208753764?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-135))\/((-165)\/396*(-16)\/(-6))?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -1 (c) 0.3 (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 12:50 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 8:34 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -92. Let d = 85 + g. Let v(k) = -k**2 - 6*k + 3. Let q(t) = -t**2 - 7*t + 3. What is d*v(n) - 6*q(n)?\nAnswer: -n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 4 (b) 2\/5 (c) -135195\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t**2 - 2*t**2 + 3*t**2)*(-400 + 6 + 35)*(-2 + 0 + 1)*(1 - 1 + t) to u*t**2 + d*t + r + m*t**3 and give m.\nAnswer: 718","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvef when four letters picked without replacement from {f: 7, e: 4, v: 2}?\nAnswer: 7\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a hour in seconds?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -3.78?\nAnswer: 3.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -81.277445 rounded to zero dps?\nAnswer: -81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18423 is divided by 969?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-8)\/6)\/(6\/(-9)). Let t(i) = i**2 + i + 2. Suppose 102*s = 1351 + 3443. Calculate the least common multiple of t(y) and s.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -245 - -348. Let l = 103.00079 - d. Round l to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -0.07 (b) 3 (c) 5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/4)\/(348\/(-24) + 14). What is the nearest to 1.2 in i, -1\/3, -5, -2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1179 - -3357. Suppose 5*q - 15493 = -17*s + 13*s, -3*q + 3*s + 9285 = 0. Let a = q - z. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 75*v + 90 + 166 - 31 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.092 times 3?\nAnswer: 0.276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -40*m + 32. Let w(s) = 6*s - 5. Let o(b) = 5*l(b) + 32*w(b). Let d be 1\/(-1) - -1*3. Let t(q) = 2*q - d*q - q. What is -3*o(h) + 21*t(h)?\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2*s + 129 = -245, -3*h - 5*s = -298. Let p = h - 87. What is the first derivative of 4*y**4 + 4 - 31*y**4 + y**p wrt y?\nAnswer: -104*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*r**2 - 3*r + r + 1 - 29*r**3 + 31*r**3 to f*r + b*r**2 + v*r**3 + y and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1edb6 - -53?\nAnswer: -1ed63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 23 and -72 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*p + 4196 = -117*p - 122 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 6:19 PM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -2*y**3\/3 - 242138*y**2\/3 - 17893570*y - 992637258 = 0.\nAnswer: -120847, -111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -75246752 by -63553.\nAnswer: 1184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33671 (base 8) to base 4.\nAnswer: 3132321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 788321 (base 9) to base 15\nAnswer: 94c6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 523 by -26.\nAnswer: -523\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15614 and 215431.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 5*u**2 + 10*u - 11. Let l be j(8). Let h = 302 + l. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 - -51. Let i = k - 10. Calculate the greatest common factor of 42 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 132 = -2*u, -5*z - u + 97 = -54. Is z a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4\/3 - 35*v**3 + 827*v**2 + 14465*v\/3 + 6050.\nAnswer: (v - 55)**2*(v + 2)*(v + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -181 - -269. Suppose -67 = -5*m + k. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (c - 3*c + c)*(2*c - 3*c + 0*c) + (2*c - c + 0*c)*(0 + 2*c + 0) in the form u*c**2 + q + a*c and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235 is divided by 11 + -2 + 2 - -39.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2678)\/1170 + (-87)\/145\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 60*g**2 + 52*g + 34. Let c be i(-24). What is c rounded to the nearest 1000?\nAnswer: 47000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49369 is divided by 153.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1157 - 1152. Which is the nearest to -5\/4? (a) -0.9 (b) 2\/19 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 = -3*a - 3*g, 0 = -4*a + 4*g + 163 + 17. What is the remainder when 120 is divided by a?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bl when two letters picked without replacement from nnbnppbuppl?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -1100.717717 and 0.1.\nAnswer: -1100.617717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3 - 15626783*f**2 - 61049094545663*f - 61049078918881.\nAnswer: -(f + 1)*(f + 7813391)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/51 > -4\/905383?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4960\/(-48)*12\/(-5) + -4. Suppose 0 = -5*i + z + 581. Is 9 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 31*h**3 + 4*h + 38. Let g(q) = -q**3 - q - 1. Let o(w) = -4*g(w) - u(w). What is the first derivative of o(r) wrt r?\nAnswer: -81*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -7*k**2 + 6*k + 7. Let w(c) = 6*c**2 - 5*c - 6. Let i be 8*(-38)\/(-48) + (-3)\/(18\/2). Determine i*w(g) + 5*h(g).\nAnswer: g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.035, 0.4, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66 and 49874.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 144, 143, 142, 141, 140?\n\"Answer: -b + 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/(-42)*72\/(-108).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(4235) - sqrt(4235)) + sqrt(420)\/(-1*sqrt(12)))\/(sqrt(252) + (-6*1*sqrt(252) - sqrt(252))).\nAnswer: -5*sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1852*y**4 - 459304*y**3 + 1857424*y**2 - 1858784*y - 8064 = 0. What is y?\nAnswer: -252, -2\/463, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 190 + -949\/5. Let r be 7\/10 - (66\/5 + -14). What is the nearest to 0.2 in u, r, 7, 2\/11?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -8*l + 10. Which is the closest to 1? (a) -4\/3 (b) 0.3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1798439 - -0.14202.\nAnswer: -1798438.85798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*b + 3*b + 2*b)*(1 - 2*b**2 - 1) + 296*b**3 - 452700 + 452700)*(-2*b - b + 0*b).\nAnswer: -876*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20264?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3782508 by -1891254.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -3203*h**5\/60 - h**4\/24 + 279*h**3 - 2*h**2 + 2527*h. What is the second derivative of o(c) wrt c?\nAnswer: -6406","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k - 7. Let y be g(-9). Suppose -y*i + 13 = 2*n - 173, 5*n + i = 477. Find the common denominator of 85\/2 and -1 - (3 - 964\/n).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -227 from 73806400.22.\nAnswer: 73806627.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*w - 35*w - 24 = -2*o, 2*w - 10 = -2*o. Calculate the highest common factor of 189 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -3f?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7208 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 198 divided by -23740\nAnswer: -99\/11870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161 + 182 = 41*f + 15. Let q(h) = 2*h**2 - 17*h + 13. Give q(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (17*o**2 + 0*o**2 - 10*o**2)*(-3*o - 8 + 8) - 408*o**3 - 384*o**3 - 4 + 2*o + 811*o**3 as h*o + s + q*o**3 + i*o**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.8882964 rounded to zero decimal places?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -9285, -8050, -6815, -5580, -4345, -3110?\n\"Answer: 1235*x - 10520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4*1*(-339)\/6. Let b = u - -169. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2\/7 + 120*v\/7 - 124\/7.\nAnswer: 4*(v - 1)*(v + 31)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 + d**2 + (-d - 1 + 1)*(4*d - 3*d + d) - 3*d**2 + 2*d**2 + 6*d**2 - 4*d + 23*d**2 + 4*d to f + w*d**2 + s*d and give w.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 2028*a**5 + 51896*a**4 + 278476*a**3 + 481568*a**2 + 286512*a + 54720 = 0.\nAnswer: -19, -4, -5\/3, -6\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 7 - 8 + 2 + 2 - 65*i. Suppose 0 = -k + 2*y - 6, 4*k - 4*y + 0*y = -16. Is z(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18229 - -18228.79884. What is t rounded to 3 dps?\nAnswer: -0.201","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 283577.7 meters?\nAnswer: 28357770","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3b641 - 1?\nAnswer: -3b642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 0, i + 2*g - 4 = -g. Suppose i*n + 10254 = 10*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 10:54 PM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 0*p**2 + 2*p + 18 - p**2 - 12 + p. Let v = 0 + 5. Give x(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*24\/54*(-3)\/2. Suppose -y*r - 8 = -b + r, 0 = 3*r + 3. Solve 5 = 5*k - b for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ubd when three letters picked without replacement from gdgummmglummgubm?\nAnswer: 1\/1120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 192 and 12.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 2)*(-1 + p + 1)*(6 - 3 - 2).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z - 1. Let c(i) = 4*i + 3. Let n(h) = -2*c(h) - 5*k(h). Let w(d) = d - 1. Let r = -16 + 22. Give r*w(a) - 4*n(a).\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -78\/671389?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71915?\nAnswer: 5, 19, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(605)*-1 + -1)**2 - (1 + sqrt(605)*-1)**2 - ((sqrt(605) + 0 - sqrt(605))*2 + 0)**2) + 1)*4.\nAnswer: 20 + 880*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.201545l to millilitres.\nAnswer: 5201.545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -130 + 72. Let m = h + 60. Suppose 0 = m*y - 4*f - 8, 3*f = -0*f. Solve y*q - 6 = 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*r - 37*r = 51. Let n(x) be the first derivative of -1\/2*x**2 + 14 - 2*x + 1\/3*x**r. Factor n(s).\nAnswer: (s - 2)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -4 + sqrt(1053) + sqrt(78)\/(sqrt(6) + 4*(sqrt(6) + sqrt(216) + sqrt(6))).\nAnswer: -2 + 298*sqrt(13)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of 70\/3*q**3 + 0*q**4 - 2\/5*q**5 + 2*q - 10*q**2 + 64. Find the second derivative of z(w) wrt w.\nAnswer: -24*w**2 + 140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t\/(t**(2\/15)*t)*t)\/(t\/(t*(((t\/t**(2\/15))\/t)\/t)\/t)))**19)**17 assuming t is positive.\nAnswer: t**(-1292\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 9*h = 355. Let x(j) = -j - 14. Let q be x(-12). Let s(b) = -11*b + 3. What is the remainder when h is divided by s(q)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-2))\/(5\/(-10) + 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -60*t - 195 - 77 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 5*x**2 + 21*x - 4. Determine p(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6 - 26\/4*-2. Let c(y) = 71*y + 10. What is the units digit of c(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) -7 (b) -3\/5 (c) 0.31 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 230 and 1242.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 456, 875, 1318, 1797, 2324?\nAnswer: 2911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (301\/42)\/((-3)\/(-2)) and -2\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1376 less than 1.20152045?\nAnswer: -1374.79847955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 42 = s, -8*s - 4*z - 1099914 = -1099662 for s.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - 38*s + 387. Determine v(20).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 2*f**2 - 1. Let h be k(1). Let p be 0\/(h + -2 + -1). Suppose x = -p*x + 47. What are the prime factors of x?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 911058 by -29.\nAnswer: -911058\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -380075, -760147, -1140219, -1520291?\nAnswer: -1900363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 447311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-93)\/15 + 5)\/(15 - 1440\/50)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 126 and 7740.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -652091 equal to 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -83870 divided by 3\nAnswer: -83870\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-16)\/6)\/((-6)\/9). Let g be 6\/k*2\/1. Suppose 2 = g*q + 14. What is the third smallest value in 0.5, q, -0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3*w - 42. Let q be y(22). Let a = q - 19. Suppose 0*p = 5*p - 25. What is the greatest common factor of p and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fvlvvvumrvv. What is prob of sequence rv?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**2 + 588*f + 1737 = 0. What is f?\nAnswer: -193, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-175)\/(-350)*4*1\/(-274))\/1.\nAnswer: -1\/137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2411 <= 2408?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-10))**(6\/5)\/((d\/d**(-1\/21))\/d)**(-35) assuming d is positive.\nAnswer: d**(-31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.0766, -0.2, -15, 1\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 0*c + 4*c + (2 - 6 + 2)*(-2*c + 2*c - c))*(-3 - 1 + 2)*(-7 - 2 + 3)*(-2 + 2 + 2*c).\nAnswer: 120*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30505 - -20749. List the prime factors of u.\nAnswer: 2, 7, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 824530385?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -7 + 13. Let l be 16\/33 - z*(-2)\/3. What is the closest to 0 in -4, -2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3088435?\nAnswer: 5, 7, 88241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 311 = y + 5*d, 4*y - 4*d - 1992 = -796. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of -i**5\/60 - 7*i**4\/12 + 11*i**3\/2 - 10*i**2. Is 11 a factor of a(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b**4 + b - b + 19*b - 1960*b**2 - 55*b + 2*b**4 + 1963*b**2 + (-2*b + 2*b + 4*b)*(5*b**2 - b**3 - 5*b**2).\nAnswer: -6*b**4 + 3*b**2 - 36*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - i + i)*(1535 + 391 - 40).\nAnswer: 1886*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -648 + 773. Calculate the remainder when 259 is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 - 9. Suppose -3*b = -h*b + 100. Is b a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 885 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 9 = -6*w. Suppose h + v = 0, v + 12 = 2*h - w*v. Suppose -s = 3*k - 177, 5*k - s - h*s - 281 = 0. Is 12 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t - 102 = 7*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) + sqrt(228)*-1)*-4 + sqrt(228))\/(sqrt(24)\/(sqrt(8)\/sqrt(4))) - ((sqrt(1900) - (-4 + sqrt(1900)) - sqrt(1900) - sqrt(1900))**2 + 5)*-4.\nAnswer: -639*sqrt(19) + 30484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m + 30. Let k be v(13). Suppose 3*f - k*z + 28 = 0, f + 2*f = -z - 8. Let c(g) = -g**3 - 5*g**2 - 4*g + 4. Let n be c(f). Are n and 7\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*v = -19227 + 237732. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 + -20. Sort k, -3, 4 in decreasing order.\nAnswer: 4, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*f = -9*f. Suppose -3*o + o + 14 = f. Suppose -2*w = -o*w - 15. Sort -1, -5, 9, w in ascending order.\nAnswer: -5, w, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -28, -982 in increasing order.\nAnswer: -982, -28, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1523, 2665, 3807?\n\"Answer: 1142*f + 381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 22 + 39621589*h - 39621590*h.\nAnswer: -h + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (sqrt(20) + sqrt(180) + sqrt(180) + -4*sqrt(180))\/(sqrt(40)*3))*-5 + -2)**2.\nAnswer: 575*sqrt(2)\/3 + 10147\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 55605207 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 73392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -2*a + 555, 0 = 5*a + g - 5*g - 1345. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3993*n + 6566*n - 228*n + 1393*n.\nAnswer: 11724*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -2, 48, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of 1\/210*a**7 + 0 - 1\/10*a**2 + 1\/10*a**5 - 1\/6*a**4 - 1\/30*a**6 + a + 1\/6*a**3. Factor o(g).\nAnswer: (g - 1)**5\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*c = -24*c - 8784. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d + 878 - 878 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*d**3 - 90*d**3 + 13*d**3.\nAnswer: -62*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 17*h - 27 = -131. What is the smallest value in 0, h, -5\/13, 1\/4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4454, -4453, -4450, -4445?\n\"Answer: r**2 - 2*r - 4453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, -2\/11, -9, 2, 1\/8 in increasing order.\nAnswer: -9, -2\/11, 1\/8, 2\/13, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 558, -4, -2, 1.\nAnswer: -4, -2, 1, 558","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wkz. What is prob of picking 1 z and 1 w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1425155063 divided by -43\nAnswer: 33143141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -23*z**3 + 300*z**2 - 10*z - 219. Determine h(13).\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64587, 128963, 193329, 257679, 322007, 386307, 450573?\nAnswer: 514799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - 4) + 32 + -2 + (3 - -16)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 21374, 21358, 21328, 21284, 21226, 21154?\n\"Answer: -7*n**2 + 5*n + 21376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42892827?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-8)*(-6)\/(-1)*(-2274)\/(-379)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**4 + 26*z**3 - 49*z**2 + 24*z.\nAnswer: -z*(z - 24)*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**3 - 329556*j + 329554*j + 3 + 4 as i*j + a*j**2 + w*j**3 + s and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/27 less than 29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 1768*x**2 - 205*x - 8237. Is l(-44) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t - 5 + 9 = 6*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*f + 179*f + 126*f)*(-2*f**2 - 2*f**3 + 2*f**2).\nAnswer: -568*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2 = 0, -m + 8*x - 3*x = -10. Let h = 5 - 3. Are m and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 688793\/31440 + 2271\/2096. Let a = 67\/40 + h. What is the common denominator of a and -2*(27\/(-8) - -2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -28?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 158203021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 60 + -89 + 114 - 29\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/1322240 and 89\/991680.\nAnswer: 3966720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 591 + -668 + (-11 - -149).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -28 + (87400\/133)\/23. Let 0 - 2\/7*z**3 - g*z**2 + 2\/7*z**5 + 4\/7*z**4 + 0*z = 0. What is z?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10177*y**2 + 10173*y**2 + 10175*y**2 + 10193*y**2 - 4*y**3 - 40718*y**2 + 18*y.\nAnswer: -4*y**3 + 18*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-5 + -1)\/3 + -1 + 67?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12020 and 180?\nAnswer: 108180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8, 99, 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1899 + 16*v**2 - 3791 + 1920 as l*v + p + f*v**2 and give p.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*v + 124*v = 32. Solve -7*y + 2*y - 2*w + 18 = 0, y + v*w = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0\/2)\/(-23 + 20). Solve w = 4*g + 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*q = 292*q - 12765 for q.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -64*w - 21. Let a be f(5). Let g = a + 478. What is the remainder when g is divided by 24?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 + 617. Is 26 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8232 and 17067876?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 10) in base 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 15*j - 13. Let u be o(2). Let g be (-2)\/u + 60\/510. Solve 5*l - 7 - 3 = g for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 246147091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 6:23 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*g + 64981 = -231979 - 192906. What is g rounded to the nearest 100?\nAnswer: -5900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -986 (b) 1\/9 (c) -1 (d) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/8148820 and -51\/40.\nAnswer: 16297640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*o + 19*o + 6*o**2)*(567 - 110 - 237)*(0 + 2 - 1).\nAnswer: 1320*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of 13*y**2\/2 + 1212. Let c(l) = 257*l. Calculate f(c(m)).\nAnswer: 3341*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -14*g - 12. Let s be y(-7). Suppose -3*v - s = -5. Is -27 at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -10*p + 13*p - 32, 2*p = 3*a + 20. Is -1*596\/p*-4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.26 + -0.06. Which is the nearest to 0.1? (a) -3 (b) -1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.03 and -0.17.\nAnswer: -0.1751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y**4\/6 - 349231*y**3\/3 + 40653165827*y**2\/2 + 487854753140*y\/3 + 975720681800\/3 = 0. Calculate y.\nAnswer: -4, 349235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 r when three letters picked without replacement from {r: 2, f: 1, d: 1, a: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 2 = 4*i + 3*w, -4*i = -w - 5. Let q be 1 - 1 - ((-27)\/(-18))\/i. Let f(y) = y**2 + 3*y + 4. Let h be f(-3). Put q, h, -17 in descending order.\nAnswer: h, q, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4198 divided by 950\nAnswer: -2099\/475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 147 + -143. Let t = -334.3 - -335. What is the smallest value in t, -3, f, -3\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -241678917871203 + 241678842671391.9999964. Let g = v - -75199797. Let d = -14 - g. What is d rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + (2 - 26) + -122 + 142?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*q**2 - 1)*(-582*q**3 - 3*q**2 + 536*q**3 + 5*q**2).\nAnswer: -92*q**5 + 4*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 4. Let h(j) be the first derivative of j**4\/4 - j**3 + 3*j**2\/2 - 3*j + 1942. What is h(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 - 3)*(-4 + 3 - 1)*(4*m - 4*m + m + (m + 3*m - m)*(2 - 3 + 3)) in the form d*m + r and give d.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-127 - (-558 + 544 + (18 - 1)))\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -35, -78, -195, -422, -795, -1350, -2123, -3150?\n\"Answer: -6*k**3 - k**2 + 2*k - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*r - 22. Suppose 6 = -3*g, -r*q - g + 10 = -4*q. Calculate the least common multiple of 3 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -3663*m - 7320. Let c(a) = -3669*a - 7332. Let s(x) = 6*c(x) - 5*w(x). What is the derivative of s(t) wrt t?\nAnswer: -3699","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3.9, 0.5, -3\/11, 0.1?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -7\/4, -25.7, -1.72?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Divide 246 by -2.\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 620*(31\/(-4) + 8)?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21*-9.\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m = 7*m - 692. Suppose 2*u = -30 - 42. What is the common denominator of m\/72 + (-27)\/u and -101\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 6:38 PM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13561 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 5*t**2 + 4*t + 10. Let a(p) = -10*p**2 - 7*p - 18. Let c(r) = 3*a(r) + 5*b(r). Let n(h) = 6*h**2 + 2*h + 5. What is -5*c(i) - 4*n(i)?\nAnswer: i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/9*12\/(-168)*(-1)\/(4\/84)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14765 is divided by 214?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(245) + -2 + sqrt(245) + 1)**2*-1.\nAnswer: -2206 + 42*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, l: 1, h: 1, s: 2}. What is prob of picking 1 s and 1 z?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/27*-3*33\/(-99)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 417362668 and -169552?\nAnswer: 417532220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 3:55 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 2 (b) -1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2672*h + 2669*h + 19 = 2*n, -298*n + 4*h + 2380 = 0 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 - 5. Let l = 12 + q. Let u = 16 + l. Solve 0 = -u*z - 7 + 19 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - (-2 - 0)\/2. Suppose 0 = 67*b - 1361 + 1227. Solve -b*j - i = -j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4242*a**2 + 6947*a**2 - 4125*a**2)*(2*a**2 - 5*a**2 + 2*a**2 - 4*a**2 - 2*a**2 + 5*a**2 + (-2*a - a + a)*(0*a - a + 2*a) - a**2 - 5*a**2 + 4*a**2).\nAnswer: 8520*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - 841.\nAnswer: -841.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 11 = -91. List the prime factors of (-9 - 1)*(-221)\/w.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -70 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002691586 rounded to five dps?\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 3*o - 163, -10 = 5*l - 10*l. Let v = 15 + -9. Let m be o\/(-9) + v\/9. Sort -3, 3, m in increasing order.\nAnswer: m, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67761\/7 + 64\/(-56)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 + 1.3. Let w = 1.5 - v. Let y = -0.0326 - 0.0674. Which is the nearest to -2\/3? (a) 0.01 (b) y (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 3\/5*u - 3\/5*u**3 + 3\/5*u**2 + 0 - 3\/5*u**4 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 10*l = 20 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 184 + 83 = q, -5*q + 89 = 2*f. What is the remainder when 3047 is divided by f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-2*(2 - 570\/284)). Let f = y - -102. Let w = -27 + f. Solve 0 = 4*z - 12, -w*k - 4*z = -7*z + 17 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 18 = 3*q, -k - 236 = 4*q - 217 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**2 - v**2 + 4*v**2 - 60*v**3 - v**2.\nAnswer: -60*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*f = 3*f - 20790. Let m = f + 772. What is the remainder when 11 is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -14*g**3 - g**2. Suppose -3 = 2*n + 9. Let m(k) = -k - 5. Let t be m(n). Give q(t).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(896)*-2 - sqrt(896))\/(sqrt(2) - 1*sqrt(288)).\nAnswer: 24*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**3 - 5*y**3 + 4*y**3 + (-2*y + 3*y - 3*y)*(-6*y**2 + 3*y**2 + y**2) + (-3*y**2 + y**2 + y**2)*(-5*y - 13 + 13) - 1 + 1 + 2*y**3.\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**3\/2 + 8858*k**2 + 3034765*k\/2 - 1526241 = 0 for k.\nAnswer: -17543, -174, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 739502221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*m + 3410 + 5870 = -0*m. What is the remainder when m is divided by 45?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -172 + 177. Let o(g) = g**3 - 16*g**2 + 15*g + 1. Let a be o(15). What are the prime factors of (-1937)\/(-65) + a\/q?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 - t - 2. Let z be h(3). Suppose z*y - 5*p = -2*p + 16, -20 = 5*p. Which is the nearest to y? (a) 0.3 (b) -3\/4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 13486714 and 13486714 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13832268?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dc when two letters picked without replacement from {w: 4, c: 8, q: 3, u: 1, d: 3}?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 78369 and 726773.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -n**3 + 2*n**3 - 10*n**4 + 26*n**4 - 3*n**3 + 11*n + 8*n in the form j*n**4 + p*n + h + l*n**2 + m*n**3 and give j.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 12*n - 128. Let q be c(11). Let u = -635 + 4471\/7. Is q >= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 40\/7207 or -1?\nAnswer: 40\/7207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2 = -u, u - 5*l = -0*u - 22. Suppose -u*k = -5*r - 29, 4*r - 9 + 1 = 0. Suppose -v + 16 = k. Solve -2*c = -3*n - 7, -2*c - 10 = -2*n + v*c for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6 - 3)*(-4*n + 5*n + 3*n)*(n**3 + 5*n**3 + 0*n**3) + 2*n**4 + n**2 - n**2.\nAnswer: -22*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - 25. Let i = -9.4 - -2.9. Let k = r - i. Which is the second smallest value? (a) k (b) -1\/5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -73*k - 30. Let y(b) = 5*b - 7. Determine -w(n) + 5*y(n).\nAnswer: 98*n - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l + 11. Let s be r(10). Let y(n) = 5*n**3 + n**2 - 2*n + 1. Calculate y(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*x**2 - 14*x**2 + 1030*x**3 - 6*x**2 - 1032*x**3.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*x - 24*x + 20 = -4*h, -3*h - 5 = x for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -17012.025231 rounded to the nearest ten?\nAnswer: -17010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -7*v - 22 - 0 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p + 1. Let m(t) = 83*t**2 - 83*t + 83. What is -83*j(d) + m(d)?\nAnswer: 83*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)*-5 + (sqrt(3) - sqrt(6)\/sqrt(2))*4 + 3)**2.\nAnswer: -120*sqrt(3) + 1209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1080 + -1075. Solve -3*p + 5*a = 15, 0 = -4*p + 9*p - x*a + 15 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 5*p**2. Let h = 1476 + -496. Suppose -9*x + 3151 + h = 0. Let a(t) = 459*t - 3*t**2 - x*t. What is k(a(q))?\nAnswer: 45*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -6*m + 3. Let d(h) = 1. Let i(j) = 2*j - 8. Let f(s) = -8*d(s) - i(s). Calculate f(k(o)).\nAnswer: 12*o - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-19 + 57\/3)*(-1)\/2. Solve 523*h - 524*h - 4 = q for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -318, -1, 70 in increasing order.\nAnswer: -318, -1, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42587.\nAnswer: 37, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 545 is divided by 301.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of r**2\/2 + 10*r - 2. Let m be u(-8). What is the third derivative of -l**6 + 2*l**2 + m*l**2 + 2*l**6 wrt l?\nAnswer: 120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4 - 570*n**3 + 84025*n**2 - 798000*n + 1960000.\nAnswer: (n - 280)**2*(n - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q + 37. Let z be 5\/(((-9)\/(-3) - 1) + -3). What is the remainder when o(z) is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g - 56. Determine r(27).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -423 = -4*a - 27. What is the greatest common factor of 9 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-100)\/(-175))\/(20\/14)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 348 + -346. Solve 0 = -u - i*f - 3, f - 5 = -4*f for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5660 and 5660?\nAnswer: 5660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 4*u + 4*s - 469, 0 = u + 3*s - 133. Let a = u - 40. Suppose -2*w - w + a = 0. Does 10 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(4)*1)\/sqrt(2) + 5)**2.\nAnswer: -40*sqrt(2) + 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5*k = -12. Suppose -3*n - 3*w + 18 = 0, 0 = -w - 1 - k. Solve -5*m - v = -13, -m + 4*m = v + n for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*q + 10*a = -5*q + 5*a, -5*q + 2*a = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -298*s + 1197 - 2073 = 10169 + 2663 for s.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.012459 to three decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -23488 divided by -10\nAnswer: 11744\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 7 + 17. Suppose 0 = -l*a - m + 922, 9*a - 2*m = 6*a + 686. What are the prime factors of a?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, m: 3, h: 3, k: 6, w: 3}. What is prob of picking 1 w and 1 i?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 1\/2, 4, 2\/9, 83, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.9698, -21, 4.85?\nAnswer: -0.9698","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.452 + -0.462. Let o = r - -0.01. Let w = o - 2.000032. Round w to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(1*1\/(-2)). Suppose -72 = o*u - 10*u. What is the remainder when 71 is divided by u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or 44.1?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -47133900 by 1024650.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/4, 0, -958, 0.378, -17, -4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3 + 2 + 0 - 4*t - 4. Let u(j) = -j. Determine u(r(l)).\nAnswer: 4*l - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pl when two letters picked without replacement from {p: 1, w: 6, l: 3, x: 3}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51*2206\/30 + (-2)\/10?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 8*u**2 + 10*u - 10. Suppose 0 = 51*t - 47*t, -5*m = -3*t - 45. Give l(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of -113*k**4\/4 - 921*k**2\/2 + 1094*k. What is the derivative of p(w) wrt w?\nAnswer: -678*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6065224937 a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 36 = 6*l - 8*l, 4*l - 2*w = 162. What is the remainder when 14395 is divided by l?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05214*-985.\nAnswer: 51.3579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 264409 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -234 + 1081. Suppose 0*y = 4*y + 3*a - d, 0 = 4*y - 4*a - 812. Is 209 less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 139 = 121. Let j be 2 - (y\/21 + (-30)\/(-28)). Which is the closest to -2\/7? (a) 1\/3 (b) -0.4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 57 + -59. Let w be 1 + (q - -3) - -1. Suppose -59 = -4*s - 11. Put w, s, 5 in decreasing order.\nAnswer: s, 5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/24 - 26\/6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4288*a + 4297*a - 2 - 8585*a - 1 + 3 + 15*a**3.\nAnswer: 15*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/37 (b) 2\/39 (c) 5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 45, 5 in descending order.\nAnswer: 45, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 2*j - 3*j)*(8*j - 3*j**2 - 8*j).\nAnswer: 9*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/11, 4, 3\/338?\nAnswer: 3\/338","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1514, -1513, -1520, -1541, -1582, -1649?\nAnswer: -1748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -2, 2, 18, 52?\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 156? (a) -8 (b) -5 (c) 2\/3 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of -c**4\/18 + 2*c**3\/9 + c**2 + 11*c. Solve o(y) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1331 - 3284 = -63*z for z.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**5 - 4*a**4 - 6*a**3 + 4*a**2 + a.\nAnswer: a*(a - 1)**2*(a + 1)*(5*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36)\/sqrt(2)*-1)\/(sqrt(90)\/(sqrt(20)\/sqrt(2))) + -4)*-3.\nAnswer: 3*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3\/4 - 2. Let z = 0.39 + -0.26. Let c = 2.13 - z. Sort -0.3, c, x.\nAnswer: x, -0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -0.2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 4:48 PM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1030995?\nAnswer: 3, 5, 7, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of f**6\/90 + f**5\/30 - f**3\/9 - f**2\/6 - 2*f + 2. Let b(r) be the first derivative of d(r). Find a such that b(a) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 10:07 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7012, 7013, 7014?\nAnswer: 7015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139 is divided by 71?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k**2 - 572610*k = 0. Calculate k.\nAnswer: 0, 114522","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -982*s + 927*s = -2475. What is the remainder when 237 is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/9 - (-6)\/27. Suppose c = l - 4*l + 39. Let r(k) = 4*k**3 - 2*k**2 + 2*k - 1. Let s be r(1). Solve 0*p - 2*q - l = s*p, 2*q = 5*p + 27 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40 - -40.5. Let i = 3 - -1. Let r = 3.3 - i. Sort g, 2\/3, r, 4\/5 in descending order.\nAnswer: 4\/5, 2\/3, g, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 20 - 3348?\nAnswer: -3328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 274 and 113847?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*j + 2*b = 53*j + 10, -2*j + 4*b = -4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -1. Let z(q) = -3*q**3 - 2*q**2 - q + 3. Determine 3*d(f) + z(f).\nAnswer: -3*f**3 - 2*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27114038 and 2009.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -3. Let k = j - -2.8. Let l = k - -0.2. Is l <= 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1112 (base 7) to base 9.\nAnswer: -485","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + ((-2*sqrt(640))\/(-2*sqrt(392)))**2).\nAnswer: -178\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*o + 62*o + 123*o - 88*o + 55*o.\nAnswer: 239*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 10 = -2. Suppose 5*s = -4*i + 41, 0 = x*i + 4*s - 3 - 33. Find the third derivative of v**2 - v**i + 2*v**5 + v**4 wrt v.\nAnswer: 120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 230066 is divided by 105?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((70\/(-7))\/20)\/(1\/1).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(-144)*3*(-4)\/1. Which is the fourth smallest value? (a) l (b) -0.5 (c) 0.04 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -84 + 197. Is i a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -593363 - 15.\nAnswer: -593378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*r + 45*r = -5*j + 10, 8*j - 7*r + 0*r + 70 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: 4*-1.45\nAnswer: -5.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -1.6. Let y = l + -4.6. Which is greater: -2 or y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 3 = -4*z, 4*z = -565*t + 570*t - 5 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 2:05 AM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/3 + 40676*m\/3 + 27116.\nAnswer: (m + 2)*(m + 40674)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + -62)\/9 + 12. Let j(r) be the first derivative of -1\/25*r**f + 0*r - 6 + 1\/5*r**3 + 0*r**4 - 1\/5*r**2. Factor j(k).\nAnswer: -k*(k - 1)**2*(k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*a**3 - 250 + 85 + 77 + 88.\nAnswer: 19*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24*8\/(-60))\/((-4)\/10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1432.924 to the nearest integer.\nAnswer: -1433","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4806 - 4800. Which is the nearest to -0.2? (a) x (b) 2\/27 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 387 = 30*u + r, 136 - 191 = -4*u + r for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of -k**4\/24 - 18*k**2. Suppose 4*g + 1 = -2*r + r, 4*r = 2*g + 14. Let v(l) = 2*l**2 + 4*l + 2. Calculate g*v(j) - 6*s(j).\nAnswer: -2*j**2 + 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*i**2\/2 - 57*i\/4 - 441\/4.\nAnswer: 3*(i + 3)*(10*i - 49)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/9 and -32\/1533.\nAnswer: 4599","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.416*-287813\nAnswer: -119730.208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m**28*m)*m)*m**(2\/43)\/m)**(-2) assuming m is positive.\nAnswer: m**(-2326\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -3, -49, -0.14?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 80159, 160136, 239931, 319544, 398975, 478224, 557291?\n\"Answer: -91*y**2 + 80250*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6966.497 micrograms in tonnes?\nAnswer: 0.000000006966497","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 8:35 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 13*f**3 - 7*f**2 + 4*f - f - 1 + 3*f**2 + 3*f**2. Let j be u(1). Let b be 297*(16\/4 - j). Round b to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003211 to six dps.\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-27)\/45)\/(2\/(-30)). Let p(n) = -157*n**2 - 22*n + 15. Let d be p(x). What is d rounded to the nearest 1000?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1518435 divided by -41.\nAnswer: -37035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5169347 a multiple of 286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 85600.8ug?\nAnswer: 0.0000000856008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200 is divided by 21?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - (-6)\/12)*-2. Let x(l) = l**3 + 2*l**2 + l**2 - 2*l - 5 + 1. Determine x(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2566 to the nearest 100.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*v**5 - 3*v**3 - 3*v - 56 wrt v.\nAnswer: 340*v**3 - 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3718.008 millilitres to litres.\nAnswer: 3.718008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37595503 is divided by 2746?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and -10455.\nAnswer: -10452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 163 - 2?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184600?\nAnswer: 2, 5, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15704 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8\/25 of a day?\nAnswer: 27648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (28\/(-21))\/((-28)\/18207) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of 0*v - 17\/70*v**7 + 0 + 37\/40*v**6 - 39\/20*v**5 - v**2 + 3\/112*v**8 + 5\/2*v**4 - 2*v**3. Determine s so that c(s) = 0.\nAnswer: 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 2*c**3 - 2 + 7 + 2 in the form i + b*c**3 + d*c**2 + m*c and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of -23*i**4\/12 - 16*i. Let y(m) be the third derivative of -m**5\/20 + 2*m**2 + 6. Give l(y(z)).\nAnswer: -207*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4042, -1, -0.1.\nAnswer: -1, -0.1, 0.4042","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**2 - 123*m - 558. Determine h(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -5932\nAnswer: 1779.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -10259 at most as big as 0.041?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millisecond in microseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/29 or -29.95?\nAnswer: -29.95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -21010011000 (base 3) in base 14?\nAnswer: -39096","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 1\/5 (c) 3 (d) 0.04 (e) -13\/218\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 156 + -621\/4. Let y = -76 - -75. Which is the closest to y? (a) d (b) -0.2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 4, 5\/19, 0, -5 in decreasing order.\nAnswer: 4, 5\/19, 0.2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (301\/35 - 4\/(-10))*12\/96. Let u be (1 - 11\/(-8)) + 1. Factor g*a**2 + 1\/8*a**3 + u*a + 27\/8.\nAnswer: (a + 3)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 243096047 a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 189160470?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 769 is divided by 43?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.349*-40692\nAnswer: 14201.508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**2 - 27*z + 54 = 0. What is z?\nAnswer: 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + 3*k - 3. Let i be g(2). Let f = -6.7 - -6.7. Which is the closest to i? (a) f (b) 0.5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 - 2*f - 1 + 0*f**3 + 0*f - f**3. Suppose -b = -6*b - 20. Is l(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-6) - 11\/33. Suppose -b = j - 49, -5*b - 2*j + 105 + 128 = v. Is b a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 0*d - 5 = 0. Let s = d + 4. Let z = 9 + -7. Solve -z*t = s*t - 10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.1989 + -10.8161. What is y rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/1723 (b) -3\/284 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37 by 19846971.\nAnswer: 37\/19846971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/34563 and 19\/1230.\nAnswer: 345630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-3)*27*-19*(-6)\/342.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 336 and 2136.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 518 a factor of 45933650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - 4*g + 2*g)*(g**4 + 4*g**3 + g**4 - 2*g**3).\nAnswer: -6*g**5 - 6*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3*a = -23, -12 = s - a - a. Let u be (-1208)\/(-3)*(-3)\/s. Factor c**2 + c**2 - u*c + 614*c.\nAnswer: 2*c*(c + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/13 (b) -1\/3 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -5862922 and -6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 5.\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m - 8. Let w be q(15). Suppose w*c - 405 = -83. What is the remainder when c is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 15) in base 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 3909 - 3883 = -n, -22*d + 31 - 2 + 9 = 2*n - 38 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 205\/45 + 20\/45. Suppose 2*o - h*s - 204 = -26, -3*o + 267 = s. Is o a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18238 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -160, 0, -57, 3, 27 in ascending order.\nAnswer: -160, -57, -5, 0, 3, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 80634708 and -1.23.\nAnswer: 80634706.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 17*f**2 + 12*f - 6. Let a(p) = -15*p**2 - 11*p + 6. Let d(q) = 6*a(q) + 5*c(q). Let h(r) = -4*r**2 - 5*r + 5. Give -5*d(n) + 6*h(n).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 66 and 47586.\nAnswer: 47586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56\/2688*32 - (-1)\/((-6)\/(-2500)*2) is divided by 1\/(-3) - 350\/(-6).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 282423439 a multiple of 870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 2:09 PM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 5:02 PM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 8:57 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/9*((-482)\/(-10) - 20).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12356 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*b - 23*b = -5*z - 16, 5*z + 3*b + 1 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 31.2705347 to 0 decimal places.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2335, 0.2, 4 in descending order.\nAnswer: 2335, 4, 1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -4. Let y = 17 + -30. Let p = y - -9. Put 0.5, g, p in descending order.\nAnswer: 0.5, g, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-24)\/14)\/(-2)*7. Suppose o = j + 1. Suppose j*f = -8 + 48. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -52 + 80.8. Let g = -29 + q. Put g, -2\/9, 1 in ascending order.\nAnswer: -2\/9, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 1\/5*l**4 + 0 + 14\/5*l**3 + 13\/5*l**2 + 0*l = 0.\nAnswer: -13, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/12, -0.08, -0.2, 14?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 7*d + 28. Let p(v) = -v. Give -g(a) - 5*p(a).\nAnswer: -2*a - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 207.883 rounded to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(300)*-3 + sqrt(300) + sqrt(300) + sqrt(300) - sqrt(147)*4*5) + 4)**2.\nAnswer: 58800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*w**2 - 112*w**2 - 3*w**2.\nAnswer: -123*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a kilometer in meters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.8 + 0.83. Let g = -0.3 + 0.6. Which is greater: g or w?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1083*h - 3082*h - 106899*h**5 + 105049*h**5 wrt h.\nAnswer: -37000*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 6 + 4 + 23 - 5 + 6*f. Is 10 a factor of m(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 26\/5 of a kilometer?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -4*m + 43, -4*m + 3*m = -4*k + 26. Suppose -29 = -r - k. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-1419)\/110 - -13)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(128) + 0)**2.\nAnswer: 80*sqrt(2) + 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1*(-36)\/15)\/((-3)\/(-10)). What is the units digit of (-2)\/(-4) - (68\/q + 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 38 and 19.\nAnswer: 722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 195 and 285.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/102 and -79\/34.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3963 - 3851 - (0 + 0 + 14) - 2.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 841 + -45. Let y = -802 + t. Sort y, -3, -2, 0.5.\nAnswer: y, -3, -2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(17) + (sqrt(17) - (sqrt(2448) + 1)) + -1 + sqrt(272))**2*-1.\nAnswer: -648 - 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -10) + -3 + (3 - -1) - -8.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kdkd when four letters picked without replacement from ddkddddddk?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/28)\/(((-66000)\/(-525))\/22)?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxfxfxxqxxxqwqx. What is prob of sequence fqf?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -54900000 rounded to the nearest 1000000?\nAnswer: -55000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -42*d**2 + 19*d**2 - 2*d + 12*d**2 + 1590 + 9*d**2 as c + m*d**2 + q*d and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 + 62. List the prime factors of o.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 - 9. Suppose -4*h = c - 29. Let j be (-3)\/10*5*1*-4. Solve -z + j = h for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10.72181 - 3.29127. Let b = z + 55.57211. Let g = -63 + b. Round g to 4 decimal places.\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9457143 by -3.\nAnswer: -3152381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of -19*u**4\/24 + 2*u**3\/3 - 8*u**2 + 27*u. Let o(f) be the first derivative of h(f). Let l(i) = -2*i**2. What is o(l(p))?\nAnswer: 38*p**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0645886403 rounded to four decimal places?\nAnswer: -0.0646","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*p + 535*p + 572*p.\nAnswer: 1032*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 2:21 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-1)\/16)\/(30\/48*(-16)\/1)?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kjqdqws. Give prob of picking 1 s, 1 k, and 1 j.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.90209 rounded to 0 decimal places?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 bigger than 294\/155?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 7:35 AM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -8. Suppose f = -z*f. Solve f + 5 = j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*b + 9*b - 286 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -3*w + 2*l, 2*w - 13*l - 9 = -12*l for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, e: 13}. What is prob of picking 3 n?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 273 and 57708?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101000 + -1000000010010101?\nAnswer: -111111110101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 5*i**2 - 46*i. Let u(y) = -3*y**2 + 23*y. Let j(m) = 3*q(m) + 7*u(m). Find the second derivative of j(r) wrt r.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2.6 (b) -4 (c) 3 (d) -6\/41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 11756185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 433370782?\nAnswer: 2, 13, 16668107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 20 = -0*g + 5*o, -5*g + 2 = -o. Let c = -8 - -14. Solve g = y + c for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1199020 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z*z\/z**4*z\/(z*z**15*z) assuming z is positive.\nAnswer: z**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 13120312011?\nAnswer: 13120312013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 4*l - 25 = -133, 5*c = -l - 123. Let u(r) = r**3 + 25*r**2 + 21*r + 20. What is the units digit of u(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-3*(1 + sqrt(75)))**2*4 + (sqrt(27) + sqrt(135)\/sqrt(45) + sqrt(27) + sqrt(27))\/(sqrt(441) - (-1*sqrt(441) - sqrt(441))).\nAnswer: 22690*sqrt(3)\/63 + 2738","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 5*g - 15, -5*g = 4*i - 6*g - 3. Suppose 34 + 12 = i*b. What is the remainder when 66 is divided by b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -407*v**2 + 3*v - 3. Suppose 3*x + 24 - 15 = 0. Let h be s(x). Is 3\/(-6) - h\/2*1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -494, -495, 114, 1639, 4386, 8661?\nAnswer: 14770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 6*k**2 + 9*k + 8. Let f be h(-7). Let y be 4\/f*(-49)\/(-7)*-6. Suppose -3*l = -73 + y. Solve x = t, 0*t + t + l = -2*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72, -239, -482, -783, -1124?\nAnswer: -1487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1323597?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five sixths of a minute?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -254465307*v**2 + 2*v + 2*v + 0*v - 4*v + 254465159*v**2.\nAnswer: -148*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/38 + 79\/114. Suppose -3*p + 4*y = -17, 2*p + 4*y + 0 = -2. Let w be 3 + p\/((-30)\/34). Which is the closest to w? (a) v (b) -1 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1440 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-3 + (sqrt(1008) - 5*-2*sqrt(1008)) + 1 + sqrt(1008) + 1 + 1)*1)**2*6.\nAnswer: -6912*sqrt(7) + 871008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**4 - 6*w**4 + w**4 + (2*w - 2*w + w)*(3*w**2 - 3*w**2 + w**3) - 13*w**3 + 13*w**3 - 8*w**4 in the form g*w**3 + d + m*w**2 + z*w + f*w**4 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 90\/13?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 100\/6*648\/48. Let n = z + -106. List the prime factors of n.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1a183 (base 11) to base 6\nAnswer: 334215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 18892?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -61648, -123274, -184900?\n\"Answer: -61626*y - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -43*v**2 - 2*v + 1. Let f be 2\/5 + (-154)\/35. Let s be r(f). Let j = 958 + s. Is j a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112327*z**2 + 56209*z**2 + 56207*z**2.\nAnswer: 89*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1262 - -1267. Solve 1 = 2*w + 3*g, c*w - 3*g = -33 + 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 10, t = -0*t + 3*h - 81. Let u = 67 + t. Sort -40, -5, u in descending order.\nAnswer: u, -5, -40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (8 - (9 - -1))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 968644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*q**5 - 6\/5*q**2 - 2\/5*q**4 + 0*q + 2*q**3 + 0.\nAnswer: -2*q**2*(q - 1)**2*(q + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 2*u - 104 - 2, 2*w - 79 = -3*u. Calculate the greatest common divisor of 288 and w.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -253, -935, -2065, -3637, -5645, -8083?\n\"Answer: w**3 - 230*w**2 + w - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*t + 8 = -18*t. Suppose -71 = -5*m - o, m - t*o - 2*o - 31 = 0. What is the remainder when 41 is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -31 in 33, -0.2, 131.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (585\/2730)\/(1 + (-3)\/12).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, -0.2, -1, -27\/71 in increasing order.\nAnswer: -1, -27\/71, -0.2, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -2*z - 6, 6 = -5*z + 11. Let i(r) = -1 + r - 5 - 5*r + f + 11. Calculate i(-7).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + 13*d + 136. List the prime factors of o(50).\nAnswer: 2, 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j**2 + j**3 - 3*j**3 - 2 - 64647*j**4 + 64803*j**4 in the form s*j**2 + g*j**4 + o*j + f*j**3 + q and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/135)\/(3\/(-27))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4249, 4076, 3603, 2680, 1157?\nAnswer: -1116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l + 2*l - 190747971*l**3 + 190747968*l**3.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-6*(-2)\/(-9))\/(-8*(-11)\/(-198))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(7) + 3)**2 - (4 + sqrt(343)).\nAnswer: sqrt(7) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -7*q**2 + 248*q + 137. Let v be s(36). Which is smaller: v or 585?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/60 - 22\/10)\/(-1). Let d(f) = -13*f - 1. Let y be d(-2). Solve -m + r*o = -14, -5*m + 3*o + 10 = -y for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 5 = 5*r, 4*b - 8*r - 52 = -9*r. Calculate the remainder when 495 is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 - 6*b + 9. Let c be q(-4). Suppose 1 - c = -4*r. Let t(s) = -s**3 - 4. Let k(w) = -w**3 - 3. Calculate r*k(z) - 3*t(z).\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j + 2*t, 9 = 22*j - 19*j - 3*t for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 176.8635.\nAnswer: 35.3727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.6 + -0.4. Let n = j - -6.5. What is the third biggest value in n, 0.4, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (588\/(-70))\/(1\/(-5)).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5 - 2)\/(1\/2). Let v be ((-18)\/(-4))\/(3\/w). Suppose -2*d - 46 = 2*n - 6*n, 0 = -n + 3*d + v. What is the highest common divisor of n and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/(-45))\/(3 - 235\/75). Let x be -4*3\/(24\/(-290)). Suppose x + 1125 = s*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 311*w + 182*w**4 - 98*w**3 - 390*w**4 + 192*w**4 - 309*w + 2*w**2 to o*w**4 + x*w**3 + s*w + c*w**2 + i and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.07 + 7. Let c = p + 0.0775. Round c to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23083262.\nAnswer: 2, 11541631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 2*b - 142. What is v(11)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 685162392.\nAnswer: 2, 3, 113, 252641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 360.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-4)*k\/k**(-4))\/(k\/k**2*k*k)**1 assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2886 = -4*z - b, 11*z - 9*z - 4*b = 1452. Suppose 2*a - z - 112 = 0. What are the prime factors of a?\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/3 (b) 1\/2 (c) -3\/31 (d) -17 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 + 7*v + 18. Let b be u(-8). Suppose b + 25 = -t. Let h be (-31)\/(-6) + (t\/18)\/17. Solve 0 = 4*p - h - 15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 72 = 8*a. Let v be ((-4)\/(-6))\/(4\/a). Suppose -v*q + 10 - 253 = 0. Round q to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55571936.\nAnswer: 2, 7, 248089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*3\/(-4))\/(18\/12)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3*w + 14. Suppose 0 = 5*v - v - 20. Suppose 4*k = 3*k + v. Calculate d(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36472 is divided by 64?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {b: 1, c: 4, x: 1, i: 1}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 318420\/31755 - (60\/8)\/(3\/4 + 0).\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/((-32)\/(-20))*1\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c + 116 = -74. Let u(s) = c*s + 6 - 13*s - 4*s - 2*s**3. Let o(v) = 2*v**3 - 3*v - 7. Give -3*o(z) - 4*u(z).\nAnswer: 2*z**3 + z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -241? (a) 0.5 (b) 0.29 (c) -1\/3 (d) 13\/5 (e) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 343 - 327. Solve 4*t + 2*h = -d, t - 6*t = 5*h + 20 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 224, 210, 196, 182, 168, 154?\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 5*x - 5. Let a be t(4). Let p be a - (0 + 2 + -7). Let g = 74 - 74. Solve 4*y + 5*i + 28 = g, -5*i - 18 = y + p for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 7:00 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 2 + 201*c - 94*c in the form w*c + k and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6252336?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5826243 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 1 + (16 - (24 - 8)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/29 and 53\/11.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -43, 307, 3, -11, 4 in decreasing order.\nAnswer: 307, 4, 3, 2, -2, -11, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/1161 (b) -0.8 (c) 0 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1491 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 5:35 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 20077751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 0*u + 235. Let q be 2\/((10\/85)\/(-1)) + 2. Let f = u - q. Is f a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -671*g + 671*g + 2*g**3 - 3*g**3.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*1 - 4\/2 - -5. Let a(u) = 427*u - 7*u**x - 425*u + 3*u**2. Let v(s) = s. What is v(a(y))?\nAnswer: -4*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*f + 80*f - 5*l = 22, 4*l = 4*f - 24. Factor 92\/5*z**2 + 8*z - 112\/5 + 4\/5*z**f + 2\/5*z**5 - 58\/5*z**3.\nAnswer: 2*(z - 2)**3*(z + 1)*(z + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s + 8. Let q(l) = 4*l - 34. Let n(b) = 9*h(b) + 2*q(b). What is n(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(-16) + (1 - -1). Solve -3*d - 24 = -3*y, 0*y + z*y - 4*d - 24 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-16)*14*80\/770.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -844*y - 1 + 2569*y - 907*y - 806*y.\nAnswer: 12*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 291 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**2\/3 + 8236*f\/3 + 5488 = 0. Calculate f.\nAnswer: -4116, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 11:19 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*r**3 + 1)*(41*r - 6*r + 63*r) + 5 - 5 - r**4.\nAnswer: -197*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 294, -68, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/12)\/(14\/105*5)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201 + 111200202?\nAnswer: 111201110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 11:00 PM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.9 + -2.771. Let u = -1.349 + v. Let h = 1.36 + u. What is the second biggest value in -0.3, h, -2\/11, -1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252133991 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 - (-1 - 2\/(-1)) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -541*c + 8. Let o be z(10). Let l = 11002 + o. What is l rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 310046620 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 149030.2 litres?\nAnswer: 149030200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42 - -29. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1943140 to the power of 1\/3, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 48269050 to the nearest one hundred thousand.\nAnswer: 48300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*l - 56*l + 3321 = 0. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from yyyyyryyryyyyr.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6250, 24930, 56058, 99634, 155658, 224130, 305050?\n\"Answer: 6224*t**2 + 8*t + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2. Let y = 2907 + -2903. Let q(b) = -3*b - 4. Suppose 7*c - 2 - 12 = 0. Suppose c*x - 4 = 4*x. Give x*q(l) + y*i(l).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2*l**4 - 2)*(-1 - 1 + 5 + (0 - 5 + 3)*(1 + 2 - 5)) - 2 + l**4 + 2 to the form m*l + q*l**4 + t*l**3 + d + n*l**2 and give q.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10 + (-319)\/33)*99. Calculate the greatest common factor of 121 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -567987 divided by -301\nAnswer: 1887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4*11\/4 + 1 + 2\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6927868, 6927715, 6927460, 6927103?\nAnswer: 6926644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 10, 13?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -37*x - 1. Let a be w(-1). Let s be (1233\/a)\/(2\/8). Suppose s = 4*l - 211. Does 30 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 3*r + 42, 32 = 3*k + 4*r - 15. Suppose -k = -2*o + o. Suppose 21*b = 26*b - 10. Solve 3*f = b*f + 5*q - 15, f - o = -q for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 562.9, 4, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4)\/(-5))\/(-1))\/((-246176)\/26376)?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**5 - p**4 - 12*p**3 - 4*p**2 + 16*p = 0 for p.\nAnswer: -2, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -13057218\nAnswer: -13057212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1531 is divided by 48?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 4*p**3 - 1. Let t be q(1). Suppose t*n + 9 = 5*s, n - 22 = -4*s - 4*n. Suppose -a + 10 + 8 = 0. Solve 5*o - 5 = -s*x - a, 5*x + 5*o = -15 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 171212 and 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - x - 1. Suppose -20*u + 21*u + 2 = 0. Let f be (u*1)\/(-5 - 138\/(-30)). Let m(r) = -r**2 + 2*r + 2. Determine f*m(d) + 10*y(d).\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 193048622 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 141\/8 or 1\/3?\nAnswer: 141\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d**2 + 11*d - 8*d - 3*d.\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -m**3\/3 + 3*m**2 + 5*m + 3. Let o be z(7). What is the common denominator of -12 and o*1\/(-20)*-47?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1134 + -544. Suppose 0 = 5*l - 4437 - 8. Let d = l - s. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 0*i**3 + 6*i - 8*i + 0*i**3 + i**3 + 2 + 6*i**2. Suppose 40 = -3*r - r + 4*g, -4*r = 3*g + 12. Calculate l(r).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 50, 71 in increasing order.\nAnswer: -5, 4, 50, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13891?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175*a = 170*a + 4*l + 38, 5*l = -a - 4. Calculate the lowest common multiple of a and 526.\nAnswer: 1578","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**3 - 7*p**3 + 12503041*p**2 - 12503041*p**2.\nAnswer: -10*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 80 - 20. Let w = 47 - 17. Suppose u + 0*t + 5*t = w, 0 = 3*u - t - 10. Calculate the highest common factor of h and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1692643 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8.4 - -8. Let k = 715.932 + -711. Let m = -0.068 - k. What is the fourth biggest value in m, -0.3, u, 1\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3764*c - 11298*c + 3762*c + 3766*c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -741.7570082 to 1 dp.\nAnswer: -741.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-28*114\/(-532))\/((-3848)\/(-26))\nAnswer: 3\/74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*w**3 + 2*w + 3507 - 3801 - 2*w wrt w.\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 1 - 2)*(0*d - 3*d + 0*d) in the form k*d + t and give k.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 11, -60, -203, -418, -705?\n\"Answer: -36*s**2 + 37*s + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3940*l - 26783 = -24321 + 119678 for l.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 4 = o + 2, -2*o + 28 = -2*z. Suppose -18*j = -23*j - 5. What are the prime factors of (9\/o)\/(j\/(-23))?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2571*i**2 + 4*i - 4*i + 10537*i**2 - 75*i**2. Let n(x) = x. Give n(k(c)).\nAnswer: 13033*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 + 3. What are the prime factors of 495\/10 + k\/8?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9088423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 5 - 4*c + 4 - 12 to n*c + f and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -164*z + 166*z - 8. Solve 4*k - z - 8 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(-3 + 6) + 189. Suppose 10*b - m = 12*b. Let y = -1 - b. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 4*y**2 + 4*y + 3. Let h be g(5). Let n be h\/9 - 18640\/(-126). Let p = n + -148. Which is the second biggest value? (a) 1 (b) -5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from occaoooccococcc.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -m + k + k, m = -2*k - 16. Let j be (m\/9)\/(6\/(-9)). Factor -1\/4*b**4 + 0 - 1\/4*b + 1\/4*b**j + 1\/4*b**3.\nAnswer: -b*(b - 1)**2*(b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 67 (c) -2 (d) -11 (e) -0.21 (f) -78\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of l**7\/210 + 37*l**6\/120 + 17*l**5\/60 - 3*l**3\/2 + 118*l**2. Find the third derivative of m(t) wrt t.\nAnswer: 24*t + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10 - 3*u**2 - 5 + 44*u**3 + 11*u**3 - 6 - 195*u - 33*u wrt u.\nAnswer: 330*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 3*o + 34, 3*o - 16 = -0*z - 5*z. Find the first derivative of 75*g - 3*g**2 + 10 - 144*g + 69*g + z*g**2 - 41*g**3 wrt g.\nAnswer: -123*g**2 + 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132130 (base 4) to base 3.\nAnswer: 2200011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 59*s + 88 - 175 + 86 to d*s + p and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -4 (b) -0.1 (c) 1\/2 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 638 + -1490. Let d = v - 1086. Find the common denominator of -55\/8 and d\/(-540) + 6\/(-27).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooogaaoadadoooay. Give prob of picking 2 o.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 14*l - 3. Let g(t) = -3*t. Calculate 3*g(j) + k(j).\nAnswer: 5*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23457?\nAnswer: 3, 7, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2. Let x(b) be the second derivative of 11*b + 0*b**2 + 2\/3*b**3 + 0. Calculate x(m(q)).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 o when two letters picked without replacement from ojjjzozoozoj?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1358.9 + -1358.88639. What is k rounded to 3 dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30386 + r - 30386.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3540786 is divided by 2483.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 4*d**2 - 46*d + 8. Let x(a) = -16*a. Determine o(x(i)).\nAnswer: 1024*i**2 + 736*i + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 448872 and 37406?\nAnswer: 448872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6456255 + 13956258. Suppose 4*m = -b + 2*m + 7499998, b - z = 3*m. Round b to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 - 7*u - 3. What is l(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 21 = -3*s, -4*s = s. Let h(r) be the first derivative of r**2 + 29*r + 10. Calculate the lowest common multiple of u and h(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 70 = -r. Calculate the highest common divisor of 14 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/(-1) - -3) + 2. Suppose 16 = 3*n + n. Let m = n + f. Solve 0 = -p + a - 9, a = 4*p + 4*a + m for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23638 rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-2))\/(-3) + 42\/12.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 2*c + 9 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-104)\/(-10) + 14\/(-35). Let o be (-25)\/(-9) - h\/(-45). Suppose -o*m = -2*w + 536, 5*w + 0*m = -3*m + 1319. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/h**(5\/4)*h**(-1\/19) assuming h is positive.\nAnswer: h**(-23\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**5 + 4*l**5 - 2*l**5 + (l - l - 2*l**4)*(3 - 3 + 2*l) - 3*l**5 + 5*l**5 + 15*l**5.\nAnswer: 12*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -4*k - 31, 2*i + 74*k = 75*k + 16. What is g in 6\/17 - 4\/17*g**2 - 2\/17*g**4 + 2\/17*g**5 + 10\/17*g - 12\/17*g**i = 0?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (16*(-2)\/(-3))\/(2\/(-361875)). Round l to the nearest 100000.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**2*y)\/y)\/(y*y**(-3\/8)))**(-5)\/((y*y**1\/y)**(-1\/4))**(-23) assuming y is positive.\nAnswer: y**(-101\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 478449 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -132637693, -132637686, -132637677, -132637666, -132637653, -132637638?\n\"Answer: v**2 + 4*v - 132637698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((-12)\/9*-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14829, -12715, -10603, -8493, -6385, -4279, -2175?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -462 + 464. Let r = -57 - -57. Suppose 7*i - 6 - 15 = r. What is the greatest common divisor of g and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 110 = 12*v. Suppose -26 - 24 = -v*n. What is the third derivative of 183 + 37*m**2 - 183 - 2*m - 33*m**n wrt m?\nAnswer: -1980*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 equal to 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-9)\/(-15))\/(18\/(-12)). Which is the third biggest value? (a) -4 (b) 3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 186*u**5\/11 + 8500*u**4\/11 + 43352*u**3\/11 - 216444*u**2\/11 - 463698*u\/11 + 176904\/11 = 0.\nAnswer: -39, -9, -63\/31, 1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 89 - 620\/7. Let s = -0.1 - -1.1. What is the nearest to s in -4, r, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 5:22 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/5 + -1 - 16\/(-16)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 15) to base 3.\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204116?\nAnswer: 2, 11, 4639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence slsm when four letters picked without replacement from slmlsmms?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {c: 2, j: 1, e: 14}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 15708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13083674?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-32 - 14 + 4 - 12)*(5 + 0 - 3)*(792*k + 841*k - 1373*k) to the form l*k + v and give l.\nAnswer: -28080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (37 - 1) + (67 - 79)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 10. Let v(f) = -f**2 - 25*f + 29. Let q be v(-26). Is o at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -14*d**3 - d**2 + 1. Let o be z(-1). Suppose -3*s + 1 = -o. Sort -4, 2, s in decreasing order.\nAnswer: s, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 29, 48, 87, 152, 249, 384?\n\"Answer: u**3 + 4*u**2 + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4}. What is prob of picking 4 p?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -7*o**3 - 3*o**2 + 3*o + 3. Let h(r) = r**2 + 2 + 2*r + 2*r**2 - 7*r**3 - 8*r**2 + 3*r**2. Determine 3*h(g) - 2*u(g).\nAnswer: -7*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 7*m**3 + 10*m**2 - 63*m + 7. Is v(17) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32.1 + -32. Let t = 0.406 - -4.594. Suppose f - 12 = -2*f. What is the second smallest value in 2, t, v, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10.2 - -10. What is the nearest to g in -2, 0.4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1097 + 1098. Solve -23 = 4*t - 3*m, 2*m = -5*t - 24 + l for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27909, 27950, 27991, 28032?\nAnswer: 28073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 8*l**2 - 5*l + 2. Calculate p(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 4:00 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -39, -3 in increasing order.\nAnswer: -39, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 15 + 24. Suppose -2*z + 1 - y = 0. Let a(s) = -s**3 - 2*s**2 + 2*s - 5. Is a(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7157 and 80411.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5546913109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5011 (base 9) in base 14?\nAnswer: -1491","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1502977 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/j**(-28)*j**(-2\/147)*j**37*j*j**17 assuming j is positive.\nAnswer: j**(12346\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5308997?\nAnswer: 59, 89983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 267876 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1010 or -1003?\nAnswer: -1010","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 m when two letters picked without replacement from {o: 1, m: 1, c: 1, s: 1, i: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1639358404?\nAnswer: 2, 12377, 33113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053) - (sqrt(1053)*-4)**2)*2 + -1 + ((sqrt(1053) - ((sqrt(1053) + -1)*6 + sqrt(1053))) + sqrt(1053))*3)*4 + 5.\nAnswer: -134711 - 468*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 402505365 to the power of 1\/3, to the nearest integer?\nAnswer: 738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**5 + 1307*l**4 + 29111*l**3 + 168717*l**2 + 87930*l - 287064 = 0. What is l?\nAnswer: -12, -9, -2, 1, 1329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2618 and 2926?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(((-3)\/(-1))\/(-15)). Let c(k) = 2 + k + 8 - 3 - k**3. Is c(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 46757.8125 minutes?\nAnswer: 4.638671875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10251 - -566?\nAnswer: 11150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, 2, 2\/9, -2, 11?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**3 - 22*o. Let h(t) = -t**3 + 11*t. What is -7*h(p) - 4*l(p)?\nAnswer: -p**3 + 11*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of b*i**2*n + 5*b*i*l*n - 2*b*l*n - 2*b*n - 3*i**2*l + 9*i**2 - i wrt l.\nAnswer: 5*b*i*n - 2*b*n - 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3 + 13458*u**2 + 15213540*u + 269500824.\nAnswer: 3*(u + 18)*(u + 2234)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1791 divided by 9\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 7) to base 8\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 457\/114909 or -1?\nAnswer: 457\/114909","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nqriwnwiiininxnnw. Give prob of picking 2 i.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25.25 + 24. What is f rounded to one decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2435 > -202195\/83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2*(-4)\/6*-249 and 24?\nAnswer: 1992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -139\/2 (b) 22 (c) 1581\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, 8\/345, 6.7 in decreasing order.\nAnswer: 6.7, 8\/345, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 77515\nAnswer: -310060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -28 - (-471 - -486)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of 13*o**4\/12 - 5*o. Let l(x) = 2*x**2. Give l(c(v)).\nAnswer: 338*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (4\/((-9)\/(-6)*-2))\/(-6)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0272 - -0.9728. What is the smallest value in x, -7, 4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15697956?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from pdwwwwwwwww?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-11)\/(-44) - 283\/(-4). Let m = -50 + w. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253935896506 take away 0.3?\nAnswer: 253935896505.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/4 and 9*-1*(-232)\/(-240)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/3 and -39 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -224\/3 + 74. Let b = 0.013 + -0.021. Let i = 2.992 - b. What is the closest to i in -0.5, a, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hm when two letters picked without replacement from {m: 5, z: 1, h: 2, e: 1}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/((-3 - -1) + 0). Find the common denominator of 43\/4 and (273\/18 - 1) + s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 4 (b) -1\/3 (c) -3.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 + (3 + -7 - -1). What is the second derivative of 3*u + 2*u + 6*u**2 - 3*u**o wrt u?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/2 and 13\/694.\nAnswer: 694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 + 28316 - (0 - 10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-5)*80\/(-12). Let z(v) = -9*v + 8 + 1 - 3 + v**2. Let w be z(o). Which is the second smallest value? (a) 3 (b) w (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1880165 and 498.\nAnswer: -1879667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -572*c + 59590. What is x(108)?\nAnswer: -2186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.6 + -1. What is the nearest to -0.1 in b, -2\/3, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26434 - -26440 - (0 + 1 + 3 + 0 + 20).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 8:01 PM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1709, 3131, 4629, 6203, 7853, 9579, 11381?\n\"Answer: 38*p**2 + 1308*p + 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8, -13, -24, -41, -64?\n\"Answer: -3*n**2 + 4*n - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1433800*g - 46 = 1433803*g + 29 for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 811842?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 87218*b**4 + 2*b**3 + b**2 + 394494134.\nAnswer: 348872*b**3 + 6*b**2 + 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 9. What is the second derivative of -14*l**5 - 7*l**5 + 5*l**2 - 5*l**n - 24*l wrt l?\nAnswer: -420*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -1\/180*j**5 + 0*j**3 - 41*j**2 + 0*j + 1\/72*j**4 + 0. Suppose v(f) = 0. Calculate f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (66 - 69) + (2 - -9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -588 divided by 84\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 24 = 5*m + 4*k, 2*m + 5*k + 5 = 0. Suppose -6*v + 4*t = -3*v + 32, -15 = 5*v + t. Are v and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 + 4)\/((-12)\/(-16) - (-2)\/8). Solve -2 = -29*s + 28*s + p, y = 2*s - p - 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 52, -5, 0 in increasing order.\nAnswer: -5, 0, 17, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5975 - 5980. What is the third smallest value in 4, m, -110?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -97 divided by 4.\nAnswer: -97\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39 and 299.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/11 and 79\/99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -31 or -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of 143*k**4 + 2*k**3\/3 + 103*k**2 - k - 4447. What is the second derivative of z(n) wrt n?\nAnswer: 3432*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 1.086057.\nAnswer: -3.258171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + 10*y**2 + 6*y - 46. Let n be u(-9). Which is smaller: -204\/11 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g - g + 0*g + (-2*g - 3 + 3)*(1 - 3 + 4) - g - 4*g + 3*g + 2*g - g - 2*g)*(2 + 0 - 1) as p*g + d and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - 19*m - 6. Is 12 a factor of c(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 1\/2 (b) 2\/5343 (c) -533\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*i - 3848 - 4346 = 256 for i.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from atatttaattttaatttt. Give prob of picking 2 t.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25*9185.\nAnswer: -229625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6*(4 + -2)\/6. Suppose -76 = -13*o + 15. Suppose -2*v = 5*t - 99, -3*t - 72 = -o*t + h*v. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kaa when three letters picked without replacement from {k: 4, v: 1, h: 4, i: 4, o: 3, a: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -250, -269, -206, -43, 238, 655, 1226?\n\"Answer: 3*w**3 + 23*w**2 - 109*w - 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 390, 2, 7984 in decreasing order.\nAnswer: 7984, 390, 2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-8))\/(((-12)\/(-6))\/(-20)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*k**3 + 15*k - 2*k**2 - 2*k**2 + 2 - 14*k to the form n*k + l*k**3 + z + u*k**2 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 57 = -37. Let g(w) = -w**2 - 21*w - 68. Let b be g(v). Solve -7*l + 15 + 13 = b for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52546 to the power of 1\/2, to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 458*w = -3250 - 11864 for w.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 132210 and 18330?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 4*q + 5 = 2*t, -2*t = -3*q - 2. Is (-1 - (t - -1)) + 25 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 157064 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 + 103. Suppose -241 = 3*c - x. Let b = c - -79. Calculate the greatest common divisor of 13 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 24*p**2 - 460*p + 89. Determine b(19).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3*a + 15 = -5*v, 5*a - 3 = v. Let g = -16 + 23. Let c(o) = -o - g + a*o - 2*o. What is c(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30245279.\nAnswer: 97, 311807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 261076 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 3170?\nAnswer: 3173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y. Suppose 2*x = 18 + 16. Let q(n) = 46 - 19 - x - 12 + 17*n. Give d(q(k)).\nAnswer: -17*k + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 - 5*g - 5. Let y(a) = 4*a**2 + 25*a + 26. Let o(n) = -11*f(n) - 2*y(n). Is o(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = k + 4*k. Let j = k - -14. Does 3 divide (16 + 2)\/j + 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -418*v - 24. List the prime factors of m(-4).\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*f - 25 = -88*f. Solve 0 = -4*r + f*l - 9, 0*l + 7 = -4*r + 3*l for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of -r**5\/10 + 4*r**3 - 16*r**2 - 3*r - 19. Determine v so that o(v) = 0.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -23*j - 32, 5*s + 284*j = 2*s + 278*j - 15 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -1201403?\nAnswer: 1201354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 12625875 divided by 75\nAnswer: 168345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6dd9 (base 16) in base 10?\nAnswer: 28121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21221000201212 (base 3) to base 15.\nAnswer: 583318","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -351*h + 319*h = -94 + 446 + 544 for h.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72503.\nAnswer: 72503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 435787 to the nearest integer?\nAnswer: 660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 4792540000 to the nearest one million.\nAnswer: 4793000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.057995745 rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 192 and 18688.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 493.422 and -0.355.\nAnswer: -175.16481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 6*w - 23 = -3*w, -4*w - 52 = -2*z. Suppose -3*y - 5*y = -z. Solve 2*l - 23 + 5 = y*q, 2*l = -3*q - 17 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*m**3 + 112*m**2 + 336*m - 1152 = 0. Calculate m.\nAnswer: -24, -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + 6*f + 2*f)*(-2*f + 2*f - 2*f**2)*(0*f + 6*f + 0*f).\nAnswer: -60*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_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: Let b be 10\/(12897\/(-12900) - -1). What is b rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -190925 (base 15) to base 10\nAnswer: -1217060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1455\/4 or 1558?\nAnswer: -1455\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 4*g = -4, -3*r + 3 = -g - 10. Suppose 3*w = -w - r. Which is greater: w or -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -113 minus 595?\nAnswer: -708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 20*n**2 + 14*n + 55. Let a be s(-19). Let p = a + -96. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36 + 37. Which is the smallest value? (a) -1 (b) s (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tnntntnnntnnnn. What is prob of picking 3 t?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -53 - -430?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 89850405 and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59491?\nAnswer: 41, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d**2 + 76672915*d - 153345810 = 0. What is d?\nAnswer: 2, 15334581","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -725660*r**3*u**3 + 3*r**3*u**2 + 188*r**3 + 7*r**2*u**2 + 16*u**3 + 243*u**2 - 2*u wrt u?\nAnswer: -4353960*r**3 + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 51322 to the power of 1\/2, to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 13568?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 5*d**3 - 15*d**2 + 37*d - 4. Suppose 5*q + 4*y = 2*y + 12, -q - 3*y = 8. Does 28 divide k(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 + 2*f - 2. Let z be g(-3). Suppose -q + 1 = -z. What is the third derivative of -n**5 - n**5 + 3*n**2 + 3*n**6 + q*n**5 wrt n?\nAnswer: 360*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (768\/60)\/((-16)\/40).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36254 - 35794. Calculate the remainder when m is divided by 63.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 687669.\nAnswer: 3, 229223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1058.495 years in centuries?\nAnswer: 10.58495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in twenty-one halves of a microsecond?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xeee when four letters picked without replacement from xdexddedxdede.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -4*v**2 - 3*v. Let p(n) = -n**2 - n. Suppose -10*f + 15*f - 25 = 0. Suppose 2*t + 5 = 5*c - 4, -t + 3 = f*c. Determine t*m(s) + 6*p(s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a milligram in micrograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 0 - n**3 + 0 + 7*n**2 - 1. Let z be h(7). Suppose 0 = 3*l + 4*v - 14 + 4, -4*l + v = 12. Which is bigger: l or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 12*r + 6. Let p be x(-12). Let d = p - -34. Is 36 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate i**3 - 3*i**2*s**2 + 14*i**2 - 7*i*s + 3*s**2 - 5*s - 6 with respect to i.\nAnswer: 3*i**2 - 6*i*s**2 + 28*i - 7*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*c + c - 3*c + 4*c + 6*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6 + (0 + -2 - -1). Suppose -3*n + 217 = 2*g - 169, t*n + 3*g = 644. Let k = n + -21. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5995, -5993, -5989, -5983, -5975?\n\"Answer: a**2 - a - 5995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(2\/(-3) - -1). Let n(k) = 0 + 0 + k**h. Give n(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4277637 and 32319.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 379124353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 1470*w**2 - 10*w + 1. Is f(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kvvlkkkkpcpkkk. What is prob of sequence vc?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 8111 - 21923. What are the prime factors of m?\nAnswer: 3, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in -5, -0.15, 2\/3, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 44 = 4*j, -6*b - 3*j - 15 - 18 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - -250.\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*x**3 + 8*x**2 - x - 41?\nAnswer: 90*x + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -321994384614 - -321994457459.9499885. Let h = s - 72851.25. Let v = h - -5.3. What is v rounded to 6 dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 10:04 PM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12433.\nAnswer: 12433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 7*g = 4, -g - 231 = -4*b. Calculate the greatest common factor of b and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j**(-14)*j*j)\/(j\/(j*j\/j**(-15))))**41)**(-10\/3))**(1\/64) assuming j is positive.\nAnswer: j**(-205\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 7*b**2 - 18*b + 4. Let v be j(9). Solve 0 = 7*s + v - 11 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 h when four letters picked without replacement from {w: 5, h: 14}?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.0153379ml?\nAnswer: 0.0000153379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -660*g + 6. Let a(z) = 1318*z - 10. Determine -3*a(m) - 5*v(m).\nAnswer: -654*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 521461 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -9*r**3 - 8*r**2 - 8*r + 6. Let n(l) = -10*l**3 - 9*l**2 - 9*l + 7. Determine 6*n(i) - 7*x(i).\nAnswer: 3*i**3 + 2*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-3)\/2)*(((-53)\/53)\/(-1))\/(-41).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7745 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 5:24 PM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -477 - -480 - (0 + 14)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 5*o + 320 - 81, -2*i = -5*o - 269. Suppose 4*r - 168 = 3*l, 0 = -4*r + r + 2*l + i. Which is smaller: r or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 5*p + 16 = 0, -v = -p + 2*p - 4. What is the third derivative of -5*z**v + 78*z**3 - 59*z**3 - 4*z**2 wrt z?\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**2. Let l = -9940 - -9964. Let v(a) be the second derivative of 0 - l*a + 1\/3*a**3 + 29\/2*a**2. What is v(n(y))?\nAnswer: 4*y**2 + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19.7 + 20. Which is smaller: 1\/5 or w?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-1) - (-131)\/131. Let k(z) be the second derivative of 1\/2*z**3 + 3*z + 0 - z**n. Determine k(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 - (11 + 2 + -3). Let j(l) = l**2 + 4*l + 4. What is j(b)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4 and -2.30399695?\nAnswer: 1.69600305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 10:00 AM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/5, 90, -0.6, 3\/2?\nAnswer: 90","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1848\/(-198))\/((-4)\/6).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 87298?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16401367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -129339504 by 63.\nAnswer: -2053008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 381973?\nAnswer: 17, 22469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 times -19?\nAnswer: -1.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-4*1)*(-1)\/2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**8*h\/(h*h\/h**(-5)*h)*(h\/((h*h*h**1)\/h))**(-8\/5) assuming h is positive.\nAnswer: h**(13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0522 - -830.9478. Let i = -830.95 + l. Which is the closest to i? (a) -22 (b) -0.5 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3*u**3 + 2*u**2 - 2*u - 11. Let g be l(0). Let j(b) = -4*b**2 - b + 4. Let x(s) = 21*s**2 + 5*s - 20. Calculate g*j(h) - 2*x(h).\nAnswer: 2*h**2 + h - 4","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 62*j + 1. Let m(l) = -l**2 - 106 - 109 + 328 - 113. What is m(z(n))?\nAnswer: -3844*n**2 - 124*n - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in 4, 0, 0.5, 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -369, -1027, -1685?\n\"Answer: -658*b + 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - 3798155\nAnswer: -3798155.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -129 + 2 - (0 + -13 + (451 - 423))?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -18*y**4 + 22*y**2 + y. Let u(i) = -20*i**4 - i + 21*i**4 - 4*i**2 + 3*i**2. Let m(a) = j(a) + u(a). Find the third derivative of m(n) wrt n.\nAnswer: -408*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000675623504 rounded to seven decimal places?\nAnswer: 0.0000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6099*g + 181773 + 1134553 = 2504*g + 387202 for g.\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-5))\/(-8*(-5)\/(-25)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*y**2 + 7 - 7 - 9*y**2.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3033*y**2 - 7 + 2 + y**3 - 5827*y**2.\nAnswer: y**3 - 8860*y**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from nhnhheshehennonnhns?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from dddddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 0*x - 5*x + 64 = 0, 0 = -2*g - 2*x + 40. Suppose -u - u + g = 0. Suppose -u*r - 1324 = -13*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.62 + 0.12. Let h = -1.97 + -0.03. Which is the second biggest value? (a) -3 (b) h (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 101*k + 70. Let x(i) = -51*i - 30. Let p(n) = 3*h(n) + 7*x(n). Determine p(1).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - s = 5, 4*f = -0*f - 2*s - 10. Suppose 2*q + 8 = 0, f = v + 4*q - 2*q + 33. What is v rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.181 (b) -2\/75 (c) 0 (d) 2\/7 (e) 0.07 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 11, b: 3, m: 1}. Give prob of sequence xb.\nAnswer: 11\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-30)*(-16)\/((-16)\/(-4))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -150983, -2\/7, 3, -1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -107 + 110. Let q = -1 - -0.6. Let d be 2\/(-4)*(-12)\/9. Which is the second biggest value? (a) x (b) d (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f**4 - 27876*f**3 - 9*f**2 - 10692*f wrt f?\nAnswer: 48*f - 167256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o**2 + 2. Let b(x) = -6*x**2 - 4. Let k(m) = 3*b(m) + 5*h(m). Let q(v) = -15*v**2 - 11. What is 11*k(i) - 2*q(i)?\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 19, 3, -2, -1, -1741, 2 in decreasing order.\nAnswer: 19, 3, 2, -1, -2, -28, -1741","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-693)\/(-7128))\/(266\/(-570)).\nAnswer: -5\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 11888244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 0*d - d**2 + 0*d. Let u(t) = 64*t + 20. Let j(v) = 49*v + 15. Let w(f) = -4*j(f) + 3*u(f). What is p(w(a))?\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**2 + 1612 + 1606 - 3218 + 5*a**2 - 5*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -62 + 413. Suppose -5*s + 4*c = -203, 0 = 4*s - c - 191 + 33. What is the greatest common factor of h and s?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*a + 3006*a**2 + 12*a - 6026*a**2 + 2999*a**2.\nAnswer: -21*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 - 13*u - 1. Let t(a) = -3*a - 1. Let w be t(4). Let s be k(w). Let j = -1\/89 + -707\/445. Is s at most as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from rjlmslrmmmjsmmmmrlm.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - (-3)\/9)*75\/(-1640). Is s greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wrwdd. What is prob of picking 3 w?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08314 - 0.4.\nAnswer: -0.31686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136392 is divided by 842.\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*g + 6*g - 2*g)*(0 + 0 + 2*g + (-4*g + 3*g - g)*(-2 + 5 - 5) + 2 + g - 2 - 1 + 1 - g) + 0*g - 2*g**2 + 0*g to q*g + o + s*g**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1041731*o**3*v - o**3 + 2*o**2*v - o**2 - 17391309*o*v wrt o?\nAnswer: -6250386*o*v - 6*o + 4*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 6*z**2 - 23*z - 67. Suppose -5*s + 17 = 4*k + 102, s = -3*k - 6. Is i(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 - -1. Let d = 18 - f. Let z = 0 + -1. Which is the closest to z? (a) 1 (b) d (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(240)*-3)\/(2*sqrt(80)).\nAnswer: -4 - 3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i**6 - 8099*i**5 + 100789*i**2.\nAnswer: -120*i**3 - 485940*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -29 - 11. Let l be ((-10)\/8)\/(2\/(-8)). Suppose 2*j = -j + 5*j. Solve l*p = n - j for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of 0 + 6*c**2 + 0*c - c**3 - 1\/6*c**4. List the prime factors of j(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -12*f**3 - 6*f**2 - 2*f - 2. Let s(r) = 25*r**3 + 14*r**2 + 3*r + 5. What is 5*h(z) + 2*s(z)?\nAnswer: -10*z**3 - 2*z**2 - 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 9*t**2 - 8*t - 8. Let x be 1\/2*96\/6. Determine v(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w**5\/5 + 399*w**4\/5 + 41164*w**3\/5 + 270468*w**2\/5 + 29792*w - 460992\/5 = 0. What is w?\nAnswer: -196, -6, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (39 - (16 - 1)) + -5 - 3?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 0.11 (c) 24 (d) -0.7 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28405 and 95680.\nAnswer: 1817920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1766739.\nAnswer: 3, 13, 89, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2c9a7 - 1?\nAnswer: 2c9a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -3 + (58 - 54) + 0 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**1)**(-11\/9)\/(v**2*v\/(v\/(v**2\/v))) assuming v is positive.\nAnswer: v**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2425, -2426, -2427, -2428, -2429, -2430?\nAnswer: -2431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/101626 and -1\/221?\nAnswer: 1321138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 9*x**2 + 28*x - 10. Let s be l(-12). Let q(j) = s*j + 116*j - 230*j. Let n(p) = -2*p. Calculate n(q(g)).\nAnswer: 56*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 1\/10915297 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1598389?\nAnswer: 13, 122953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 737, 2872, 6449, 11474, 17953, 25892, 35297?\nAnswer: 46174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4953 divided by 3.\nAnswer: 1651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.435 and 246.14.\nAnswer: -107.0709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - -6. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 1697 - 1697 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -67353?\nAnswer: -67352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 403445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -105324 - -3115?\nAnswer: -102206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12656 - 32?\nAnswer: 12624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xn when two letters picked without replacement from {z: 1, x: 4, h: 2, c: 1, l: 3, n: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + -25 + -20 - -8?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54613 - 554.89.\nAnswer: -55167.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-six fifths of a decade?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/(sqrt(5) - 4*sqrt(15)\/sqrt(3)).\nAnswer: -sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 4) to base 14\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0351558 to 3 decimal places.\nAnswer: 0.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -462 + 3610. Let w = s + -15148. Round w to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, w: 3, k: 2, q: 2}. Give prob of picking 1 k and 1 d.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 AM and 9:25 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 2783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4299721 or 4299719?\nAnswer: 4299719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -14005822.\nAnswer: -42017466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**3 + 16434*j**2\/5 - 616032*j - 166522080 = 0. What is j?\nAnswer: -722\/5, 620","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -7*o**4 - 2*o**3 - 2*o - 7. Let a(w) = -6*w**4 - w**3 - w**2 - w - 6. Let t(k) = -6*a(k) + 5*q(k). Suppose t(r) = 0. Calculate r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 821, 879, 951, 1043, 1161?\nAnswer: 1311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**0*q)**15)**(-9\/8) assuming q is positive.\nAnswer: q**(-135\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-3) - ((-140)\/(-21) + -5). Which is the closest to 0.2? (a) 6 (b) 1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 49466 and 8.\nAnswer: 197864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 4*q**2 + q - 3. Let w(p) be the second derivative of -5*p**4\/12 - p**3\/6 + p**2 - 63*p. Calculate -2*o(g) - 3*w(g).\nAnswer: 7*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ih when two letters picked without replacement from {h: 2, i: 1, z: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - 3*i**2 + 2*i + 1. Let y be d(6). Let r = 32 - 21. Calculate the highest common divisor of r and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -50, -366, -1214, -2858, -5562, -9590, -15206, -22674?\n\"Answer: -44*o**3 - 2*o**2 - 2*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192702 is divided by 271?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1060\/28 + 1\/7. Let g = 8 - 6. Suppose 5*z + 3*y = h, z - 2*y + 9 = g*z. Solve -4*f = -z*f - 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2284*q + 470*q = -1492*q - 441584 for q.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7192.144 - 7198. Is 0 greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10278431123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 126*a - 2.\nAnswer: 126*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/(sqrt(32) - sqrt(8)) + (sqrt(17) - (-2*sqrt(170))\/sqrt(10)) + -2.\nAnswer: -2 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1963066198.\nAnswer: 2, 1291, 760289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c + 43 + 23*c**4 - 13*c**4 - 12*c**4 - c**2 + 7*c to s + q*c**3 + j*c**4 + m*c + u*c**2 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 9*r**5\/4 - 3*r**4\/2 - 3*r**3 + 3*r**2\/2 + 3*r\/4 = 0.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 6*p = -p + 4220, l + 5*p = 820. What is the hundreds digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 425201317 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 552330 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 200888\/216*(-9)\/(-4290). Let h = v + 2\/585. Find the common denominator of 7\/6 and h.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12016 divided by 8?\nAnswer: -1502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*o + 16*o + 16*o to v*o + i and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 1 + 3)*(-1 - 5 + 4) + 122 - 27 - 67)*(5*y**3 - y**3 - 2*y**3) as x*y**2 + m*y + r*y**3 + a and give r.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.489 - -0.189. Which is bigger: -12 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b2a8897a + 1?\nAnswer: -b2a88979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*b - 35*b + 2*y - 7258 = 0, 0 = -4*b + 2*y + 7278. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2002 (base 3) to base 8.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q**2 - 4*q**2 + 227*q - 5 - 227*q to l*q + b*q**2 + f and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -3*f + 28. Suppose -25 = 4*i + i + j, -2*i + 3*j = 27. What is the smallest common multiple of l(i) and 5?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*3*sqrt(18))\/sqrt(9)*4 + 5.\nAnswer: 5 + 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4988 and 9632.\nAnswer: 279328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 29 (b) 2\/11 (c) -11\/277 (d) 0.2 (e) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 13432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 9:58 AM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10\/4560267 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 6 - 0. Suppose -804*n = -736*n. Let a be 20 + 3\/w*n. What is the greatest common divisor of 10 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = o, 0 = 2*a - 4*o + 2*o - 42. Calculate the remainder when 355 is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 2 + (-9 - -7) + 0?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 3114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -202.5 at least as big as -27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**2 - m**2 + 2*m**2 - 14*m**3.\nAnswer: -14*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - 3. Let y be 3*((-3)\/(-1) + -17 + 3). Let w = y + 30. What is the closest to 0.2 in -1, c, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iixixxixxxiiix. What is prob of picking 1 i and 2 x?\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = t. Suppose t = h + 4*m + 5 - 3, -24 = -5*h - 3*m. Solve h*b = 3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 64 - 79. Which is the nearest to 1? (a) 4 (b) r (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2023*g**3*p**2 + 13*g**3*p + 4*g**3 - 163547*g**2 - 6*g*p**2 wrt g.\nAnswer: -12138*p**2 + 78*p + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by 40.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 3:48 PM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-13))\/(m*m**(-2\/19)\/m) assuming m is positive.\nAnswer: m**(-226\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6627\/(-94) - -52)*-2.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -20. Is a >= 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/(-14))\/((-5)\/35). Suppose -f*w = 2*w - 312. Calculate the highest common factor of w and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 23 = -0*i - l, -2*i - 4*l + 1855 = -0*l + 1847 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 17*x**2 + 3*x - 46. Let g be k(17). Is 56690\/14 - (g + (-297)\/63) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**3 + 17 - 8*z**3 - 14 to i*z**3 + p + c*z**2 + g*z and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 430367056 to the nearest integer?\nAnswer: 755","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-68176)\/(-2) + 7*(-5)\/(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1661070 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.7, 18, 0.3, 0.2.\nAnswer: 0.2, 0.3, 0.7, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d - 628*d**2 + 629*d**2 + 59*d + 3*d**3 to the form g + h*d + f*d**2 + m*d**3 and give h.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6217731 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/4)\/g**(-3\/4))\/((g*g**1)\/g**(-7))*((g\/(g\/g**5)*g)\/(g*(g\/g**(-1\/2))\/g))\/(g**(-1\/4)\/(g**(-3)*g)) assuming g is positive.\nAnswer: g**(-21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5\/229 - 7771\/687. Calculate the common denominator of 35\/3*(6\/(-90) + 0) and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 259*g - 9672 = 4832. Suppose -15 - 13 = -2*n. Calculate the highest common divisor of g and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = l + 47. Let x = l - -125. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 2 u, and 1 h when four letters picked without replacement from uuuuquhhhuuhuhuqhuqq?\nAnswer: 72\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3620950, 7241922, 10862896, 14483872, 18104850?\nAnswer: 21725830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*h**4*q**3 - 3205*h*q**3 - q**3 + 20*q**2 - 86 wrt h?\nAnswer: 36*h**3*q**3 - 3205*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 8:40 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 4*g = -2, 3*g = 9*b - 4*b + 16 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -6*g + 6. Let y(l) = -4*l**2 + l - 11. Let r(f) = 21*f**2 - 4*f + 60. Let h(j) = -2*r(j) - 11*y(j). Calculate h(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3806, 3964, 4170, 4376, 4534, 4596, 4514?\n\"Answer: -8*b**3 + 72*b**2 - 2*b + 3744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z**3 + 2*z**2 - 1. Let i be f(-1). Suppose -4*r + 6455 = i*v - 7*r, 0 = -2*r - 10. What is v rounded to the nearest 100?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -faa7 - -f?\nAnswer: -fa98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 281 less than -5577.7?\nAnswer: -5858.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*k = -288 + 330 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28739 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -5*b**2\/3 - 40970*b\/3 - 83927045\/3 = 0.\nAnswer: -4097","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/9 of a week in minutes?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -5*a + 1, -15*h = 25*h - 40*h + 2*a - 2 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 103641 divided by 537?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 + 20. Suppose z - u = 127. Is 9 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 1 = i, -6*i + 3*n = -9*i + 21. Let a(w) = -4*w + 6. Calculate a(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*k**2\/9 + 76*k + 1384\/9 = 0. Calculate k.\nAnswer: -2, 173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-156)\/(-884) - 14\/(-17))*0. Let g = -10 + 19. Let l = 16 - g. What is the biggest value in -2, f, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -4*i + 8, 51 - 61 = -4*i + 3*y. Solve 5*r = 0, -8*r = -j - i*r + 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 254*i - 253*i - 4467, 5*v = 3*i + 22311. Is v a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 4 - 1 + 12 + h**2. Let f be r(0). Suppose f = -0*m + 3*m. Solve 2*b = -5 - m for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*w = 18*w - 563 + 2675. Which is the nearest to w? (a) -12 (b) -1 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*t - 89*t = -660 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4\/3, 4, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -8759 (base 12) to base 15\nAnswer: -4636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 + 12. Let s = m - -10. Let w = 2\/50531 + 50525\/151593. Sort w, s, 1 in descending order.\nAnswer: s, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 5*n - 6. Let y be d(5). Let h be (-1)\/y*(-2 - 60). Let u = h + 10. Which is the third biggest value? (a) u (b) -0.2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -40*z + 41. Let a(s) = -19*s + 21. Let r(k) = -13*a(k) + 6*p(k). Let v be r(5). What is the greatest common factor of v and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*z + 57 = 8*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2b8bab7 (base 12) to base 10\nAnswer: -8895595","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of -1823*g**4\/8 + 1139*g**2 - 2*g + 2. Let h(n) = n. Give a(h(x)).\nAnswer: -5469*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7b66 (base 14) to base 5.\nAnswer: -1141304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*k - 8*k. Solve -6\/5*b + 0 - 3\/5*b**k = 0 for b.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3022829 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 9*q**2 + 9*q - 3. Let y(r) = -4*r**2 - 4*r + 2. Let u(c) = -3*c**2 - 17*c. Let d be u(-7). Let a = d + 23. Let t(l) = a*y(l) - 2*v(l). Factor t(m).\nAnswer: 2*(m - 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2))**3*(m*m**(-2\/9)*m)**(-2\/151) assuming m is positive.\nAnswer: m**(-8186\/1359)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2751 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 0*x + x, 4*u - x = 2. Suppose -d = 3*d - 20. Suppose -2 = -j + 1. Solve 3*w - u = j*b - b, -d*b + w = 9 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 377*q - 234 - 4364 - 1811 for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2092 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 m when two letters picked without replacement from qwqwrqwwnwqqwwvmww.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 5:14 PM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 minus -40463?\nAnswer: 40398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1274*r - l = 1278*r + 3, 3*l = 5*r + 25 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 5*m = 190, -5*m - 148 + 26 = -3*c. What is the common denominator of 29\/2 and (1 + -13)*c\/26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.8 + -0.8. Let y = v + 0. Which is the second biggest value? (a) 1\/8 (b) -2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-210)\/(-135) - (-4 - (-732)\/54)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 6:36 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 2. Suppose 0 = r - 4*t + 146, -5*t + q*t + 654 = -4*r. Is 1*2*r\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185 + 68 = -3*o. Let n(i) = -20 + o*i - 121*i + 29. Is n(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -p**2\/3 - 57317*p\/3 - 1202334 = 0.\nAnswer: -57254, -63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -613 - -4?\nAnswer: -608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -76960966*n**2 + 232678528*n wrt n.\nAnswer: -153921932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 4*t + 198, -l + 2 = -1. Let r = t - -49. Let w(k) = 2*k + 6. Let b be w(-5). Is b at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -28. Let a = 22 - m. What is the common denominator of (-273)\/a - -2 - -1 and -47\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -127 take away 0.8?\nAnswer: -127.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2569919, -2569920, -2569921, -2569922, -2569923?\nAnswer: -2569924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 19772 (base 10) to base 3\nAnswer: 1000010022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1745*i + 3478 + 1770 = -409 + 422 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 948?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2893397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 16*s + 23*s - 6*s - 5*s**4 as p*s**4 + k*s + y*s**2 + n*s**3 + c and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4543089 and 16657993.\nAnswer: 49973979","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4497 or 4461?\nAnswer: 4461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 + 8*p + 3. Let n be s(-9). Let a be (-80)\/n + 6 + 4\/6. Let j be 3 + -1 + a\/(3\/1). Solve -j*t = -3*m + 17, 0*m + 3*m + 3*t - 12 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43468, -83385, -123288, -163171, -203028, -242853?\nAnswer: -282640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100110011011 - -110?\nAnswer: 1100110100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 298*y + 19513 + 4647 + 421 = -3729 for y.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of -n**6\/120 + n**5\/60 - n**4\/8 - n**3\/6 - 5*n**2. Let d = 4 - 6. What are the prime factors of v(d)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - o = -57. Let g = 25 + o. What is the second smallest value in g, -2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -408*s + 248*s - 69 + 170*s. Determine g(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131721.\nAnswer: 3, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4496?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2116 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 3, 0, -2 in descending order.\nAnswer: 3, 0, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/(-6))\/3*((-6)\/(-2))\/((-468915)\/2908)?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-24)\/30)\/(2\/(-10)). Suppose n = a + a. Suppose 6*u = u - 5, -a*w = 5*u - 7. What is the remainder when w is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2980 = q - 3049. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**2. Let m(h) = -6*h**2 + 8*h**2 - 1288 + 1355. Calculate o(m(k)).\nAnswer: 8*k**4 + 536*k**2 + 8978","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 12*d + 3. Let n be f(3). Suppose n - 133 = -2*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 5*o**2 - 60*o - 218. List the prime factors of d(-22).\nAnswer: 2, 3, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200202010 (base 3) to base 6.\nAnswer: 143133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -149 (c) 4\/5 (d) 5 (e) 1115\/27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 3*b + 5, 14*b = -5*o + 11*b - 1. Let d(w) = -9*w + 1. Give d(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 67*w + 193 = -32*w, -5*w = 3*p + 29 for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12990.02 rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-10)\/(-200)*-4)\/((-9)\/(-195)))?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100 + 111?\nAnswer: -11101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -30\/216163 and 89\/106020?\nAnswer: 38909340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1166.6 - -1167. What is the second biggest value in 92, -3\/5, r, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 134668, 1077197, 3635430, 8617219, 16830416, 29082873, 46182442, 68936975?\n\"Answer: 134642*v**3 + 35*v - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 8 - 9)*(2 + 0*d + 12*d - 3*d)*(7*d + 29 - 29)*(62 + 5*d - 62).\nAnswer: -3780*d**3 - 840*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 20*u - 24*u = 12, -20*g + 5*u = -20*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 2*t**4 + 56*t**3 - 1450*t**2 + 3912*t + 14040 = 0.\nAnswer: -45, -2, 6, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 398947161 to the power of 1\/3, to the nearest integer?\nAnswer: 736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - y**3)*((3 + 0 - 4)*(2 - 4 + 0) - 2 - 4 + 2 + (1 - 4 + 6)*(-1 - 1 + 0)).\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence negd when four letters picked without replacement from {b: 1, d: 3, g: 1, n: 1, e: 1}.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of l**3\/3 + l**2\/2 - 4*l + 6. Let z(v) = 2. Give -2*m(u) - 5*z(u).\nAnswer: -2*u**2 - 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 7*c**2 + 3*c + 7. Let o be 2 + 6\/(-3) + -7. What is l(o)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (5 + -6) - 9 - (3 + -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 95190318*j**2*z**3 + 98939608*j*z**3 wrt j?\nAnswer: 190380636*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -u - 6*a + 11, -u + 13 = 5*a. Suppose u*l = -7*g + 2*g - 11, -3*l = 4*g + 7. Suppose 25 + 8 = l*t. What is the remainder when t is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 795349 - -10086. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, 0.4, -31?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/33)\/(-2)*6\/6?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -33, 5, -64, -0.5, 1\/6?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-152)\/126 - -16*10\/(-40). Let l be (-467)\/45 - 2\/5. Let c = l - i. Calculate the common denominator of c and -32\/11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 141.2 - 141.9. Which is the fourth biggest value? (a) -2 (b) 2\/15 (c) p (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1011 = -18*r + 1101. Solve -k + 11 - 12 = -5*z, 0 = r*k - 2*z - 18 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 1614?\nAnswer: 1612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -9 + 364\/63 - -1*3. What is the biggest value in -4, -11, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -516 = -502?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -480*d + 561*d - 3726 = 0. Calculate the remainder when 174 is divided by d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*i + 22*i + 3*d = 4, 4*i - 4 = -5*d for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z + 17. Let l be d(-10). Let c be -2 - 2\/(-2)*l. Solve -a - 4*a = c for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 6*m**2 + m - 3. Let v be w(6). Suppose 2*f - 9 = v*f. What is the units digit of (-392)\/(-12) + (-3)\/f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -97*l + 96*l + 2 + 1 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3930, 3933, 3936?\nAnswer: 3939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + -2)\/(3\/(-6)). Let m(p) = p**3 - 2*p**2 - p - 1. Calculate m(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7745 in 0.02, 0.1, -3\/7, 2\/9?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 188 and 3478.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.4 + 0.9. Let d = 20.7 + c. Let k = -26 + d. What is the smallest value in k, 1, -4\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 3*i**2 - 2*i + 228. Let p be k(0). Suppose 5*w + 2*l + 408 = -0*l, -3*w = -3*l + p. Let g be w\/30 + 4\/2. Which is smaller: 20 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100344 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 408*x**3 - 3*x + 2*x - 422*x**3 + 1 in the form b*x**2 + n + v*x + i*x**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 2. Let p = 6634 - 53001\/8. Let j = -9 + p. What is the third smallest value in j, 3, z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6396 is divided by 136?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3*b**2 + 3*b + 4. Let h(o) be the second derivative of -2\/3*o**3 - 5\/2*o**2 - 1\/3*o**4 + 0 + 4*o. What is -5*h(c) - 6*n(c)?\nAnswer: 2*c**2 + 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from nyny.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 463760 and 1056.\nAnswer: 2782560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1295 + 25*v + 1295.\nAnswer: 25*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 150192 divided by -894\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 323516 is divided by 60?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.08455 + 2\nAnswer: 2.08455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -2*(-5)\/(-40)*-668?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -6*k**3 + 2*k + 2. Let g(w) = -7*w**3 + 1. Determine -6*g(r) + 4*n(r).\nAnswer: 18*r**3 + 8*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 35\/(-50) - 1*6\/(-4). Which is the nearest to 2\/9? (a) 2 (b) f (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + h)*((2*h + h + 0*h)*(-2*h + h - h) + 2*h**2 - 3*h**2 - 15*h**2).\nAnswer: -22*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/1)\/(((-60)\/(-5))\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -219 - -630. Suppose -v = 2*s - 55. Let z = s - -251. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3489022.\nAnswer: 2, 103, 16937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -15*w**2 - 48*w - 96. Let y(a) = -3*a**2 - 10*a - 20. Let b(v) = 5*s(v) - 24*y(v). Let l(j) = -219*j**2 + 2*j. Give l(b(r)).\nAnswer: -1971*r**4 - 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 9:01 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 595 - 564. Suppose -45 = 3*i - 4*i. Let x = i + -28. Calculate the remainder when q is divided by x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 5*a**2. Let n(k) = 3*k**2 - 1385*k - 1. Give n(d(m)).\nAnswer: 75*m**4 - 6925*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33 and 956659.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 2*g - 16 = 7*g, -3*q + 4*g + 10 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3310542076.\nAnswer: 2, 23, 3041, 11833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/245 (b) -14 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.66 - -4.34. What is the smallest value in g, 1, 1\/4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -1, -5, 2\/625, -3\/20, 0.2, -0.4?\nAnswer: 2\/625","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 + 1. Let f(q) = -7 + 1 + q**3 - 14*q + 7*q**2 + 0*q**2 + 4*q. Let t(n) = -f(n) + o(n). Let v be t(-9). Are -2 and v non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25 - (-68 - -15) - 24) + (-8 - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3077458 divided by 7?\nAnswer: 3077458\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nxnxxxxxxxxnxxxxnnn. Give prob of sequence nxx.\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35398 - 35394. Let a = 7 - 8. What is the nearest to 4 in a, 0, 1\/7, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 575190817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (2*((sqrt(120)\/sqrt(2))\/sqrt(10))\/sqrt(2) + 5)*6*-4)**2.\nAnswer: 11808*sqrt(3) + 22041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 4780.\nAnswer: 4780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5\/2*56\/(-910)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -356*z - 2508. Determine h(-7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o\/(o\/(((o**(-2)\/o)\/o)\/o))*o*o*o))**(-3\/5)\/(o**7\/o**(-1\/4)) assuming o is positive.\nAnswer: o**(-169\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 921157?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y**3 - y**4 - 344*y**2 - 80*y - y**4 - 267*y**2 + 685*y**2 = 0 for y.\nAnswer: -5, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/(-11)*2002\/(-546)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24588126?\nAnswer: 2, 3, 181, 7547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*l, 5*k = 3*l - 2*l + 21. Suppose 5*p = -2*v + 7, 0 = 4*v + k*p - 0*p - 19. Let h = -7 + 12. Is h > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 15*j**2 - 15*j + 14. Determine s(-16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15758 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -13375094 rounded to the nearest 1000000?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 863 - 73*y**3 - 1269 + y + 74*y**3.\nAnswer: y**3 + y - 406","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 10407, 82928, 279709, 662880, 1294571, 2236912, 3552033?\n\"Answer: 10355*t**3 + 36*t + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**5 + 6*z**4 + 7*z**3 = 0 for z.\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/294)\/(-13*(-25)\/(-1950)).\nAnswer: 3\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 48\/1417871 and 11\/455.\nAnswer: 7089355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 3174\/54 - (32\/18 - 2)?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 17*s**2 - 7*s - 37. Let u(m) = -8*m**2 + 3*m + 18. Give -7*u(j) - 3*z(j).\nAnswer: 5*j**2 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 72280781 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (23\/2)\/(4\/8). Suppose -2*y = -3*a + 6*a - b, 4*a - 12 = 0. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -125, -130, -139, -152, -169, -190, -215?\n\"Answer: -2*h**2 + h - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28 - -92. Suppose -4*z = 4*m + n, 39 = -2*z + 2*m + 3*m. Let a = -7 - z. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - (3 + -3))*1. Let h(l) = 15*l**r - 633 + 633. Let k(o) = -o**2. What is h(k(j))?\nAnswer: 15*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 58 by -5.\nAnswer: -58\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3046 - 5975\/2. Let r = -27 + q. What is the common denominator of (2\/20)\/(-1)*-47 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50145 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -188306920 + 593.\nAnswer: -188306327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3471.\nAnswer: 3, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -34126500 to the nearest ten thousand.\nAnswer: -34130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204882 is divided by 14039?\nAnswer: 8336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 2*n + 0*n + 22 = 0, -6 = -u - n. Put u, 6, -4 in descending order.\nAnswer: 6, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-3)*((-36)\/(-8))\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -1\/8 (c) -0.06 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20967362 a multiple of 1882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -1\/1078848?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -3. Let j = -34 + 52. Let x = j - 13. What is the nearest to -0.1 in -2\/9, x, i?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of -7*o**5\/330 + 235*o**4\/33 - 268*o**3\/33 - 44*o**2 - 1. Factor x(n).\nAnswer: -2*(n - 134)*(7*n - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1e2d8 + 0?\nAnswer: 1e2d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-2))\/(30\/(-8)). Let w = -0.1 - -0.3. Sort w, z, 4.\nAnswer: z, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -268, -533, -790, -1039, -1280, -1513, -1738?\n\"Answer: 4*r**2 - 277*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 86 = 38*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 3*n - 2*n + (0*n - 5*n + 4*n)*(-2 + 2 + 3) - 5*n - n + 3*n - 5*n + n + 2*n + 4*n - n + 0*n)*(2*n - 2*n - n).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 5*f - 6. Let b be m(-5). Let d(v) = v + 1. Let h(i) = 5*i + 1. Let a(p) = -6*d(p) - h(p). Is a(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111010011011101 + 100?\nAnswer: 1111010011100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -0*y + 4*y. Let f(p) be the third derivative of -p**6\/120 - p**5\/10 + 4*p**3\/3 - p**2. Is 4 a factor of f(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 + 153 = -5*d - 2*r, -2*d + 5*r - 20 = 0. Suppose -3*q = 3*i - 45, q = -3*i - 3*q + 50. What are the prime factors of 96\/i - 8\/d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63345.\nAnswer: 3, 5, 41, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**3 + 2 - 2)*(5*z**2 + 4*z**2 - 5*z**2).\nAnswer: 4*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143991.\nAnswer: 3, 5333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 641 + 94 = 5*u. Let s be (21\/u)\/((-2)\/4). Let i = -6 + 3. What is the closest to s in i, -1\/4, -2\/11?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -1*sqrt(448))*-2*6)**2.\nAnswer: -6912*sqrt(7) + 65808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-9) + ((-2)\/(-17) - (-29 + (-2143484)\/(-73593)))\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.3, -27, -8, -1\/4, 5 in increasing order.\nAnswer: -27, -8, -4, -0.3, -1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of s**5\/60 - 7*s**4\/24 - 7*s**3\/6 + 4*s**2. Let f be z(8). Solve -3*d = l + f, 2*d = 3*l - l - 6 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f*f**(-1\/13))*f\/(f\/((f*f**(1\/4))\/f)))\/(f**(-8)\/(f\/f**(-3\/4))) assuming f is positive.\nAnswer: f**(144\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1814, 1505, 1196, 887, 578, 269?\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 162826 - 87863. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u + 2. Let y be r(1). Suppose -2 = -y*b - 2*b. Let i be 8\/(-20) + (-46)\/10. Sort i, 0, b in ascending order.\nAnswer: i, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.78 take away 3566.3719?\nAnswer: -3565.5919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -5*u**3 + 6*u**2 + 17*u + 12. Let y(z) = -4*z**3 + 7*z**2 + 16*z + 12. Let p(w) = 3*t(w) - 4*y(w). Let q be p(11). Is q at least -35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 9) to base 13\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1202717*j**2 + 120771*j - 3.\nAnswer: 2405434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 2*t**3\/13 + 6748*t**2\/13 + 4099126*t\/13 - 58715860\/13 = 0.\nAnswer: -2573, -815, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -803 + 803.878. Round f to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/4 (b) -1\/8 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 445847 (base 10) to base 8.\nAnswer: 1546627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -5*l + 6. Calculate k(-5).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3*l**2 + 2*l - 1. Let d(s) = s**3 - 2*s**2 + s - 1. Let i be d(2). Let x be z(i). Let h be 0 + (-68)\/(0 - x). Is h >= 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 1 + 9. Suppose -t = l - 4. Solve l*r + 4 = -3*x + 7*x, -2*r + 3 = 3*x for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2110 - -12?\nAnswer: -2021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*t**2 - 5 + 4 - 73*t**2 + 102*t**2.\nAnswer: 138*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 67326, 67343, 67364, 67389, 67418, 67451, 67488?\n\"Answer: 2*i**2 + 11*i + 67313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 9*s + 71. Let a be n(-7). Let b be (360 + 5)*(576\/20)\/a. Calculate the highest common factor of b and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 19 = -h, -p - 16 = -21 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/361860 and -145\/888.\nAnswer: 723720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 5*o - 8. Suppose -o*n = -5*n. Suppose 4*q - 4*h - 205 = -9*h, n = -5*q + 4*h + 287. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000037385 rounded to 7 dps?\nAnswer: 0.0000374","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -3*r**3 - 37*r**2 + 71*r + 17. Let d be c(-14). Let x(u) = 5*u**2 - u - 3. Let k(q) = -q**2 - q + 1. Give d*k(l) + x(l).\nAnswer: 2*l**2 - 4*l","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v + 4*v + 3820881 - 3820127 = 0 for v.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-37 - 1250*t + 17 + 20)*(-1 + 2 + 1)*(-2*t**3 - 11*t**3 - t**3) to the form u*t**3 + v + j*t**4 + s*t**2 + x*t and give j.\nAnswer: 35000","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 69.135 - 70. Let n = -73.765 - c. Round n to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -3 + 12. Suppose 5*r = 9*r. Suppose s - 5*s + 20 = r. Solve 2*u - 11 = -4*z + m*z, 0 = s*z - 2*u - 7 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -12, -2*b = -2*a + b - 3. What is the third derivative of -9*g**2 - 45*g**a + 47*g**3 - 5*g**2 wrt g?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -11.\nAnswer: -11, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-3))\/((-4)\/6). Let o = -10680 - -10863. Suppose -u = -r*p + 2*u + o, -2*u = p - 88. Is 15 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 1 = -y. Let s be y\/(1 + 0) + 3. Let p(c) = 10*c**2 + 1 - 13*c**s + 5*c**2. What is p(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + -16 - 32 - -2?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**2 - 4570*a - 1044245.\nAnswer: -5*(a + 457)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**4 - 32*j**3 - 96*j**2 - 128*j - 64.\nAnswer: -4*(j + 2)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, r: 4, j: 2, z: 1}. Give prob of picking 1 w and 2 r.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -82\/3 + 37. Calculate the common denominator of b and -41\/65.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25.811 - -0.111. Let p = l - -25. Which is the nearest to p? (a) 0.5 (b) 0.3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/9 + 41*v**2\/9 - 89*v\/9 - 43\/3.\nAnswer: (v - 3)*(v + 1)*(v + 43)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(45\/(2520\/(-16))).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -350 + 147. What is the units digit of 0 + 757\/7 - (-29)\/x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t**3 + 63*t**2 - 7*t**3 + 160*t**2 + 11*t**3 - 2 to the form l + c*t**2 + u*t + v*t**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from {o: 11, i: 5}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1664 is divided by 35.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 5*h - 4*u, -4*h - 7*u = -9*u + 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 34475191200 to the nearest one million.\nAnswer: 34475000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 + 13*a - 12. Let y be s(12). Let b = -451 + 701. Suppose y*m = -2*m + b. Calculate the remainder when m is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 752447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 830 by 15.\nAnswer: 166\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away -68295316836?\nAnswer: 68295316839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*g = 1682 - 161 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + g - 4*r + 39, g - 13 = r. Let i be (128\/(-12))\/(-4)*(5 - 2). Let x(n) = n - g*n + n + i*n. Let o(l) = -27*l**2. What is o(x(s))?\nAnswer: -243*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -24*c - 961. Give d(-40).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 5*d + 2 = -h, -6 = 3*h - 4*d. Let x(o) = 7 + 5 - 16 + 2. Let c(r) = -r. Determine h*c(g) + x(g).\nAnswer: 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1045.99998887 + 1046. What is s rounded to 6 decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 4*g - 16, -4*q + 29 = 2*g + q. Suppose 0 = -0*n - g*n + 7. Put n, 5, 2, -20 in decreasing order.\nAnswer: 5, 2, n, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 820.\nAnswer: 825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 275 and 495?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 128\/(-56) + 4\/14 + 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) + -2)*4)**2.\nAnswer: -640*sqrt(3) + 4864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 58*r**2 + 9*r - 1537. Let u(i) = 111*i**2 + 18*i - 3075. Let c(y) = 7*m(y) - 3*u(y). Differentiate c(t) with respect to t.\nAnswer: 146*t + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*t**2 - 168307*t**3 + 168371*t**3 - 2*t + 0 - 2 as n*t**2 + b*t**3 + i*t + p and give b.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 480988 to the power of 1\/3, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -6*d**2 + 5*d + 2. Suppose -5*k + 77 = 4*y, 3*y + 14*k - 59 = 9*k. Let c(l) = 4*l + 2*l + 9*l**2 + 2*l**2 + 3 - y*l**2. What is -5*c(v) + 6*j(v)?\nAnswer: -v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p. Let l(k) = k. Let i = 8 + -11. Let w(j) = i*f(j) + l(j). Suppose -4 = -5*z + 1. Let y(b) = 1. Determine z*y(o) + w(o).\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 395205030 to the nearest integer?\nAnswer: 734","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12456458 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 144.8 - 136.8. What is the third smallest value in 1\/5, b, -3\/7, -1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 11*k + 100454 + 4009. What are the prime factors of k?\nAnswer: 3, 53, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -409.5 - -244. Let o = -19.5 + s. Put o, -0.2, 2 in increasing order.\nAnswer: o, -0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -4, -737 in ascending order.\nAnswer: -737, -8, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -6135 (c) 3 (d) -1\/3 (e) -1\/7 (f) 23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34 + 59. What is the highest common factor of a and 225?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21609 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*x**3 + x**2 - x**3 + 12391*x - 12165*x wrt x.\nAnswer: 18*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 9:14 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000776095112 rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1424215 divided by -5?\nAnswer: -284843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4720 or 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5129.076l?\nAnswer: 5129076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4962 = -187*m - 5438 + 13560 + 3372 for m.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 3*q + 15, 4*u = -q + 5*q + 20. Suppose u = -2*c - 5*i, 3*c = i + i + 38. Calculate the greatest common divisor of 4 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -678688564696 - 632\nAnswer: -678688565328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3786.161344 rounded to one dp?\nAnswer: 3786.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 5:36 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-151 - -141 - (0 - 18)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/6)*f*f*(f\/f**(2\/13))\/f*f\/(f\/(f*f*f\/f**(5\/2)*f))*f**(1\/12) assuming f is positive.\nAnswer: f**(509\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 - 3*u - 13. Let q(l) = l. Give 5*q(t) + s(t).\nAnswer: -t**2 + 2*t - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0014475 rounded to 5 dps?\nAnswer: 0.00145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 72420289 to the nearest integer?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3*m**4 + 2*m**2 - m. Let r(s) = 14*s**4 - 52*s**3 - 36*s**2 + 294*s. Let i(j) = -6*f(j) - r(j). Let i(g) = 0. Calculate g.\nAnswer: -12, -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17200000 rounded to the nearest one million?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -608, -599, -568, -503, -392?\n\"Answer: 2*f**3 - f**2 - 2*f - 607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2282*j = -2281*j + 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.2, -6\/7, -11?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4444 is divided by 787.\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -3*g + 53, 2*v = -804*g + 808*g - 64 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-104 - -189) + -81 + (-1 + -1 - -70)\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b - 1. Calculate the lowest common multiple of ((-1)\/(2\/21))\/(6\/(-4)) and p(10).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 28 + 162. Suppose -34*m + x*m = 7316. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 l when two letters picked without replacement from auauxaxxafulfkafx?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3*v + 1 - 2*v + 0*v. Let f(r) be the first derivative of -3*r**2\/2 - 3*r + 836. What is -f(z) - 2*n(z)?\nAnswer: z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5671 divided by 248?\nAnswer: -5671\/248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + (10 - (6 - 7)) + 40 + -107.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -504 by -168.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 185605*s**3 - 779 + 779.\nAnswer: 185605*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14929483201 - 14929483201 + 36*q**2.\nAnswer: 36*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-14) - (-4)\/14. Suppose t = -3*p - p + 84. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rbrrvvsrs. Give prob of sequence vbv.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/17, -1, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -210300402 (base 5) to base 16\nAnswer: -d41f4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 427 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 + 16. Sort 1, x, -5, 0 in descending order.\nAnswer: 1, 0, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -205645 - -1684.\nAnswer: -203961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n - 14 + 2 = 0, -8*v + 14 = -0*n - n for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 45, -5 in descending order.\nAnswer: 45, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - h = 20. Let k(n) = 7335*n - 14665*n + 7335*n - n**2. Calculate k(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m**2 - 3*m**2 + 2*m**2 + 4*m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s - s**2 + 0*s**3 + 3*s**2 + s**3 to the form c*s**2 + m*s**3 + a*s + p and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 4\/83?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -179067, -358313, -537559, -716805, -896051, -1075297?\n\"Answer: -179246*o + 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3 (b) -2 (c) 2\/15 (d) -3 (e) 1149\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -0.2, -18, -1\/3, 5, 250?\nAnswer: 250","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, n: 1, o: 1, w: 1, i: 1}. What is prob of picking 1 o and 1 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12963 is divided by 209?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -5*k + 4. Let o(b) = -b**3 - 5*b**2 - 5*b + 3. Let r be o(-4). Let s = k + r. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -249, -457, -665, -873, -1081, -1289?\n\"Answer: -208*c - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 429263540 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 118759 and 1133.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*t + 0*t + 257 + 185 = 0 for t.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0071991 to 4 dps.\nAnswer: 0.0072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134 + 348 + 25 = -39*x for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((sqrt(144) - -1*sqrt(144))\/sqrt(4))\/sqrt(3))\/((sqrt(66) - (sqrt(66) + sqrt(66) + (sqrt(66) - 1*sqrt(66))))\/sqrt(11) + sqrt(216)*2).\nAnswer: 2*sqrt(2)\/11 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1705371660?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -1. Let m be (-11)\/2 + 6\/(-12). Let t be 2\/30 - m\/(-15). Which is smaller: a or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.041 (b) 1 (c) 0.3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 282, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 - -11. Let h(k) = 6*k**3 + 8*k**2 + 3*k + 8. Let t(w) = 7*w**3 + 8*w**2 + 4*w + 9. Let y(l) = d*t(l) + 6*h(l). Is y(-8) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 293905?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 2*l**2 - 3*l + 13. Give y(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and 264784.964027.\nAnswer: 264786.964027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 - 2*r**2 + (13*r - 3 + 3)*(2 + 2*r - 2) + 1291*r**2 + 192 - 192 in the form c + f*r + k*r**2 and give k.\nAnswer: 1315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f**2 + f + 4*f**2 - 2*f**3 - 7*f**3.\nAnswer: -9*f**3 + f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13235 rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -3*x - 1198, x = -4*x - l - 2025. Let t = 576 + x. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 198 and 31226976.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2171366 or -2171368?\nAnswer: -2171366","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = c - 27. Suppose 0 = 4*d - 5*d - c. What is the units digit of (-3 + 2 + d)*-1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1031214938*j + 514143233 with respect to j.\nAnswer: 1031214938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2937\/(-178)*(8\/(-6))\/(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 20*(-2)\/(-4) + 2. Let u be 2\/(-7) - 172\/(-14). Calculate the greatest common factor of n and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2\/59029719?\nAnswer: -2\/59029719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**3\/c*c)**(-41) assuming c is positive.\nAnswer: c**(-123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1584 and 297.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2 - 65*m + 150.\nAnswer: -5*(m - 2)*(m + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1746874?\nAnswer: 2, 873437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h - 2319 = 1185. What is the remainder when h is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-4)*(-1)\/2. Let r(k) = -1246*k - 51091. Let z be r(-41). What is the nearest to 2\/5 in z, h, 0.5, -0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - 28*x - 69. Let m be y(-25). What is the derivative of -64 + 22*i**3 + m*i**3 + 71*i**3 wrt i?\nAnswer: 297*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67261 (base 9) to base 4.\nAnswer: 22322032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 4*v = -82432, 71*v - 61822 = -3*y + 76*v. Is 124 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -5*b**2 - 6*b. Let z(r) = -2*r**2. Give z(y(j)).\nAnswer: -50*j**4 - 120*j**3 - 72*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 + 132. Let b = r - 162.146. Let m = 0.096 + b. Put m, -5, -4 in decreasing order.\nAnswer: m, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147*w = 155*w - 88. Solve 6 = x + w for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14919.4 - -14919. What is the closest to 0.1 in -4\/3, v, -5, -1\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148809491 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1791309 divided by 39.\nAnswer: 45931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 - -36. Suppose -9*h = -4*h - w. Let k(t) = 2*t**3 - 3*t**2 + t - 2. Let n be k(h). Solve 2*a = n*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7438200 divided by 924?\nAnswer: 8050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 133*x**4 - 2*x**3 + 50*x**4 - 2*x**3 + 858*x - 857*x + 3 to u*x**2 + o*x + m*x**3 + i + j*x**4 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 38*w + 3371. Calculate the remainder when v(-46) is divided by 270.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -103 + 105.4. Let r = p + -1.4. What is the biggest value in r, -0.13, -2\/9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -35*c - 350. Let i be z(-10). Let s be (-11671)\/(-44)*16 - (i + 4). Round s to the nearest 100.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/6 of a day in hours?\nAnswer: 124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 23 = 2*d, 4*d = -4 - 12. Suppose l*h + 12*h - 34 = 0. Calculate the remainder when 14 is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = -3*q + 4*t, 2*q + t - 14 = 19. What is the highest common divisor of 76 and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 87 - 58. What is the remainder when h is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -235 - -161. Let f = a - 58. Is 0.2 > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1206 divide 3452778?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1187228.\nAnswer: 2, 7, 109, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of -x**9\/7560 - x**7\/5040 + 7*x**5\/60 - 11*x**2. Let u(y) be the third derivative of f(y). What is u(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3000*y**2 - 50*y - 50. Let s(f) = 500*f**2 - 8*f - 8. Determine 4*h(b) - 25*s(b).\nAnswer: -500*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 0. Let r be (-3)\/1 + (-3 - 116\/(-20)). What is the nearest to -1 in r, -1, a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 2*z + 5*r = -178, -474 = -5*z - 2*r. Calculate the remainder when 97 is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of -w**6\/30 - 2*w**5\/5 - 2*w**4 - 16*w**3\/3 - 8*w**2 - 4*w. Factor q(v).\nAnswer: -(v + 2)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -98 - -98. Solve v = 2*y + 4*d + 2, -4*y - 5*d - 2 = -2*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/3 - (-13)\/3. Let s(f) = 0*f - 6 - 5*f + j*f. Let g be s(-5). Is 0 at most as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 2282 (c) 2\/9 (d) -0.4 (e) -146 (f) 0.8 (g) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1\/32)\/l*(l*l**(-9)*l)\/l*l*((l\/((l*l\/l**(-21))\/l))\/l)\/l**(-9) assuming l is positive.\nAnswer: l**(-673\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 304963647 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(5) + 3 + -2.\nAnswer: -sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006388 to four dps.\nAnswer: -0.0064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 70186115 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: What is the nearest to 8 in 2, -5, 3\/2, 10189, -1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.26 - 2.26. Which is the biggest value? (a) 1 (b) r (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -d**6\/180 + 29*d**5\/30 + 59*d**4\/12 + 89*d**3\/9 - 18*d**2 - 118. What is n in a(n) = 0?\nAnswer: -1, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 753332.5 rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + 7*c + 9. Let o be m(-6). Suppose 2*d + 0*d + w = 4, 5 = o*d + 2*w. List the prime factors of (-1)\/(-2*d\/36).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 7:08 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 292 - 229. Is (11 - c)*(-142)\/8 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**2\/5 - 12*w\/5 + 11\/5 = 0 for w.\nAnswer: 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 66 + -56. Calculate the remainder when 62 is divided by (-8*5\/(-50))\/(1\/n).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63574590 is divided by 1436.\nAnswer: 1434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6\/23 + 148\/391. Let o = 12 + -11.6. Which is the nearest to -3? (a) o (b) v (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 0 + m + 3 + 3*m**4 - 6*m**2 + 5 in the form g*m + u*m**3 + q*m**2 + z*m**4 + w and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 a when four letters picked without replacement from rrairvmrrmrvvmv?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -75) + 1 - (216 + -225).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1060720 is divided by 601?\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 - 28*z + 32. Let h be n(27). Solve -5*i + 14 = -6*r + 4*r, r = -h*i + 8 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of 4*y**3\/3 - 46*y**2 + 67*y + 50. Is q(30) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24040 is divided by 42?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/18)\/(-3*(-5)\/(-45))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -205?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + r - 520. Let f be (-186)\/(-4)*6\/(-3). Let s = f + r. Is 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 6:33 PM and 4:01 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15.4987 - -15.37. What is m rounded to three decimal places?\nAnswer: -0.129","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**2\/c**(-1\/3))\/(c**(2\/9)\/c)**29 assuming c is positive.\nAnswer: c**(224\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/19)\/v)\/v*v**1*v*(v\/((v\/(v*v**(-5\/8)*v))\/v*v))\/v**(5\/4) assuming v is positive.\nAnswer: v**(35\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 208 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1237 divided by 57\nAnswer: 1237\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 10) to base 4\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4349792 - 4*h**4 - 1902*h - 19*h**3 + 4349792 wrt h?\nAnswer: -48*h**2 - 114*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**2. Let w(p) be the first derivative of -19*p**2\/2 - 9*p + 3. Let m(o) = 9*o + 4. Let t(r) = 9*m(r) + 4*w(r). Determine x(t(u)).\nAnswer: -50*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1875 and 2193?\nAnswer: 1370625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9 and -0.1.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 520368 divided by 8\nAnswer: 65046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 102.79332 rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22314?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24 - 63) + (51 - -68)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-3 - 14)) + 653 + -635?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -3\/7 (b) -0.05 (c) -2\/11 (d) 0.41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d\/(d**(-4)*d)))\/d)**7)**(1\/36) assuming d is positive.\nAnswer: d**(-7\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 204 (base 13) to base 7\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 779 is divided by -4 - (-2 + -12 - (-14 + 13))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of 51*m - 69*m**2 - 23\/6*m**3 + 2. Differentiate v(u) wrt u.\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -181705 minus -0.810017?\nAnswer: -181704.189983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -17*h - 11 + 2 - 14 - 20. Let v(x) = -68*x - 173. Let z(t) = 9*k(t) - 2*v(t). List the prime factors of z(-10).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 43973.8l?\nAnswer: 43973800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*o + 9*o - 19*o.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 7*a**2 - a - 1. Let s be j(-4). Let k = 25 + -23. Suppose -5*w = 5*q - w - s, 2*q - k*w = 64. What is the remainder when 215 is divided by q?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k + 0*k = 140. Solve -4*d + k - 4 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/751468 and 44\/91749.\nAnswer: 15780828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -122 - -123. Let h(w) = -w**2 - 5*w - 7. Let o be h(-5). Let y be (3\/o)\/((-4)\/(-7)). What is the nearest to -2 in -1\/3, y, m?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-116374)\/(-248) + (-10)\/(-8). Which is bigger: 471 or k?\nAnswer: 471","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 15*b**4 - 4*b**3 - 20*b**2 - 15*b. Let i(g) = -2*g**4 + g**3 + g**2. Let l(r) = -7*i(r) - n(r). What is y in l(y) = 0?\nAnswer: -5, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/150*-5)\/(8\/50).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - 5*z**2 + 6*z + 3. Let h be d(-6). Suppose 10*f = 5*f + 25. Find the second derivative of f*c - 8*c + c**h + 5*c wrt c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/3 - 51103*n + 4293436\/3.\nAnswer: -(n - 28)*(n + 153337)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -261 divided by 259\nAnswer: -261\/259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 184950952?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5.810656 centimeters?\nAnswer: 0.05810656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 825131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -989 divided by 989?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 30*f**2 - 58*f - 4598. Let d(z) = -58*z**2 + 119*z + 9198. Let v(t) = -5*a(t) - 3*d(t). Find the first derivative of v(n) wrt n.\nAnswer: 48*n - 67","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 73524 + -73523.5. Let o = 6.3 - 2. Let y = o - 28.3. Which is the smallest value? (a) y (b) -3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or 7\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 4:02 PM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = a - 9. Let d be (2\/a)\/((-3)\/9). Let w = 2 - d. Solve 4*m - 9 = b - w*b, 5*m + 5*b - 5 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/162 and -49\/9.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 4 = 3*i. What is the highest common factor of i and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/(sqrt(48)*-2)*5.\nAnswer: -5*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l - 42 - 79 = 0. Let z be 6\/18*(4 + l). Solve 3*m + 3*n + 14 + 1 = 0, -2*m - z*n = 16 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 11, t: 1, z: 1}. What is prob of sequence eez?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 18041, 36080, 54119, 72158?\n\"Answer: 18039*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 2:13 PM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 1)*(-6480 - 10323 + 1499 + 2042)*(0*w + 6*w - 4*w).\nAnswer: -53048*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.05 - -0.17. Let a = -2.12 + i. What is the nearest to -1 in -0.1, -0.3, a?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-8))\/(-26*(-130)\/(-310960))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 5. Let y(w) = -8*w + 10. Let l(c) = -5*c + 9. Let v(t) = -3*l(t) + 2*y(t). Let s(i) = 4*g(i) + 3*v(i). Calculate s(-7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110\/148*(-608)\/(-240)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-4) - 63\/(-42)*7\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 3*r + 25, 3*r = p - 18. Suppose -3*s - 31 = -y, -4*y + 121 = 3*s - p. Calculate the remainder when 59 is divided by y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**3 + 68*w**2 + 378*w = 0. What is w?\nAnswer: -27, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of 13*w**7\/7 - 3*w**3 - 6. What is the third derivative of k(g) wrt g?\nAnswer: 1560*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -682*d - 24*d**5 + 682*d + (-2*d**4 + 0*d**2 + 0*d**2)*(2*d + 1 - 1) + (-d**3 + 0*d**3 + 3*d**3)*(2*d**2 - 3*d**2 + 4*d**2) + d**4 - 2*d**5 - d**4.\nAnswer: -24*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 0.01 (c) 8\/3 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.25 less than 0?\nAnswer: 3.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 0.20918, -12?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 14*l**2 + 53*l - 6. Let i be j(16). Which is greater: i or 331?\nAnswer: 331","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ghe when three letters picked without replacement from gncngcgnechhhggghgeh?\nAnswer: 7\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - (sqrt(84) - -5*(sqrt(84) + sqrt(84)*2 - sqrt(84))))*-1)\/((sqrt(12) - (sqrt(1452) - sqrt(1452)*-1)) + -4*sqrt(48)\/sqrt(4)) + -5.\nAnswer: -5 - 2*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9745173us to milliseconds.\nAnswer: 0.0009745173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 1373 = -3*o, 4*p - 4*o - 1284 = -184. List the prime factors of p.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -20, -5, -2, 255?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 396549 is divided by 1396?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -260 by 3255.\nAnswer: -52\/651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3920 and 1499120.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1092 * -1634.\nAnswer: 1784328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 0.029?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1382*h + 1495*h = 57743. Let j(u) = u**3 + u**2 - 7*u + 5. Calculate the remainder when h is divided by j(4).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2336 + 20164. Suppose 2*b + 2*k - t = 0, -10*b = -5*b - 5*k - 56250. What is b rounded to the nearest 100?\nAnswer: 11300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.7 + 4. Let r = i + 0.7. Let s = 0.048 + 4.952. What is the closest to 1 in s, r, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00095969 rounded to four dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 162967 (base 12) to base 6\nAnswer: 12034211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.04, 5, 0.9 in decreasing order.\nAnswer: 5, 0.9, 0.5, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33419708?\nAnswer: 2, 7, 19, 62819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -899\/23 + 45533\/1242. Let p = -5323\/3654 + -61\/261. Find the common denominator of m and p.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117 + 134 - 17*y + 117 + 124 - 609 + 116.\nAnswer: -17*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/6009432 and -85\/309309.\nAnswer: 42066024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 785 not equal to -3\/232?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ghf when three letters picked without replacement from phfhphhppg?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 762216 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6, -7, -16, -21, -22, -19, -12?\n\"Answer: 2*w**2 - 19*w + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25416 is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -4*l**3. Let i(a) = 168*a**3. Determine -i(j) - 8*x(j).\nAnswer: -136*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 25083, 100137, 225165, 400167, 625143?\n\"Answer: 24987*s**2 + 93*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 87868386*i*q*z + 13*i*z - 422463*i + z + 2 wrt q?\nAnswer: 87868386*i*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -19\/3, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 229905 and 3400891?\nAnswer: 1703","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/1264925 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -10000?\nAnswer: -1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -118 - -122. Let s be ((-12)\/16)\/(11\/b). Which is smaller: s or -2\/9?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -17, 15 in increasing order.\nAnswer: -17, -5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 391 or 392?\nAnswer: 392","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0423 + 0.3577. Sort -0.1, r, 1\/3, -0.056 in decreasing order.\nAnswer: r, 1\/3, -0.056, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54807817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2, 2\/7575, 0.143, 3\/4, 5, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2521123 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence geg when three letters picked without replacement from etetgetegeee.\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 245 = -5*s, -3*s - 2*l = -9*l + 6*l + 140 for s.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.045 * -0.32629.\nAnswer: -0.01468305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*g = -50*g. What is the closest to g in -1, 0.73, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4*q + 15 = -3, 0 = 2*x + 3*q - 19. Let c(v) = x*v**3 + 0*v - 3*v**2 + 0*v**3 - v. Let p be c(5). Round p to the nearest ten.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -573 smaller than -4003\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -319\/4, 7.73, 0.1, 1 in ascending order.\nAnswer: -319\/4, 0.1, 1, 7.73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4b434 (base 12) to base 13\nAnswer: 378bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*q + 116 - 3*q - q.\nAnswer: 3*q + 116","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2\/12*51\/17\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5904 a multiple of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 6 - (-88 - -54 - 18)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -54\/911?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*y - 7033 = 3*y - 7201 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -659 - -660. Let o be -62*(520\/(-16) - (-2)\/y). Calculate the highest common divisor of 61 and o.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.08 - 0.08. Let i = 51 - 53. Sort d, -36, i in descending order.\nAnswer: d, i, -36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/3*-3 - 5. Does 7 divide (-1 + 47)*o\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*i**3 + 5*i**2 - 36*i**2 + 29*i**2 + 35*i**2 - 33*i**2.\nAnswer: 7*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -7*p - 6. Let z be s(2). Let w = z - -28. What is the highest common factor of w and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32006?\nAnswer: 2, 13, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (27 - 4 - 8 - (6 - 1)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5170 less than -1107?\nAnswer: -6277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/18)\/(m**9\/m))**17 assuming m is positive.\nAnswer: m**(-2465\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddddwdd. Give prob of picking 3 d.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221543640.\nAnswer: 2, 3, 5, 205133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1011*l**3*u*x - 3*l**3*x**3 + 523*l**2*u*x - l**2*u - 4*l**2*x**3 wrt l?\nAnswer: -6066*u*x - 18*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -36 - 41ecc?\nAnswer: -41f02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-24)\/(-4) - 8\/((-224)\/(-147)). Which is the third smallest value? (a) -20\/3 (b) -4 (c) 1 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -2*w**7\/7 - 178*w**5\/5 - 59*w**3\/3 - 7*w + 626. Find the third derivative of o(a) wrt a.\nAnswer: -240*a**3 - 4272*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -520 + 518. What is the closest to f in 0.5, 2\/3, 1.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5705406 to the power of 1\/4, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46 + -24. Let s = -22 + i. Let y = -103 + 102.6. Which is the fourth biggest value? (a) -1\/5 (b) y (c) 15 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p + p = -3008. Let g = p - -379. Factor 0 - 1\/2*t**5 + 0*t + 1\/2*t**2 - 1\/2*t**4 + 1\/2*t**g.\nAnswer: -t**2*(t - 1)*(t + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/(-15)*15\/2. Let f be 0 + 33\/l + (-9)\/18. Suppose 4*n + 5*j = 13, 2*j - 7 = -f*n + 5*j. Solve -4*o = -n*g + 2, -4*o - 9 - 14 = 5*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 3898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -12, 5062 in descending order.\nAnswer: 5062, -2, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z + 498 - 895 - 751 + 33*z**2 - 351.\nAnswer: 33*z**2 + 2*z - 1499","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -f. Suppose -s = 2*t - 11, 4*s = 17*t - 16*t + 8. Solve 3*h + 0*h - 2*a + 15 = f, 0 = -4*h - t*a for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from ffbfffffhhhffff?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8278 + -6323. Which is greater: -2\/3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5825*s - 112 = -5832*s for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 7:35 PM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 9 = -5*i - 2, 4*i = 4*m - 16. Suppose m*a = -s + 59, 5*a + 3 = 4*a. Does 17 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(102) + (sqrt(102) - (sqrt(102) - (sqrt(102) - (sqrt(102) + sqrt(102)*2)))) + sqrt(102) + sqrt(102) + sqrt(102)))\/sqrt(6).\nAnswer: 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30982391 is divided by 5060.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 194 + -194. Solve -g + 2*s + d*s = -12, -5*g + s = -15 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-6\/29)*j**(-35)*j**(5\/17)\/(j\/j**(-38)*j) assuming j is positive.\nAnswer: j**(-36932\/493)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -5.3265259, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(396)*2.\nAnswer: 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54\/5, -1\/4, 32.\nAnswer: -1\/4, 54\/5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 21 = 5*i - 142, 2*i - 3*m = 30. Suppose -30 = -2*t - 2*q, 0*t + i = t + 3*q. What is the highest common divisor of t and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 73203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of m**6\/6 + m**5\/4 - 5*m**4\/3 - 10*m**3\/3 - 35*m. What is o in a(o) = 0?\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r**4\/2 - 6551*r**3\/2 + 499836*r**2 - 3608262*r + 3111696 = 0 for r.\nAnswer: 1, 72\/11, 294","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 297 and 780516.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3721?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (13 + -1)*2\/(-4). Let n(z) = -2*z - 1. Let f be n(q). Let h be (f\/(-33))\/((-10)\/(-18)). Which is the nearest to 1? (a) h (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/17 in 3, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*d, -4*u + 0*d - 16 = 4*d. Suppose s - 2 - 2 = u. Let o = s - 1. Solve 2*i = 3*p + 4, o*p = -2*i + 7*p + 6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007565696 to three decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52 - 30. Suppose 4*k + l = -v, -23 = 3*k + 2*v + 2*v. Round k to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 426.893 - 1.393. Let y = -425 + a. What is the second biggest value in 0.29, 2\/7, 0.4, y?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 29, 77, 147, 233, 329, 429, 527?\n\"Answer: -q**3 + 17*q**2 + 4*q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 11 = 5*z. Suppose -z*a = -2*a + 66. Let i = 65 + a. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -153.4 + 139. Let x = -33.5 - f. Let a = x + 1. Round a to 0 decimal places.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 356607.2mg in nanograms?\nAnswer: 356607200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-14 - -12) + -2 + (-12)\/(-1). Suppose 31 = 5*a + 4*o, 4*a - y = -3*o + 4*o. Solve 0 = -a*d + l - 8, -4*l = -3*d + d + 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143*w = 138*w - 30. Is (2 - 5) + w + 10906 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/36*15\/(-20).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-28)\/(-1)*2\/(-4). Let m be (-4*(-3)\/(-36))\/((-2)\/(-36)). Let j be (m + 0)\/12*30. Which is greater: j or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w - 13. Let c be p(-7). Let s(l) = l - 1. Let f be s(-1). Is 7 a factor of ((-21)\/c)\/((-1)\/f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 2*g - 5*c, 4*g + 2*c - 5 = -23. Let j be (-2)\/g + 104\/(-456). Which is smaller: 1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5315 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1408126*i**4 - 149*i**2 + i + 7330?\nAnswer: 33795024*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -30*l*t*u**2 - l*t*u + 3950*l*u**2 + t*u**2 - 222*t*u + 10*u**2 + 66 wrt l?\nAnswer: -30*t*u**2 - t*u + 3950*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x + 4*t + 10, 2*x - 4*t = -3*t for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 202 + -204. Which is the third biggest value? (a) z (b) 1 (c) -3 (d) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64\/(-16)*(-6)\/(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-770 + 753 - (46 - -1)) + -30\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5*(sqrt(175) + 2*sqrt(175))**2 + 2*(2 + sqrt(175) + sqrt(175)) - 4*(-1*sqrt(175)*1 - (sqrt(175) + 2 + sqrt(175)*2))**2.\nAnswer: -19086 - 300*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*z**3 - 18*z + 2*z**3 + 11*z + 9*z - z**2 in the form w + y*z + g*z**2 + a*z**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 9 = 3*a, -8*t + 7*t + 5 = -2*a. Solve 4 = 3*q - 2, 21 = -t*c + 3*q for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.12*0.147\nAnswer: 0.01764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 458*i**3 - 45 - 31 + 5*i**2 - 462*i**3 wrt i.\nAnswer: -12*i**2 + 10*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 3:38 PM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 65 = 20*w - 4, -3*w + 2*l + 8 = 0. Which is the closest to 45? (a) w (b) 2\/7 (c) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -66.78 + 62.78. Which is the fourth biggest value? (a) -1\/4 (b) 5 (c) y (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79\/4 != 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1075 or -37451?\nAnswer: -37451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 3:45 PM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*n**2 - 2 + 0*n**2 + 7*n**2)*(-2 + 2 - 1)*(n - n**2 - n).\nAnswer: -2*n**4 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*z - 152 = -50*z. Suppose 18 = s + 4*f, -z + 0 = -3*s - 5*f. Put 1, 4, s in descending order.\nAnswer: 4, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 18*k + 6. Let c be b(2). Suppose -4*n = -n - c. What is the greatest common divisor of 154 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 134 and 2666?\nAnswer: 178622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -36?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 3*j + j = 1, 5*w = -5*j + 5. Let a(d) = 0 + 6*d**2 - 92*d + 0*d**2 + 93*d - 4 + d**w. What is a(-6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.06 and 605.\nAnswer: 36.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - f**2 + 2*f**2 + 4*f - 4*f + (4 - 4 - f)*(3*f - 5*f + f) - 17*f**2 + 13*f**2 + 18*f**2 + 336 - 336 - 2*f**2)*(-2*f**2 - f**2 + 4*f**2).\nAnswer: 14*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132018*c**3 - 66025*c**3 - 66001*c**3.\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5704497.417 rounded to the nearest 100000?\nAnswer: -5700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 45*v + 2 + 178 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9633)\/(-65) + (-2)\/10 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1200 = -547*b + 647*b for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -300, 145, -3445?\nAnswer: -3445","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3981 - -1109. What is the hundreds digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 3*t = 5*h - 35, -3*h - 11 = -4*t. Suppose t*f + 4 = f, -4*d - 66 = 2*f. Let o = d - -55. Is o a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -4*v + 66, -3*p = -5*v + 2*p + 80. Solve -v = 5*u + 4*s, -14*s = 4*u - 12*s + 10 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1432216.\nAnswer: 2, 17, 10531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 478.\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 - -21. Factor 3\/2*s**2 - 1\/2*s**4 + 0 + k*s**3 + s.\nAnswer: -s*(s - 2)*(s + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1050 and 493850?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10471905 divided by -5.\nAnswer: 2094381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 45\/55 + 4\/22. Sort -2, -5, -4, b in decreasing order.\nAnswer: b, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 272458, 273666, 274874, 276082, 277290, 278498?\n\"Answer: 1208*h + 271250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48248690 by 2.\nAnswer: -24124345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*d - 160 = -55 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1831 - 1786. Solve 8*l = -93 + k for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -4*i + 39, 147*i - 27 = 143*i + w. Calculate the least common multiple of 80 and i.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 33517136*o**2 + 26592727 wrt o?\nAnswer: 67034272*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a + 6. Suppose 0*p = 2*p - 0*p. Let h be u(p). Find the third derivative of -710*y**3 - 4*y**2 + h*y**2 + 672*y**3 wrt y.\nAnswer: -228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cllccccc. What is prob of sequence lcl?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3463?\nAnswer: 3463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -493678, 5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15)\/(-24) + (-2)\/8. Suppose -5*r = -d + 20, 2*r = -4*d + 5*d - 8. Let q be (-66)\/154 + r\/126*-3. Which is the closest to q? (a) -3 (b) t (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 879 and 1758.\nAnswer: 1758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = b + 21. Let d be 13\/((-39)\/10)*b\/2. Solve 0*j = -d*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (143*g + 1052 - 297*g + 155*g)*(-2*g + 0*g + 0*g)*(0 + 1 - 3).\nAnswer: 4*g**2 + 4208*g","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 100, 188, 276, 364, 452?\nAnswer: 540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1728 and 94716.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**0*g)**(-34\/5)*(g**0)**(-2\/33) assuming g is positive.\nAnswer: g**(-68\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, q: 3, t: 3, f: 1}. What is prob of sequence qtll?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-4) + (-45)\/180)*(-4)\/6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 75888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 4)\/(88\/319) + -6.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 7. Let k be p*3\/(-6) - 34\/2. Let a = 40 + k. What is the highest common divisor of a and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 11:23 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -266*d**4 + 5*d**3 + 19*d - 38. Let g(r) = -133*r**4 + 2*r**3 + 9*r - 21. Let n(p) = 5*g(p) - 2*t(p). Find the second derivative of n(j) wrt j.\nAnswer: -1596*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -6*o + 9. Suppose -d + 15 = 4*s, 2*s - d + 5 = 4*s. Let h be n(s). Let u be (-3)\/(21\/(-2)) + (-57)\/h. Solve p - u = -0*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 - 9 - (4 - 3). Let l(i) = -i**3 - 4*i**2 + 3*i + 4. Give l(h).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (450\/(-14850))\/(36\/(-891))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1454385626?\nAnswer: 2, 2371, 306703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -57*d. Let z(w) = -8*w**2. What is z(b(r))?\nAnswer: -25992*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -133\/3 + 45. Which is smaller: q or -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 6*p**2 + 8*p - 8. Let h be r(7). Let x be 1\/4*18\/3. Which is the second biggest value? (a) 2 (b) h (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -2*k - 0*p + 85, 5*k = p + 202. Let j = -37 + k. List the prime factors of (-2 + j + 4)*(1 + 5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3 (b) -1\/4 (c) -0.16 (d) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 42\/(-45) - 2\/(-6). Let k = -2 - -4. Let z = k + -4. Which is the third smallest value? (a) n (b) z (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 8:14 AM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a century in months?\nAnswer: 6480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 11*n + 15 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*k + 981*k**2 + 973*k**2 - 2945*k**2 - 37*k + 969*k**2.\nAnswer: -22*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 49 = j. Put -1, j, 2 in ascending order.\nAnswer: -1, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000030396 rounded to six dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -48.77 to zero dps.\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-2\/15))**(4\/3) assuming a is positive.\nAnswer: a**(52\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 61014*i**2 - 12450*i?\nAnswer: 122028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -51208, -51217, -51228, -51241?\n\"Answer: -w**2 - 6*w - 51201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/10)\/((-23)\/115)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wck when three letters picked without replacement from {c: 4, z: 2, w: 1, v: 4, i: 1, k: 7}?\nAnswer: 14\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 367207 is divided by 61.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (972\/189)\/((-10)\/35*(-5)\/(-5))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38 - -47) + (-2 - (17 + 1)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.07 + -5.93. Let d = f + -1. Let l = 2.7 + d. Round l to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77172?\nAnswer: 2, 3, 59, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 4*b - 3. Let y = 18307 + -18306.99. What is the third biggest value in y, 5, b, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 267c + 154d?\nAnswer: 3bc9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k*k**(-1\/3))*k)**(-6)*k**(-1\/4)\/((k**(-1\/4)*k)\/k)*(k**(-6)\/k**(2\/11))\/(k*(k*k**(-8))\/k*k*k**(-1\/3)) assuming k is positive.\nAnswer: k**(-61\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -1\/2*b**2 - 4\/3*b**3 - 1\/4*b**4 + 4 + 3*b. What are the prime factors of l(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -179009255\/2823 + 63411. Do f and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.87024+-60875604\nAnswer: -60875604.87024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 345224 and -0.048915793.\nAnswer: 345223.951084207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 6*r**2 + 4. Let b be f(6). Put b, -5, -1 in ascending order.\nAnswer: -5, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.3643884 centimeters?\nAnswer: 0.000003643884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 323042 and 323027 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -2 - (4 + -4 + 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 - 9. Let b = 3325041.2000095 + -3325060.2. Let o = i + b. Round o to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 - 97098b9?\nAnswer: -97098b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12.87 - -13. Let y = -15 + 15.03. Let r = h - y. Which is the closest to r? (a) -3 (b) 0.5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(5103) - (-5 + 3 + sqrt(5103))) + (sqrt(567)*5 + sqrt(63) - (sqrt(63) - 5*(sqrt(63) + -4))))**2.\nAnswer: -1680*sqrt(7) + 25396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31.55 + 31.55. Let k = -14.2 - 2.8. Which is the nearest to 2\/5? (a) x (b) k (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6310 = 769*o - 175*o + 8039 + 20249 for o.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1591491949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**3\/5 - 12*o**2\/5 - 9*o - 10 = 0. What is o?\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34794 + 17414 - 6918*r + 17380.\nAnswer: -6918*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -12 + 3. Suppose 3*y = x + 12. Let a(p) = p**2 - 4*p. Give a(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 171 = 23*d - 25*d, x - 153 = -4*d. Calculate the greatest common divisor of x and 264.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 473691.7854 to the nearest 100.\nAnswer: 473700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3193 by 137.\nAnswer: 3193\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17)*1*4 - ((sqrt(17) - (sqrt(17) + sqrt(17)*-1)) + -4))**2 + ((-2 + sqrt(153))*5)**2.\nAnswer: -276*sqrt(17) + 4094","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.16 + 5.84. Let d = j + -4. Let p = 2 + -6. Sort d, 0.2, p in decreasing order.\nAnswer: d, 0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + j. Let t be m(2). Suppose -t*v + v + 25 = 0. Suppose -q + v = -6*q. Sort q, -4, 3 in increasing order.\nAnswer: -4, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11100020 + 12?\nAnswer: -11100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2788.335t to micrograms.\nAnswer: 2788335000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o + 1. Let b be w(4). Let a = b - -16. Calculate the remainder when a is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -181\/2 + 87. Find the common denominator of -3 - (5\/((-210)\/4) + (-14149)\/4242) and c.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 4 = d. What is the remainder when 34 is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 12. Let l = i + 5. Let z = 0.41 + 0.09. What is the closest to 1\/3 in z, 3, l?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.5 + 0.5. Let g = j + 1.95. Let w = g + 0.06. What is w rounded to three decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -345185*g**3 + 6*g**2 + 9419 wrt g.\nAnswer: -2071110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/((a**(-17)\/a)\/a)*a**(-22) assuming a is positive.\nAnswer: a**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5599, 11214, 16829?\nAnswer: 22444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 + 4*u - 3. Let x be a(2). Suppose -x = -k + 2. Let w(h) = 4*h**2 + 2 - 3*h**2 - h**k - 4. Determine w(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.51527 - 0.01527. Put -0.33, -4, w in descending order.\nAnswer: w, -0.33, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from {z: 4, p: 1, x: 6, j: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 677743885 to the power of 1\/3, to the nearest integer?\nAnswer: 878","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90996.\nAnswer: 2, 3, 7583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 3*t - t**4)*((3 - 3 + 2)*(-13 - 1 - 8) - 4 + 2 + 3 + 3 - 2 + 1 - 3 - 1 + 3 + 3 - 2 + 1 + (-1 - 2 + 1)*(-2 + 6 - 2)).\nAnswer: 44*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 8, -2*q = -3*f - 4*q + 80. Let b = 27 - f. Let c be (-1 + -1)\/(2*b). Solve -r + 4 + c = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170716664 to the power of 1\/4, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 4*f**2 + 10*f - 15. Let k be d(6). What is the greatest common divisor of 13 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2122\/63 - 234\/7. Let v = n + 2\/63. Which is the smallest value? (a) 2\/13 (b) v (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1192095 a multiple of 732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -171, -214, -285, -384, -511, -666, -849?\nAnswer: -1060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34576 by 2.\nAnswer: -17288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 79.82233 kilometers?\nAnswer: 7982233","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 324\/7 - (-20)\/(-70). Let l = 1534 - 1281. Calculate the highest common factor of r and l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 - 5*w + 12. Let v be o(-6). Let x = -1 + v. Suppose -5*m = -x*r - 80, -2*m = -3*r - r - 38. What is the remainder when 63 is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - 37371*m + 261632. Give q(7).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 280*i**3 - 253*i**3 + 48 - 23*i**3 - 12.\nAnswer: 4*i**3 + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 60*n - 769. Let z be s(13). Solve z*g + 27 = 2*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*g - 788 - 238. Is g a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 1. Suppose j + 3 = 5*t, -j - 4*t + 8 = -7. What is the units digit of (-2)\/j - (-51)\/a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(12) + sqrt(3) - sqrt(3)) + 2)**2.\nAnswer: -40*sqrt(3) + 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 2, -0.2, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110000100101111010 (base 2) to base 3.\nAnswer: -101010000122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40779 + -40781. Let i = 72727993\/248261790 + -27\/124442. Let t = -2\/285 + i. Which is the nearest to 3.3? (a) -0.5 (b) f (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -9*g + 80. Let n be f(7). Let x = 7 - -29. Let m = x - n. Is 11 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78, 152, 192, 204, 194?\nAnswer: 168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from ffbfffqfqqfqqbf.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/5 - 24\/(-15). Suppose -2*r = -1 - k. Solve 21 - r = 4*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8883462 - -15?\nAnswer: 8883477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*a**4 + 35*a**3 + 35*a**2 + 10*a.\nAnswer: 5*a*(a + 1)*(a + 2)*(2*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -369*4368\/(-29862) - 54?\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32\/105 + 1\/35. Let q = 1\/80428 + 40203\/884708. Which is the nearest to u? (a) -4 (b) 1\/3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**3 + 85*l**2 + 123*l + 103. Is k(-39) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b*x**4 - 29*b*x**3 + b*x + 5*b + 291*x**3 + 6*x - 74 wrt x?\nAnswer: 12*b*x**2 - 174*b*x + 1746*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of -v**5\/30 - v**3\/3 + 5*v**2. Let w(g) = 2*g - 3*g + 2 - 1. What is -s(m) - 2*w(m)?\nAnswer: 2*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 d when four letters picked without replacement from {y: 1, d: 2, o: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 68 + -89. Let r be x\/(-9) - (-14)\/21. Suppose -110 = -8*q + r*q. Is 9 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(2)*-2)*-6.\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87893125?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(2299)*-1 - sqrt(2299)))**2 + (sqrt(2299)*1)**2*5 - 2*((sqrt(2299) - (sqrt(2299)*1)**2 - sqrt(2299)) + -1).\nAnswer: -220*sqrt(19) + 25316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14494.76ug in grams?\nAnswer: 0.01449476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9 - 5\/5) + -3. Suppose n*h - 20 = 5*b, h - 4 = -3*b - 0. Let z = b + 251. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k. Let w(q) = 477*q**2 - 8*q. Let p(l) = 11446*l**2 - 194*l. Let z(h) = -4*p(h) + 97*w(h). What is a(z(f))?\nAnswer: -485*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 448, 890, 1330, 1768, 2204, 2638?\n\"Answer: -x**2 + 445*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*v + 4*f - 29 = -86*v, 8 + 47 = -5*v + 5*f for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from szzsssszzzzs?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 34012754 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -15, 0.3, -3, -1, 1.7 in increasing order.\nAnswer: -15, -3, -1, -1\/2, 0.3, 1.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*u - 7123 = -1346. Suppose 12 = 4*t, 2*d + 0*t - 2*t + 106 = 0. Let p = u + d. Solve j + 4*j + p = -z, 3*j = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 741689 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 3:05 AM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 314 divide 109993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30 * -36402.\nAnswer: 1092060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vdvgdgdfgdggvgdvdg. Give prob of picking 2 d and 1 v.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, 2, 23, 3, 5.\nAnswer: -45, 2, 3, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -43*b + 46*b - 9. Put -2, -5, b, 0 in ascending order.\nAnswer: -5, -2, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - -257. Let i = c - 255. Which is smaller: i or 15?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 16 = 2*v. Suppose 0 = -2*i - 4*y + 6, -2*i - 2*y - y + 2 = 0. Sort -2, i, v in increasing order.\nAnswer: i, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 327 - 59. Let f = -260 + q. What is the closest to -1 in -2, -1\/3, f?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-102)\/30*275\/55?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 350681.\nAnswer: 23, 79, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/44678 and 111\/1958?\nAnswer: 491458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/6 and -33\/92.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 24, 43, 74, 117, 172, 239?\n\"Answer: 6*r**2 + r + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33628073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1615, 1606, 1595, 1582, 1567, 1550, 1531?\nAnswer: 1510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 504 and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1348*y = -5784*y - 790*y + 4177 + 53309 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-24)\/40 + 648\/5. Let h = -75 + k. Let x = 81 - h. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = -2*n - p, -4*n - 1 = p - 144. Let x = -11 + n. Calculate the highest common divisor of 12 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of -n**5\/30 - 23*n**4\/12 + 35*n**3\/6 + 35*n**2. What is the units digit of y(-23)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*b**2 - 3*b**2 + 7*b**2 + (-3 - 2 + 3)*(2*b**2 - 1 + 1) + 3 - b**2 - 3)*(-b**2 - 13*b**3 + b**2) + 2*b**2 - 2*b**2 + 10*b**5 - b.\nAnswer: -133*b**5 - b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 6*o**3 - 2*o**2 - 4*o + 5. Suppose -2*z - 2*m + 50 = m, 5*z - 2*m = 144. Suppose -2*g = -3*f - z + 6, -3*g - f = -11. Is x(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 340aa02 (base 11) to base 14\nAnswer: b16c81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 3:56 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 347062304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 4*r**2. Suppose -7*t + 3 = 3. Let l(d) be the first derivative of 0*d + t*d**2 + 1\/3*d**3 - 1. Give c(l(g)).\nAnswer: 4*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 1 + 3. Suppose -144 = -4*p - 4*d, -p + 41 = -0*p - x*d. What is the remainder when p is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -115, -114, -113?\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 11 - 21. Suppose 624 = 2*q - 2*r, q - 282 - 14 = -3*r. Let n = 320 - q. Calculate the greatest common factor of n and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.15? (a) 1\/3 (b) -1\/3 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 + 11*w**2 - w + 14. List the prime factors of b(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 3111394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zg when two letters picked without replacement from {y: 3, z: 3, l: 3, g: 1, h: 2, x: 4}.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5369166?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1083\/8 - 135. Let c = 3.4 + -0.4. Let n = -3 + c. Which is smaller: v or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*b**4 + 19*b**3 + 1392*b**2 - 146618.\nAnswer: 12*b**3 + 57*b**2 + 2784*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of 8*b**2 - 3*b - 3. Calculate the remainder when q(3) is divided by 1\/((-22)\/24 + 1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of 1\/6*q**3 + 1\/60*q**5 + 0 + 0*q + 5\/12*q**4 - 34*q**2. What is w(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 3654?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -930*r + 465*r = -463*r - 56 for r.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, u: 1, g: 4, m: 1, o: 5}. Give prob of picking 2 g.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(6)\/sqrt(3)*-2 - -1*sqrt(18)*-6.\nAnswer: -20*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 17409, 17227, 17029, 16815, 16585, 16339, 16077?\n\"Answer: -8*u**2 - 158*u + 17575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 96788.\nAnswer: -7\/96788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a\/(((a\/a**(7\/9))\/a)\/a))*a*a*a\/(a*a*a*(a\/(a\/((a*a\/(a**(-22\/3)*a))\/a))*a)\/a) assuming a is positive.\nAnswer: a**(-82\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 2, -1\/4, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258*z - 246*z - 72 = 0 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (4\/(-10))\/(23\/(-245))*139\/(-278)?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1013448294?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15064)\/(-5649))\/((-44)\/(-6))?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -175 (base 16) to base 3.\nAnswer: -111211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 179622571?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in 2, -1, -4\/7, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 7*(70\/343)\/(-5)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15453, 15459, 15465?\nAnswer: 15471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 - 109 = -29*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.04 (b) 0.2 (c) 1.2 (d) -93\/193 (e) 1\/3 (f) 1 (g) 3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of 0*p**4 + 10\/3*p**3 + 0*p**5 - 3\/20*p**6 + 0 + 0*p + 39*p**2. Differentiate v(y) wrt y.\nAnswer: -54*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qzvzlvdvdllr. Give prob of sequence lz.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 198 = 5*d + 387, 2*d = 5*j - 1473. Suppose 0*w - 5*w = 5*a - j, 4*a - 234 = -5*w. List the prime factors of a.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (136\/374)\/(12\/(-726))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((4 + -2)*-1)\/(35\/(-20)) + -1\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 - 4*k + 5. Let h(b) = 32*b - 34*b + 8 + 7. Let a be h(5). Suppose n + 4 = 2*x - x, a*x - 20 = -3*n. Give p(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5570055 is divided by 428465?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*h + 23*h - 63. Calculate the greatest common divisor of 21 and h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*q - 105 = -15. Let i be -98*((-78 - 0) + 2). Suppose 0 = q*f + 2 + 18, 0 = -3*s - 2*f - i. What is s rounded to the nearest one hundred?\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 2 = -2*t + 1, -2*t + 3*l = 13 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.5551 - -0.42898. Let c = -17.12362 - i. Let m = c + 17. Round m to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddq when three letters picked without replacement from qdpdyypypdyydyddyyy.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 918 and 88830432.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1076387 is divided by 78?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4, 0.5, 1, -2\/3, -4\/291?\nAnswer: -4\/291","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - 57. Give l(0).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -4*p + 4, 10*m = 6*m + 3*p + 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1756 + -1753. What is the nearest to 1 in q, -0.4, 2\/11, -5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*u + 5*u + 10*u + 28)*(0 + 3 - 2)*(12*u + 8*u + 8*u).\nAnswer: 84*u**2 + 784*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -12066 plus -0.7347106?\nAnswer: -12066.7347106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 62529 = -5661. List the prime factors of x.\nAnswer: 2, 5, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28695512663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 63 and 17598?\nAnswer: 52794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 346a38 (base 15) in base 14?\nAnswer: 492346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1325855502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2240, -2239, -2238?\n\"Answer: k - 2241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/5 (b) 41\/34 (c) 8 (d) 3 (e) 15 (f) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22754442 a multiple of 831?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1697641\/135 - -12575. Calculate the common denominator of -53\/30 and n.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -36169, -3, 2, 3 in ascending order.\nAnswer: -36169, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3927537 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 2:05 AM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -37 - -223\/6. Let y = 88412 + -88411.5. What is the biggest value in 2\/9, y, 6\/11, c?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*((((v*v**(-1\/4))\/v)\/v)\/v)\/v*v\/(v\/(v**4*v))*v)\/(v*(v\/(v*v**(1\/4)\/v))\/v)**44 assuming v is positive.\nAnswer: v**(-117\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3467?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/5)*x\/x**(-1\/7))\/(x**3*x*x*x**(-2\/15)*x*x))**30 assuming x is positive.\nAnswer: x**(-1160\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-2) - (-51)\/6. Let i(l) = 3*l - 13. Is i(x) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 753797928?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -4.06. Let b = -78388 + 78388.5. Let x be (1\/(-6))\/((-2)\/9). What is the nearest to -1 in b, t, x?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 74 - 74. Let z be ((-40)\/16 + 3)*(8 - v). Suppose -2*l + 4*i + 276 = 0, -z*l = -0*l - i - 531. What are the prime factors of l?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 646\/5 greater than or equal to 128?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 81 and 1323.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 6*x + 5*t + 27 = 0, x - 17 = 3*t. What is the units digit of 4\/2 + (-2)\/x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of i**8\/1680 + i**6\/90 - 2*i**3\/3 - 4*i**2. Let g(j) be the first derivative of x(j). Find the third derivative of g(u) wrt u.\nAnswer: 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = 4*m - 16, -5*t - 12 - 8 = -5*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -84, -124?\nAnswer: -164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 241771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 3*b - 30 = 0, -4*r + 5*b + 34 = 76 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 0, -24 in decreasing order.\nAnswer: 5, 0, -2, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137 = -5*i - 122. Let d be -7 + -1 + 3\/1. Sort -25, i, d in descending order.\nAnswer: i, d, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1311030 (base 4) in base 5?\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.093 (b) -5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-4\/7)\/b)\/b*b)\/b**(-1\/7) assuming b is positive.\nAnswer: b**(-10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.01 + 0.59. Let u = -2040 - -2040.1. What is the closest to n in -1\/5, 5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*t - g - 0, -2*t - g = -7. What is the greatest common divisor of t and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14.6 - 14.69. Is r <= -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 19*m + 128. Give u(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 3) + (64 - 63).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a millennium in centuries?\nAnswer: 118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 2*r + 73 - 253, -10 = -5*l. Suppose 3*s - r - 32 = 0. What is the units digit of 12\/s + (-850)\/(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -5 - (-2 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -31\/9? (a) -0.10806 (b) 5 (c) 0 (d) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)*1 - sqrt(112)) + sqrt(63)\/(sqrt(9)*1).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -0.02052, 0.3, -3\/5, -2\/25?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -186.6 + 211.6. Put d, 2, 75 in decreasing order.\nAnswer: 75, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 825.2602 millennia?\nAnswer: 8252.602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**5 - 9*q**4 - 24*q**3 - 16*q**2.\nAnswer: -q**2*(q + 1)*(q + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 29956 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1015 is divided by 146?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -177*c**5 - 22*c**3 - 944*c**2 + 2*c.\nAnswer: -10620*c**2 - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 568 - 548 = 0. Does 18 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.012 (b) -1536 (c) 9\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 576 (base 16) to base 2.\nAnswer: 10101110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21353 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, 94, 221, 474, 895?\nAnswer: 1526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 72386 divided by 1?\nAnswer: 72386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -65 - -74. Let p = 29 - o. Let n be (0\/1)\/(4 + -2). Solve -3*c + 4*d = d, c + 3*d - p = n for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 6 = -2*m, 3*m - r + 5*r - 9 = 0. Let s = -0.14 + 0.44. Which is the smallest value? (a) m (b) s (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 4, -1, -3, 10, -4.\nAnswer: -4, -3, -1, 4, 10, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 401720?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177130.\nAnswer: 2, 5, 17713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -68894.231\nAnswer: -20668.2693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (123\/5084)\/(-1 + (-274)\/(-268)) and 81\/22?\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6118 is divided by 120?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23677 is divided by 4148.\nAnswer: 2937","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 562147732 to the power of 1\/2, to the nearest integer?\nAnswer: 23710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)\/sqrt(5) + 4 + (sqrt(19) - (4 + (sqrt(19) - sqrt(19)*-3))) - (-5*(sqrt(1900) + 2) + -3))**2.\nAnswer: 1248*sqrt(19) + 43945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6330.916 kilometers in nanometers?\nAnswer: 6330916000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -88 - 90 - 449*z + 178 to the form i*z + n and give i.\nAnswer: -449","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(5 + -3)*20. Let q(o) = -d*o + 3 + 11*o + 2. Let r be q(-5). Solve 5*s - 5 = -r*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8*(-3 + (-2 - 27\/(-6)))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -133.99999831 - -134. What is n rounded to 7 dps?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/5)\/((-1)\/(-5)). Let x = -10 + 25. Let z = m + x. Does 3 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58245 - -0.29039.\nAnswer: 58245.29039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-81)\/(-324))\/((-5)\/440)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/3)\/(5\/(125\/5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a century in months?\nAnswer: 1650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 0.3, -219?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3818601722 to the nearest integer?\nAnswer: 1563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/4991 and 24\/1519?\nAnswer: 34937","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -253 + 409 = -10*k - 2*k for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/697410 and 37\/1927?\nAnswer: 32778270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*n**2 + 35990*n - 64764005 = 0. Calculate n.\nAnswer: 3599","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -u + 2328. Suppose -u - 1681 = -i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.06009, -2, -535, 0?\nAnswer: -535","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-2\/27))\/z**(-2\/5)*(z*z**(3\/2))\/z**10 assuming z is positive.\nAnswer: z**(-1627\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaixhtu. Give prob of sequence ita.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/98 + (-17314)\/1617 - 1\/3?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 - (42 - (-12844)\/(-304))\/(2*(-2)\/(-80)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 1 + 1 + 3 + -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 56693*n**2 - 9*n - 1394?\nAnswer: 113386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -138.\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 334, 632, 928, 1222?\n\"Answer: -a**2 + 301*a + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1505\/1290)\/(7\/(-4)). Which is the nearest to 0.1? (a) 30 (b) h (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 247593 divided by -2\nAnswer: -247593\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 5*a + 3. Let l be x(-3). Suppose -6*f = -3*q - 2*f + 90, f = 3*q - 90. Calculate the greatest common factor of q and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1562?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 932 is divided by 59?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -0.1. Let b = 0.22 + s. Let h = -0.02 + b. Is h bigger than -0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of y**5\/60 + 2*y**4\/3 + y**3\/2 + 8*y**2. Let b be q(-16). Let j(z) = -11*z**2 + b*z + 2*z - 6*z + 4 + 12*z**2. What is j(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = 23*t - 26655. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9526, -39148, -68770, -98392, -128014?\nAnswer: -157636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26.5485 - -3.\nAnswer: 29.5485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2322, -2332, -2342, -2352, -2362, -2372?\nAnswer: -2382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 317579336 to the power of 1\/3, to the nearest integer?\nAnswer: 682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*h + 954 = -41*h. Let g = 14 - h. Which is smaller: -36 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -51033443 or -51033444?\nAnswer: -51033443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.310703us in minutes?\nAnswer: 0.00000002184505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 + -10. Let y be (-18)\/(-3) - (-2 - -4). Solve 0 = -y*w + 6*w + 2*u - 6, -w + b*u = 3 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 886975123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -507 = 19*n - 32*n. What is the remainder when 181 is divided by n?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -332*u**3 + 183*u**3 + 148*u**3.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -74910529*b**6 + 219439456*b**2 wrt b?\nAnswer: -8989263480*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1086 + 1255. Solve 0 = 5*y + j - 159 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 16*p + 8 = 0. Let k(b) = 5*b**2 - 4*b - 13. Let x(v) = -3*v**2 + 2*v + 7. Let j(h) = -6*k(h) - 11*x(h). Give j(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10899850*n - 3*n**3 - 10899850*n.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1937636 + 18*p - 5*p + 1937644 + (0*p - 2*p + 3*p)*(-2 + 1 - 1).\nAnswer: 11*p + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 608 and 15.18.\nAnswer: 623.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -105 - -457. Suppose 3*l = -m + 88, -4*m + 4*l - l + d = 0. Calculate the remainder when m is divided by 24.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 86*c - 57*c + 290. Let r(g) = -g**2 - 10*g - 6. Determine r(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 194*l + 3787. Calculate p(22).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.94 + -0.06. Let f = 0 - z. Let s = 66765 - 66764. What is the nearest to s in f, 0.4, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -5*x - 9. Let a be w(-6). Find the common denominator of (-2144)\/(-252) + (-6)\/a and -47\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5*h - 35 + 6 = 0, -h = 5. Suppose 0 = 5*i + 2*x, 2*i + 2*x = -j*x - 16. Suppose -i*y + 25 = 3*y. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9028 = -605*f - 16987 for f.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2337 is divided by 385?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 15493\/5873?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1517616 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -101560, 37, -3, 0 in descending order.\nAnswer: 37, 0, -3, -101560","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 17961796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 1 + 83 - (2533 - 2524).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 255 and 4539?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 12*n + 13. What is the remainder when t(5) is divided by 24 + -1 + -7 + 6 + -2?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 9) in base 12?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2701 and 6475?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -23*y**3 + 13*y**2 + 185*y - 199. Determine q(1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 0 + 11*b + 16*b + 0 - 1 as p*b + y and give p.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-10)*12\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -54a7a5b5 - -1?\nAnswer: -54a7a5b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((sqrt(704) - sqrt(704)*-4) + -3)*4 + -2*((sqrt(704) - (sqrt(704) + sqrt(704) + sqrt(704) + -5 + sqrt(704) + -2 + sqrt(704))) + 0))**2.\nAnswer: -9408*sqrt(11) + 552377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4121, -5729, -8409, -12161?\nAnswer: -16985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2306, -18228, -61404, -145460, -284022?\nAnswer: -490716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (171330\/6 - -7)\/1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23a0a8 (base 12) in base 9?\nAnswer: -1068782","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 435 = -3*u, -2*x = -4*x + 3*u + 292. Calculate the highest common factor of 13 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 7:04 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -2*y - 6, 5*t - 3*y + y - 18 = 0. Solve -19 = t*b - 7 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*o**6 - 2293263*o**5 + 646372*o**2 - 3*o + 1?\nAnswer: 360*o**3 - 137595780*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 937.4 - -5134.\nAnswer: 6071.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 26\/5, -53705, -4, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 598\/11362 + 362\/(-19)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 476339 is divided by 1351?\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 520\/390*1\/2*(0 - 15). Let j(k) = -k**2 + 5*k - 2. Let t be j(2). Put 2, t, r in descending order.\nAnswer: t, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 4*i + 88 = 0, 0*l + 4*l - 112 = 4*i. Let u = l + -15. Calculate the greatest common factor of 80 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/10 and 43\/72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1397702386?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, a: 1, u: 2, h: 1, c: 3}. Give prob of picking 2 c and 1 u.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + -24 + (2 - 1) + -6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -57 - -59. Suppose 2*h = n*y - 164, h = 3*h. Suppose -2*f = -2*o + 54, -3*o + y = -2*f - 2. What is the greatest common factor of o and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2. Let i(w) = 7651*w + 3. Let t(n) = 15921754*n + 6244. Let f(b) = -6244*i(b) + 3*t(b). Determine f(l(h)).\nAnswer: 7582*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 152 and 240.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 PM and 7:29 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*b + 33*b - 22 = -5*q, q = 4*q + b - 18 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 4. Suppose 0 = 3*t - 5*g - 13, -5*t + v*g - 7*g = 3. Let f = 4 - 2. What is the remainder when f is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h - 81. Let m be l(-29). Calculate the remainder when 1 is divided by (12\/(-36))\/((-2)\/m).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 7217112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + h = 2*a - 3, 5*a - 16 = 4*h. Let r(k) = -47*k - 5 + 49*k + 116*k**2 - 115*k**2. Give r(a).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2. Let s(p) be the third derivative of 0 + 13\/24*p**4 + 154*p**2 + 0*p + 0*p**3. What is s(h(k))?\nAnswer: 13*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -493*l + 5. Let o(x) = -2*x**2. Determine d(o(a)).\nAnswer: 986*a**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 248377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 92000 and 1053600?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/13 (b) 2\/335 (c) 6.32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4096626?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 140957908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**3 - r**3 + r**3 + (3*r**2 - 3*r**2 - r**2)*(2 - 2 + 2*r) - 6*r**3 + 3*r**3 - 2*r**3.\nAnswer: -9*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 347 is divided by 317?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.8 + 1.2. Let w = -8 + o. Let a(p) = p**3 - 7*p**2 - p + 10. Let f be a(7). What is the third smallest value in w, 0, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -234 + 166. Let c = k - -68.054. Let x = 0.053916 - c. Round x to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 3:32 PM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1386 + -18270?\nAnswer: -19656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 286492713?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.01361 to two decimal places.\nAnswer: -1.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 16*k**2 + 365*k - 235. Determine d(-24).\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33840049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 16628 - -2\nAnswer: 16630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -1111, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1262559 - -15128557\/12. Let p = m - -1838. What is the common denominator of 158\/(-54) + 9\/18 and p?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**4 + 1145*q**3 + 64975*q**2 - 66125*q.\nAnswer: 5*q*(q - 1)*(q + 115)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17\/(884\/(-8)) - 140\/(-65)) + 28.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -369679, -369419, -369159, -368899?\nAnswer: -368639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -r + 3*r - 13, -2*r + 4*t = 2 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 - o**2 - o**2)*(0*o - 3*o + o) - 2*o**3 + 0*o**3 + 3*o**3.\nAnswer: 7*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.3, -0.03, 4, 2\/7?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 186, 188, 188, 186, 182, 176?\nAnswer: 168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 181244, 725018, 1631308, 2900114, 4531436, 6525274?\n\"Answer: 181258*l**2 - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of o**3\/3 - 3*o**2\/2 - 7*o + 2. Let f be s(5). What are the prime factors of (f + -1)\/((-8)\/(-44))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 342460652 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 900 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.9, -3, 18, 1 in increasing order.\nAnswer: -3, 0.9, 1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tpttpp. What is prob of sequence pptt?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(11)*2)**2 - (sqrt(275) + 1) - sqrt(88)\/((sqrt(40)*1)\/sqrt(5))) + ((0 + sqrt(275) - sqrt(275))*-1)**2*6 + -5.\nAnswer: -6*sqrt(11) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 0*p = -3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 + 12)*(-1 + 0 + 0)*(2*s**2 - 2 + 2).\nAnswer: -34*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22 or -30?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(220)\/sqrt(4)*-2 + sqrt(1375)*1))\/(-3*5*sqrt(66)\/sqrt(294)).\nAnswer: -21*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.18 less than -134.1823498?\nAnswer: -129.0023498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - 589b?\nAnswer: -589e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 2*h**2 - 28*h - 28. Calculate j(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -313 + 470. Let p = 54 + d. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.15 + 9.45. Let i = f + -10.6. Which is the second smallest value? (a) -2\/11 (b) i (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2. Let i(y) = 9*y**2 + 65*y - 2. Calculate i(j(b)).\nAnswer: 9*b**4 - 65*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -d - 24. Let t be (2 + (-1 - -5))*(-7 + 282\/36). Let y(l) = -2*l - 1. Let k(h) = -2*h - 1. Calculate d*k(p) + t*y(p).\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(5\/8)\/((z\/z**(2\/15))\/z)*((z\/(z\/(z**(1\/3)*z)))\/z)**(-1\/3) assuming z is positive.\nAnswer: z**(233\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/1799453 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/8 in 2, 0.21, 16\/3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 42063818*a**4 + 1032247*a**2 + 8*a.\nAnswer: 1009531632*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-82)\/123 - (-22)\/(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 786628, 0, -48 in descending order.\nAnswer: 786628, 0, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 2*q**2 - 4*q + 3. Let j be (-16)\/(-10) - 16\/(-40). Let k(o) = 2*o**2 - o**3 + j + 6*o**2 + 0*o**2 + 0. Let c be k(8). What is a(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 52\/9. Let b(t) = 68*t + 474. Let y be b(-7). Let c = -4 + 3. Sort c, n, y.\nAnswer: y, c, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3*x**2 - 14*x + 23. Let t be o(19). Suppose 175*h - 177*h + t = 0. What is the highest common divisor of h and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 419831164?\nAnswer: 2, 449, 233759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t - 1. Let d be b(10). What is the units digit of 105*(21\/d - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 6*k**2 - 3*k + 34. Is d(-8) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42334*m**5 + 177*m**3 - 3*m**2 + 9*m + 813994 wrt m?\nAnswer: 846680*m**3 + 1062*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3257870 (base 10) in base 14?\nAnswer: -60b3b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (203472\/(-6336))\/471*(-22)\/(-6)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnjvn. What is prob of picking 1 v and 2 n?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r**(-1\/19)\/r)\/r)*r**16)**(1\/2) assuming r is positive.\nAnswer: r**(181\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of 1\/20*b**5 + 0 - 1\/6*b**3 + 0*b**4 + 1\/2*b**2 + 3*b. Let t(y) = 6*y**3 - 5*y + 5. Give 5*i(v) - t(v).\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000324098765 to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*r = -55*r + 100*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*l - 4*l + 15 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 126818, 1015817, 3428828, 8127857, 15874910, 27431993, 43561112, 65024273?\n\"Answer: 127001*s**3 - 8*s - 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 67 - 113*p - 11 + 111*p to l + c*p and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106556 is divided by 53277.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 1130488266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2*a = 4, 1 = 2*d + 3*a + 6. Solve i - 2*u - 3 = 2, 4*i + d*u = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 42 = 7*v. Suppose -2536 = 4*p - 3232. Calculate the remainder when p is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3146 and 10340?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 1 - 3*t**2 + 0*t**2.\nAnswer: -3*t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1112\/4995 - -2\/4995. What is the second smallest value in 0.3, 0.27, a, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 2) + 7 + 60 + -43 + 10.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/6, 1\/7, 4\/7, 0?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*d + 29*d + 33 = 0. Let v = d + 35. Does 6 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14.32*182\nAnswer: -2606.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y = 12*y + 3*v - 45, -5*y = -2*v - 62. What is the smallest common multiple of 12 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.12 and -6371?\nAnswer: -13506.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q - 5. Let o(m) = m - 5. Let t be o(8). Suppose t*a + 9 = -12. Let b be u(a). Solve -15 = d - 4*s, -4*s + 1 = 3*d - b for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/(-9)*(-3)\/((-3)\/(-1))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31 + -49. Let z be r\/4*4\/12. Is -1 >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -11*w. Let m = 3 - w. Let y be (-1)\/6 + 91\/42. Solve 0 = -4*k - y*n, 3*k - n + m = 2*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 4. Suppose -h*l = -l. Let i(j) = j + 4*j + 42*j - 48*j + 14. What is i(l)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 10, -10, -52, -122, -226, -370?\nAnswer: -560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1421 + 5?\nAnswer: 1426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.04, 1787, 2?\nAnswer: 1787","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1062)\/(-59))\/(20\/2). Factor -3\/5*y + 3\/5*y**3 + 9\/5 - z*y**2.\nAnswer: 3*(y - 3)*(y - 1)*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*u - u = 45 - 75 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 9 + 1814*m - 418*m + 1 + 4.\nAnswer: 1396*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41 + 44. Suppose -h*x - 2*x = -335000. Round x to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -13, 2, 14 in decreasing order.\nAnswer: 14, 2, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 807052161.\nAnswer: 3, 499, 539113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 2*s + 28, 0 = -15*c + 11*c + s + 28. Put -8\/11, c, 2 in increasing order.\nAnswer: -8\/11, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 a when two letters picked without replacement from fffffffafffjfjjffa.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-15)\/6)\/((-6)\/12). Suppose 3 = -z, -b*g + 119 = -2*z - z. Is 11 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 126 and 1722?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**4\/5 - 4*z**3 - 79*z**2\/5 - 12*z = 0. What is z?\nAnswer: -15, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1236700509 * 0.5\nAnswer: -618350254.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.105 + 2126842.\nAnswer: 2126841.895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-19314)\/(-27)*(-6)\/(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 2208132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -704*h**2 + 1434*h**2 + 3*h - 2 - 2*h**3 + 127*h**4 - 734*h**2 to y*h + q + u*h**4 + w*h**2 + j*h**3 and give u.\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 194 = 2*x + 2*g, -3*x - 2*g - 283 = 0. Let c be (-87)\/(-18) - (5 + x\/18). Solve 4*u - m + 5*m = 8, c*u - 26 = 3*m for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 10 + 0)*(-2*w + 0*w + 5*w) - 21 + 13 - 12 - 4*w.\nAnswer: -28*w - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -21001212002100?\nAnswer: 21001212002022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 v when three letters picked without replacement from {z: 1, s: 2, d: 4, v: 2, y: 3}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -g**2\/2 - 2*g - 2. What are the prime factors of z(-8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5*j + 238 = 0, -r = -0*r - j - 218. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 442961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 11 = -3*h, -h - 4*h + x + 19 = 0. Suppose 0*z + z - 38 = -2*r, -h*r - 4*z + 52 = 0. Suppose 3*w - r = 40. Solve 0 = -4*g + 4 - w for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 151562?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 divided by 3?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6090 - 6077. What is the greatest common factor of i and 16913?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 92744767 to the nearest integer?\nAnswer: 9630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/3 (b) 38 (c) -3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l + 5276041*l**3 + 4*l - 5276048*l**3.\nAnswer: -7*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-6)\/24*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 18*r. Let l be q(5). Suppose 4*g = -5*v + 90, v + 3*g + l = 6*v. Calculate the greatest common factor of 27 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7033 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 483009 and 9210?\nAnswer: 1482837630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 828782250?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l + 10. Let p be a(-5). Find h such that 17*h**2 - p*h**2 + 3*h**4 - 4*h**3 + h**3 + 3*h**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 2. Suppose v = -b*v. Let m = 5 + v. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 992 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 548, 4743, 16210, 38591, 75528, 130663, 207638?\nAnswer: 310095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.667 + 4.307. What is the smallest value in 5, t, 3\/7, 7, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 97 + -4?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/12 and 178\/896*(4 - 17 - 3056\/(-240))?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 8*k**4 + 5*k**3 + 5*k - 17. Let a(u) = -4*u**4 - 3*u**3 - 3*u + 9. Let c(r) = -5*a(r) - 3*i(r). Find the first derivative of c(q) wrt q.\nAnswer: -16*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 3*c + 160 - 33, -5*m + 4*c = 260. Is (48\/m)\/(-3) - (-24813)\/7 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18 + 8 + 11 - 11*j in the form m + c*j and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 6) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3409504\/72668 - (-12)\/148?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*g**3*i + 26255*g**3 - 83*g**2 + 358*i wrt g.\nAnswer: -18*i + 157530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 10 = 6*g, 2 = -3*v - g. Let d(t) = -5 + 9 + 102*t - 103*t - t**3. Calculate d(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*u**3\/3 + 9959*u**2\/9 + 12206*u\/9 - 536\/3 = 0 for u.\nAnswer: -4\/3, 3\/25, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 + 426*a - 428.\nAnswer: 2*(a - 1)*(a + 214)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -1 + 2*w + 14 + 1 - w. Let y be s(-10). Suppose 2 = -3*q - 5*n, 0*q + 3*n = y*q - 7. What is the remainder when 3 is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 1. Let j = 31 - 92\/3. Which is the nearest to z? (a) j (b) -2\/3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -73 - -71. Let m(i) = 19*i**3 + 155*i**2 + 317*i + 139. Let y(h) = 10*h**3 + 78*h**2 + 158*h + 70. Let g(u) = j*m(u) + 5*y(u). Factor g(r).\nAnswer: 4*(r + 3)**2*(3*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 0.3 (c) -9917 (d) 1\/2 (e) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 10:55 PM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 479606, 1918434, 4316480, 7673744, 11990226, 17265926?\n\"Answer: 479609*l**2 + l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3404 + -0.053.\nAnswer: -3404.053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 7*u**2 - 5*u - 2. Let w be c(6). Solve -4 = -w*y - 4*x, -4*y - 2*x = x - 1 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3418908 divided by -6949?\nAnswer: -492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 851888 is divided by 373.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -237 = 11*c - 292 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1*n**(4\/5))**(-35) assuming n is positive.\nAnswer: n**(-63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -130031 - 2323120?\nAnswer: -3113211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, s: 1, l: 6, g: 5, i: 6}. What is prob of picking 2 i and 1 s?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/(-10))\/(8\/40). Let y(z) = z**2 + 2*z + 2. Let v be y(b). Suppose 2*w - 20 = -v*w. Solve -w*q = 3*a - 29, a = -0*a - 2*q + 11 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 2 - 6. Let p be ((-9)\/((-585)\/20))\/z. Let r be (-6)\/(-16)*6\/9. What is the nearest to r in 2\/3, 0.2, p?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2\/3 - 11213744*l\/3 + 11213740\/3.\nAnswer: 4*(l - 2803435)*(l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.37558 and -58.\nAnswer: -57.62442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4 + ((-2 + sqrt(117))*3)**2) + (1*-2*(sqrt(1872) + 1)*-5)**2.\nAnswer: 2724*sqrt(13) + 184045","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b**(1\/4)\/b*b*b))*b)**(-34)*((b*b**(-1)*b)\/b)**(2\/75) assuming b is positive.\nAnswer: b**(-153\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -m**5\/24 + 6*m**3 + 62. Let w(c) be the third derivative of l(c). Let r(u) = -17*u. Give r(w(v)).\nAnswer: 85*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 8 = -14. Suppose -3*u + 2 + 7 = 0. Suppose l = -5*o - 4, 2*l + z*o - 26 = -u*l. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2939426909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 4:01 PM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 357 by -1087.\nAnswer: -357\/1087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -271*x + 16360. Calculate v(65).\nAnswer: -1255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2557 - 0.07\nAnswer: 2556.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (7 - (-6)\/(-6) - 2) + -1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5 (b) -0.1 (c) 2 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - i - 2 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**2 - 2*x + 2. Give g(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1094346 is divided by 302.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1*sqrt(8) + sqrt(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 464755 is divided by 159.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)*4 - sqrt(7))**2 + sqrt(21)\/(sqrt(9)\/sqrt(3)).\nAnswer: sqrt(7) + 3703","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a kilogram in grams?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18308159 greater than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of -h**6\/360 + 19*h**5\/120 - 17*h**4\/12 + 11*h**3\/6 - 26*h**2. Let d(i) be the first derivative of a(i). Does 30 divide d(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of -11*i - 4\/5*i**5 + 5\/4*i**4 + 3 + 0*i**2 + 0*i**3. Find the third derivative of p(v) wrt v.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 951304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + (1 - (-4 + 0)). Suppose -2 = -d*m + 6. Let u = -31 - -45. Calculate the highest common divisor of m and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1539, 1539, 1541, 1545, 1551, 1559?\n\"Answer: n**2 - 3*n + 1541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 2262070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*v + 54 = -74. Solve -3*u = -2*s + 11, u + 0 = -v*s + 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l**3 + 802*l**2 + 5729*l - 6947. Give b(408).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**(-8)\/m*m*m**3\/m)\/(m*m*m**(-2\/5))**(3\/7) assuming m is positive.\nAnswer: m**(-164\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85 (base 10) to base 4.\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 25 + 11*o**2 - 13*o - 22*o**2 + 12*o**2. Let a be x(10). Let k = 2.03 - 0.03. What is the second biggest value in k, a, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27*a**2*k**4 + 64*a**2 - 981970*a*k + 1597467*k**4 wrt k.\nAnswer: 324*a**2*k**2 + 19169604*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.964 less than -515862473?\nAnswer: -515862489.964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3b + -2?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.01 + 0.05. Let y be (14 - 10) + (-5)\/(30\/26). Which is the nearest to y? (a) 2 (b) -4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.65 - 10683339.\nAnswer: -10683339.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**2 - 3*a + 3. Let f = 11 + -8. What is the tens digit of g(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -208 - -212. Let w(r) be the first derivative of 2*r**3\/3 + r**2\/2 - 2*r + 4. Does 6 divide w(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-14 - (16 + 0))\/(4\/(-502))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-7) + ((-254)\/(-7) - 3). Let h = f + -28. Suppose -h*t - 5*g = -5, -13 = -3*t + 5*t - 3*g. Let q(v) = -v**3 - v**2 - 3*v - 1. Give q(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -249.99778365 - 1340.00231305. Let z = w - -1590. What is z rounded to 6 dps?\nAnswer: -0.000097","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1814368)\/931728 - 4\/42) + 4\/94?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of t**4\/12 - t**2. Let r(c) = 122*c**2 + 80*c**2 - 126*c**2. Give r(m(d)).\nAnswer: 304*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 366987640 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -11*j + 135. Let t be h(13). Let z(k) = -k**2 - 9*k - 10. Calculate z(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 + 41. Suppose 0 = 4*b + z*q - 9*q + 20, b - 10 = -2*q. What is the third derivative of -18*s**2 + 0 - 15*s**4 + 0 + b*s**2 wrt s?\nAnswer: -360*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/12)\/(45\/36)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**4 + w**4 + 2*w**4 + (16*w**3 + 6*w**3 - 4*w**3)*(3*w - 6*w + 4*w)*(-1 + 2 + 0).\nAnswer: 19*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 2:16 AM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 795.344829 less than -0.0562?\nAnswer: -795.401029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(42\/(-5))*2\/(-5)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in -18, 0.7, 0, -0.6?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7806\/(-727259)*(-26)\/6.\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 12\/21 + 176\/231?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-324)\/135)\/(6556\/745)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 67 + 9*x**2 + x - 67 as r + v*x + n*x**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -2\/15, 0.05, -3, 0.1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1647 - 1483. Calculate the remainder when 191 is divided by l.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**3 - 6*x**2 + 6*x - 23. What is r(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28060715.\nAnswer: 5, 5612143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 476378 to the nearest integer?\nAnswer: 690","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-6 + 2) - -2 - -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -47, 2, 3, -9 in descending order.\nAnswer: 3, 2, -9, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 3) to base 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 324152302 to the power of 1\/3, to the nearest integer?\nAnswer: 687","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*r**3 - 8 + 110*r**3 - 60*r**3 + 8.\nAnswer: 10*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/1)\/((-6)\/9). Suppose 0 = 2*z + g - 13. Suppose -99 = -z*v - 3*c, 5*v - c = 2*c + 81. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 9*r. Let d(w) = -13*w**2 - 6. Let z(n) = 23*n**2 + 13. Let q(g) = -13*d(g) - 6*z(g). What is s(q(j))?\nAnswer: 279*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227 = -28*y - 249 for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*378\/(-27))\/(4\/(-2)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 210\/14*(-1848)\/660\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (18\/(-3) - -4) + 2. Suppose k = 105*h - 89*h - 144. Solve -6*d + 9*d + h = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 39780 = -7872. Suppose -3*i = -3, -3*i = 4*y - p - 1803. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -4*l + 50. Let j(z) = -3*z + 33. Let q(s) = -7*j(s) + 5*r(s). Let h be q(-17). What is the common denominator of (h + -1)*20\/(-110)*-6 and -87\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 10) to base 9\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -144 - -252. Let n = h + -107.99999957. Round n to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00232141352 rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23286?\nAnswer: 2, 3, 3881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 724 and 4.\nAnswer: 724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 2524833200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 - 4*d + 4. Let n be w(4). Let v(z) = 375 + 64*z - 366 - 65*z. What is v(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 557225290079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -40*h + 191 + 50*h**3 + 48*h**2 + 7\/2*h**4. Factor d(c).\nAnswer: 2*(c + 1)*(c + 10)*(7*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/20 - 22\/(-10). Suppose l + s*b = -5094, -3*l - 4*b = 7427 + 7861. Round l to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5250804 divided by 13533?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 9.65 and 8.\nAnswer: 17.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33 + 23. Let o be 2\/5 - 66\/g. Suppose 25 = 3*h + o. Solve 0 = -s + h*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -10. Determine t, given that -4\/7*t + 4\/7*t**3 + 2\/7*t**s + 0*t**2 - 2\/7 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/684 and 0*9\/81 + ((-95)\/740)\/1.\nAnswer: 25308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8596 and 1624337?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4d + -3?\nAnswer: 4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**5\/b*b\/b**(-5)*b*b**21\/b*b*b**(9\/2) assuming b is positive.\nAnswer: b**(73\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.82 * -0.1\nAnswer: -0.082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8838.787 millimeters in micrometers?\nAnswer: 8838787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 10*o**2 + 7*o - 31. Let g(b) = -7*b**2 - 4*b + 21. Let p(q) = 7*g(q) + 5*s(q). Factor p(j).\nAnswer: (j - 1)*(j + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 15 = g + 3*b, -2*b = 3*g + 15 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 43272 and 1254888.\nAnswer: 1254888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 686530 to the power of 1\/2, to the nearest integer?\nAnswer: 829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of 0 + 0*d**7 - d**2 - 1\/336*d**8 + 0*d**6 + 1\/60*d**5 + 0*d + 0*d**4 + 0*d**3. Find the third derivative of f(y) wrt y.\nAnswer: -60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44, -192, -438, -782, -1224, -1764?\nAnswer: -2402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -425 greater than -425?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -4460*x**2 + 8 + 8920*x**2 - x + x**4 - 4438*x**2 in the form w*x + c + l*x**3 + o*x**2 + n*x**4 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = d - 5, 3*d - 7 = 5*a - 3*a. Suppose d*t - 2*t = 3. Solve c + o = 6, -5*o + 6 = -t*o for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -0.026 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d. Let i(x) = 7208*x**2 - 193*x. Give k(i(q)).\nAnswer: -7208*q**2 + 193*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45156 and 1316979.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -534, -1068, -1600, -2130, -2658?\n\"Answer: j**2 - 537*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (b**2 - 3*b**2 + 0*b**2)*(1 - 2 + 2) - 2*b**2 - 5*b**2 + 5*b**2 + (-2 + 4 + 1)*(15*b**2 - 8*b**2 + 10*b**2) as c + m*b**2 + x*b and give m.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16499*h**3 - 117*h**2 - 7*h - 10?\nAnswer: 98994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -55*n**2 + 36*n + 35. Let g(w) = 28*w**2 - 18*w - 15. Give 7*g(d) + 3*x(d).\nAnswer: 31*d**2 - 18*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 412?\nAnswer: -416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) 2 (c) 19\/2 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m + 4 + 9 + 0)*(-2 + 2 + 9 + (-2 + 2 - 1)*(3 - 2 - 2) + 2 + 2 - 5).\nAnswer: 27*m + 117","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.445 - 3.2987. Let m = -1.166224 + n. Let p = m - -0.02. What is p rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f + 40*f**2 + 3*f + 0*f.\nAnswer: 40*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -4*g**3 + g**2 - 1. Let m be k(1). Let n be (m + 1)*(-2 - 61\/3). Let b = -52 + n. Solve 0*c = 3*c + b for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.48 + 0.08. Let v = -1 - d. Let r = -10 + 15. Which is the second smallest value? (a) r (b) 4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 6. What is the remainder when 71 is divided by w(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 3*n**3 - 7 - n**4 + 2 + n - n**3 + n**2 - 3*n**3. Let r(l) = -1. Let v = -18 + 13. Let q(c) = v*r(c) + w(c). Find h such that q(h) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 23119224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 5*z + 12 = 0, -5*c - 18*z = -15*z + 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q - 5*n - 2, -2*q - 2*n = q - 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) + sqrt(156)*-1*-4)\/(sqrt(768) + 1*sqrt(768)).\nAnswer: 5*sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 42050+-5.99\nAnswer: 42044.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 267338437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 289.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/(-63))\/(1*(-4)\/6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 1. Let n(r) = -13*r**3 - 3*r + 4*r + 6*r**3 + 9*r**3 - 1. Let g(v) = -n(v) - p(v). Let t(o) = o**3 - 2*o**2 + 3*o. What is 3*g(y) + t(y)?\nAnswer: -2*y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -419 = -102*c - 929 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 7*h**2 + 3*h + 8. Let l(d) = d**3 - 8*d**2 - 3*d - 9. Let w(n) = -6*l(n) - 7*x(n). Let f be w(3). Let p(j) = 5*j + 6. Does 19 divide p(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -544*w**2 - 543*w**2 - 3*w**3 + 1087*w**2 + 13*w**3.\nAnswer: 10*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -26*m - 36. Calculate the remainder when 222 is divided by l(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -233836 by -7.\nAnswer: 233836\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19.8 - 20. Is o at most -5\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 47 = 4*v, 2*v + 2 = s - v. Let r be s*(1 + 183\/(-21)). Suppose n - r = -5*l + 8, 4*l = 4. What is the remainder when n is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + x + 3. What are the prime factors of b(4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 34*c + 31*c - 17, 4*d - 2*c - 2 = 0. Let l be (-4)\/(-6) + (-101)\/3. Let x = d - l. List the prime factors of x.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -211 + 214. Let q = 0.2 - 2.5. Let j = 2 + q. Put 0.2, y, j in decreasing order.\nAnswer: y, 0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*p**2 - 3*p + 3*p)*(-7 + 7 + 3*p) + 5*p**3 - p**3 - p**3)*(5*p + 7*p + 0*p).\nAnswer: 180*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 329884 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -5 (c) -3.3691 (d) 5 (e) -0.0961\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0012087098302 rounded to 6 decimal places?\nAnswer: 0.001209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 19*g**2 + 17*g + 57. Calculate p(20).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 5304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1090 = -5*z + 4*c, -10 = 3*c + 5. List the prime factors of z.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 28 in 1\/3, -13, 0.1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5081.963l?\nAnswer: 5081963","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (13 - -5) - (2 + 2 - 6).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 2 a, and 1 v when four letters picked without replacement from {a: 2, c: 5, z: 5, v: 2, y: 5, d: 1}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 1 - 7 = 0. Let v = 9 + 62. Let a = 71 - v. Solve 4*m - 8 = a, 0*d = 2*d + t*m - 10 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 0, -2*g + 3*p + 4 = -0. Suppose -g*z = 2*z. Is 1\/(-1 + z)*-353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 20530 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -17 (b) 2\/9 (c) -1 (d) 2\/11 (e) 0.36\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/11940 and -121\/860.\nAnswer: 513420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/4 of a millennium?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, t: 3, y: 4, e: 1}. Give prob of picking 1 e, 1 y, 1 r, and 1 t.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2f6 (base 16) to base 2.\nAnswer: 1011110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttttttttaaattt. What is prob of picking 3 a?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 at most as big as 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4722, -3307, -1892, -477?\nAnswer: 938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6259?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -s**7\/840 - s**6\/40 - s**5\/15 - 5*s**4\/8 + 3*s**3 - 9. Let x(q) be the third derivative of y(q). Does 11 divide x(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 929548 and 9924?\nAnswer: 2788644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6\/1697 + 358097\/8485. Suppose 2*r = -0*r - 3*k - 87, -4*r + 3*k = 165. Let q = w + r. Which is greater: q or -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -6867*a + 6872*a + 2*p, -a - 2*p - 9 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v + 2*v - 4*v + (-2 - 2 + 3)*(-v + v - v) - 33061 + 16980*v + 33061 - 1 + 1 + v + (3*v - 4*v - v)*(-3 + 3 - 2) + 2*v + 2*v - 3*v.\nAnswer: 16985*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3 (b) 0.05 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.023 and -0.5578.\nAnswer: -0.5808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2. Let q(z) = -7 + 3*z**2 + 7 - 3*z. Let d(c) = -3*c**2 + 4*c. Let j(m) = -3*d(m) - 4*q(m). What is j(w(k))?\nAnswer: -3*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*s**2 - 16*s**2 - 16*s**2 + (-2*s**2 - 58*s + 58*s)*(4 - 2 - 1) to b*s**2 + u + c*s and give b.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001111011011000101100111 - -100?\nAnswer: -10001111011011000101100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - sqrt(243)) + 3 + sqrt(756)\/sqrt(7))**2 + (-4*(sqrt(108)*-2)\/sqrt(9))**2.\nAnswer: -12*sqrt(3) + 789","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -9 (c) -334.4 (d) -2\/81\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33990275945 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -4*v + 18, 4*v = 3*v + r + 7. Suppose -2*j - v*h = -23, 0 = -2*j + 2*h - 1 - 11. Let q(a) = 1. Let g(z) = z**3 - 1. Give j*g(u) - q(u).\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 3*x + 36 = 0, -417020*o - 54 = -417023*o - 9*x for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 721 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 558 minutes after 9:08 AM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/4)\/(3598\/448 - 8).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -4*u - 13. Let n be m(-15). Suppose -7*q = -n + 229. Let b = q - -32. Solve 2*l = -l + b for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14\/5 + 12\/5. What is the closest to c in -0.4, 3\/8, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63 + (-11 + 13 - -84).\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7313251.\nAnswer: 11, 67, 9923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 12) to base 6\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2\/23, 0.04, 1\/10, -0.3 in ascending order.\nAnswer: -3, -0.3, -2\/23, 0.04, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*6\/10 + (-406)\/(-10). Let -15*c**2 - 13*c - 4 - 3*c**4 + 2*c**4 + b*c**3 - 47*c**3 = 0. What is c?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8889352.\nAnswer: 2, 1111169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3380 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 4228*q**2 + 1 + 0.\nAnswer: 4228*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 119716\/6 - (-2 - (-10)\/((-330)\/(-121))) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 55 + 124*a - 249*a + 128*a in the form q*a + k and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 41*r**2 - 93*r - 4368. List the prime factors of i(-34).\nAnswer: 2, 5, 31, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6163 - 1270. Is n a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39 * -263\nAnswer: 10257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + 2*i**2 + 3*i + 5. Let h(q) = q. Let c(u) = -2*h(u) - j(u). Let y be c(-2). Suppose v = o, 3*o - y*o - v + 9 = 0. Does 3 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -760 + 1330. Suppose q = 134*v - 128*v. List the prime factors of v.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 78344790.999953 + -78344756. Let l = -35 + f. Round l to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652258144 to the power of 1\/3, to the nearest integer?\nAnswer: 867","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -3*r + 215, -6*a - r + 125 = -3*a. Is a\/(-4)*7\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -12*z**3 - 2*z**2 + 2*z - 1. Let m be k(1). Let g = m + 54. Let u be 6\/((-3)\/(-18)*84\/98). Which is bigger: g or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bg when two letters picked without replacement from {b: 2, k: 1, l: 1, z: 2, g: 1, f: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 184 and 1472?\nAnswer: 1472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.034715 to 3 dps.\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0*(-6)\/(-24))\/(1*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q**3 + 17*q**2 + 3*q + 305. What is h(10)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155143?\nAnswer: 167, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(80) - (sqrt(320) + -3).\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.76 + 0.36. What is the second biggest value in x, -0.1, -4\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25747 = 2*z + 3*k + 25852, k = 16*z + 15 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -5*d + 2*d. Let p(l) = -666 - 2*l + 666. What is the units digit of p(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3 - 48300*w**2 - 16005176*w.\nAnswer: -4*w*(w + 341)*(w + 11734)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**4 - 408*c**3 - 4572*c**2 - 13488*c - 11904 = 0. Calculate c.\nAnswer: -124, -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*d - 1275 + 1907 = -40*d for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/(3654\/(-145))*3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 634 and 978844963.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6098 - 12199\/2. What is the smallest value in s, -40.7, 0.3, 1?\nAnswer: -40.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21\/1052 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.38, -2\/5, 2 in increasing order.\nAnswer: -3, -2\/5, 0.38, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -0*c, 106*x + 6*c = 213*x - 102*x + 35 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -179*j**4 + 75*j**2 - 3.\nAnswer: -4296*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n. Let i be p(5). Let h = i - 5. Let d be -8*(217\/(-644) - 8\/(-92)). Solve -3*l = d*v + 8, h*l - 2*v + 22 = -v for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -16*d**2 - 4*d - 4. Let c(t) = -3*t**2 - t - 1. Let r(a) = 2*b(a) - 11*c(a). Determine r(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -98.04, -6, 0.3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -l**3\/3 + 7*l**2\/2 + 1300*l. Let s(a) = -1. Calculate -j(h) + 4*s(h).\nAnswer: 2*h - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16065 and 865.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1264211034 to the nearest integer?\nAnswer: 1081","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g. Let x(s) be the third derivative of -5*s**4\/24 - 17*s**2. Calculate a(x(j)).\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 496856 and 4844?\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 706 is divided by 101.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*r = 6, -3*k - r = -2*k - 6. Let y(l) = 5*l + 0*l + 0*l**2 - l**2. Let t be y(5). Sort t, 3, k in ascending order.\nAnswer: t, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 4 = 0, -z = o - 2*z + 4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 231 + -156. Calculate the remainder when j is divided by 31.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**3 + t**3 + 3*t**3 + 41*t**3 - 20*t**3 + 49*t**3 + (3*t**3 + t**3 - 2*t**3)*(1 + 0 + 0) + 2*t**3 + 0*t**3 + 0*t**3.\nAnswer: 78*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1483213072 less than -26?\nAnswer: -1483213098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 97 + 13. Calculate the greatest common factor of 50 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-1*sqrt(1815)*-5)\/((sqrt(20) - 3*sqrt(180))\/sqrt(4)*-4).\nAnswer: -275*sqrt(3)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44 - 48) + (-3 + 1 - -5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-6) - (-55)\/15. Solve k*n = -0*n - 20 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of -m**5\/20 + m**4\/4 - 4*m. What is the third derivative of r(d) wrt d?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113473 is divided by 359?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -7\/30*w**6 + 2*w - 12*w**2 - 10 - 1\/6*w**3 + 0*w**4 + 0*w**5. Differentiate g(z) with respect to z.\nAnswer: -28*z**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26747\/12 - -2229. Let k(u) be the third derivative of -1\/30*u**5 + 0*u - 4*u**2 + 1\/120*u**6 - 1\/6*u**3 + 0 - b*u**4. Give k(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.21 + -0.29. What is the biggest value in -3\/5, -1\/7, w?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -2 (c) -1\/3 (d) 3 (e) -84\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1054, 2637, 4738, 7357, 10494?\nAnswer: 14149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170 is divided by 26.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9\/83 + 47\/332. Which is the third smallest value? (a) 1\/5 (b) z (c) 2\/3 (d) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -9*x - 32. Give j(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 149 + -149 + 0 + -21 + 3\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -78.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + c + 10 = 3*b, -20 = -4*b + 4*c. Let k be (3 + -4 + b)*-2. Find p such that -8*p**2 + 23*p**5 - 5*p**4 - 3*p**4 - 25*p**5 - k*p - 12*p**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 2 = y + 2*z, -z = 5*y - 32. What is the tens digit of 60 + 1\/y*0?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*1.525\nAnswer: 1.525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lppl when four letters picked without replacement from lllpp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4.2 and -54212808?\nAnswer: 54212803.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-24))\/(5\/(-80)*(-8)\/15)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1239, 2478, 3717, 4956?\n\"Answer: 1239*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dyjahjd. What is prob of sequence hdyd?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2734 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -201*a**3 + 258*a?\nAnswer: -1206*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06044, 2, 0.2, 4 in increasing order.\nAnswer: 0.06044, 0.2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 5*t - 14, -8 = g - 3*t - 3. What is the smallest common multiple of g and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 11*r - 1. Let i be k(1). Let s(g) = -195*g**2 + 1578*g - 14. Let f be s(8). Calculate the greatest common factor of i and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 752 = y, 0 = -7*n + 3*n + 4. Let l = 678 - y. Is l > -75?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21 and 864850.\nAnswer: 2594550","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s**2. Let i(o) be the second derivative of o**4\/3 + 15*o. What is i(a(l))?\nAnswer: 16*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1)**(-1\/41)\/(m\/(m*m*m**(-1\/4)\/m))**29 assuming m is positive.\nAnswer: m**(-1193\/164)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9837, -19652, -29467, -39282?\n\"Answer: -9815*t - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 6*k**2 + 8. Let r be g(6). Let z(a) = 8 + 5*a - r*a**2 + a**3 - a**2 - 2*a**2. Does 12 divide z(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(-1482*b - 719 + 349 + 370 + 14555*b).\nAnswer: 13073*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + 8*u + 14. Give x(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 5*v = 61, -6*c + 5*c + 5*v + 21 = 0. Suppose -u + c = -19. Is 6 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = 2*n - 2*v + 34, -10 = -5*v. Is n\/(-15) + (-1281)\/(-15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37830?\nAnswer: 2, 3, 5, 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 79586 = -300086. Round b to the nearest one thousand.\nAnswer: 74000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-10)*(-87)\/2610.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 66 and 4\/(-66) + (-3061088)\/(-4488)?\nAnswer: 2046","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 49, 98, 145, 190, 233, 274?\n\"Answer: -t**2 + 52*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of 17*d**4\/4 + 2*d**3\/3 + 9*d**2 + 2*d - 78. Find the second derivative of w(k) wrt k.\nAnswer: 102*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 25 - 275341?\nAnswer: -275317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1045*q**2 - 297*q**2 - 613*q**2)*(-3*q**2 - 2*q**3 + 3*q**2).\nAnswer: 3910*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18196759 and 4179?\nAnswer: 1393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*z**2 - 6*z**3 + 13*z**3 + 157*z**2 - 8*z**3 as r + c*z + p*z**2 + n*z**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -189.3 rounded to the nearest integer?\nAnswer: -189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -17.045313 - -7187\nAnswer: 7169.954687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a - 18. What is the least common multiple of f(13) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(392)*2 - (sqrt(88)*-2)\/sqrt(11))\/(2*sqrt(16) - sqrt(44)\/(sqrt(44)\/sqrt(4))).\nAnswer: 16*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.37049 plus 2?\nAnswer: 1.62951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 + 0.2. Suppose -4*s - 19 = 3*q, 5*q - s = -6*s - 30. Let z = 10.18 - 9.98. Which is the biggest value? (a) q (b) z (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6167.658 kilometers in millimeters?\nAnswer: 6167658000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 186300 and 4761?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d + 62. Does 3 divide s(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 3*k**2 - 7*k + 6. Calculate y(-6).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**4*v*v**(6\/11))\/((v\/v**5)\/((v*v**6)\/v)))**(9\/8) assuming v is positive.\nAnswer: v**(1539\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 191626*b**3*o**2*w**2 - b**3*o*w**2 + 2*b**2*o*w - b*o*w**2 + 7*b*w**2 - 4*b*w wrt o?\nAnswer: 383252*b**3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(-10) + 9\/6. Which is the nearest to -1\/5? (a) 1 (b) 0 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7 (b) 0.4 (c) -16 (d) -24 (e) -1\/5 (f) 1.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 7. Suppose 5 - 3 = n. Calculate the remainder when p is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1636146266 + 0.503.\nAnswer: 1636146266.503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 0*m - 8*m + 6)*(100*m + 20*m + 303*m).\nAnswer: -3384*m**2 - 423*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1 + -26 + 29.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 9*o**2 - 20*o**4 + 14*o**2 + 16*o**4 + 2*o**3 - 2*o to the form k*o**4 + i*o**3 + y + c*o + b*o**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a microgram in nanograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 12*l**2 - 6*l - 51. Give a(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 373 - 371. Solve -z*g - 3*f = 11, -3*g = f - 2 + 8 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3206911l to millilitres.\nAnswer: 320.6911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - c - 5*r = -6, -3*c = r - 9. What is the lowest common multiple of c and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + -1 + 5)\/(2 + -4).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38893744500 rounded to the nearest 1000000?\nAnswer: 38894000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 5*f - 2. Let x(k) = -4*k + 2. Let h(j) = -3*r(j) - 4*x(j). Let v be h(4). Let y(o) = 3 - o + v*o + 3*o - o**2. Determine y(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -2*r + 7, -162*w + 165*w - 31 = 4*r. Suppose 5*n + 3*t = -t + 115, n = -4*t + 7. Sort 3, w, n in ascending order.\nAnswer: 3, w, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, l: 6, i: 1, z: 7}. What is prob of sequence bib?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of v**3 - 3*v**2\/2 + 3*v - 4. Let k be y(2). Let b = k - 6. Solve -4 = b*i + p + 2, 5*i = -p - 12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -942115*d**4 + 14530*d**2 - 10*d?\nAnswer: -22610760*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 10. Calculate the remainder when (1176\/16)\/((-2)\/w) is divided by -111*2*(-2)\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 16) to base 15\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 - -39. Let d = 107469 + -107406. What is the remainder when d is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-42))\/(1*12\/(-16))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -171*r + 3068. Let o be t(18). Sort 7, o, -5, 3 in descending order.\nAnswer: 7, 3, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v\/v**(-14)*v)*v)**(1\/12)*v*v**13*v**34)**48 assuming v is positive.\nAnswer: v**2244","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -237 (base 8) to base 10.\nAnswer: -159","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -210428 bigger than -210750?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1792 and 2708224?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 88092611 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*2457730.9\nAnswer: -1228865.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in ninety-three quarters of a millimeter?\nAnswer: 23250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2230989827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 173, 347, 521?\nAnswer: 695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -33077, -5 in decreasing order.\nAnswer: -5, -6, -33077","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-1\/3)*a\/(a**1\/a)*(a*(a\/(a**(-2\/19)\/a))\/a)\/(a**42*a) assuming a is positive.\nAnswer: a**(-2293\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 297?\nAnswer: -29.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 1\/7, 103036 in descending order.\nAnswer: 103036, 1\/5, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + -1 - (-43 - -51) - -6?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10132 (base 4) to base 5.\nAnswer: -2121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/25 (b) 8 (c) 0 (d) 2\/7 (e) 54615\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/7384 and -17\/1632148.\nAnswer: 42435848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9055 - -17136. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -5*f. Let p(y) = -9*y + 1. Let s(l) = 9*j(l) - 4*p(l). Let z(n) = 22*n + 10. Determine -12*s(o) - 5*z(o).\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from pzzppzyzppzppzzpzyp?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 438 and 18?\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*q - 12844 = 4*q. Suppose -13*k + q = -9*k. Let p = 2 + 11. What is the highest common factor of p and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j**4 - 3 + 18*j + 16*j + 21*j + j**3 - 62*j as r + q*j**3 + z*j + b*j**4 + p*j**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -j - 8 + 4*j - j + j + 2 - 2 + (0 - j + 0)*(1 - 5 + 3) in the form f + b*j and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3563701 to the power of 1\/3, to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -6 - (1 + 32\/14).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 <= -7\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -322 - -497. Is f a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 6*f**2 + 5*f - 8. Let j be r(-7). Let o = 8 - 5. Let s be -1 + 0 + o + 0. Solve -s*i = i - j for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1887)\/(-765) + (-15)\/9)\/((-40)\/1100)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1228080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -5*p + 29 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 79741610 to the nearest 10000.\nAnswer: 79740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*h - 29 = -3*j + 135*h, 0 = -7*j - 2*h - 17*h + 115 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -64 + 73, -2*g - k + 9827 = 0. What is the hundreds digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 2*s - 459. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v - 3*y = 7*v + 778, 3*y = 12. Suppose v - 65 = a. Is 10 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 415 is divided by 100?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -45*g. Let r(q) = 2*q. Let n(u) = -6*l(u) - 130*r(u). Let w(b) = -2*b**2. Calculate w(n(a)).\nAnswer: -200*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 834, 3243, 7228, 12789, 19926, 28639, 38928?\n\"Answer: 788*q**2 + 45*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tg when two letters picked without replacement from zgtptgggpj.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1177*c**2 - 12 + 1176*c**2 - 3535*c**2 + 1180*c**2.\nAnswer: -2*c**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + 51 - 0\/(-2). What is the greatest common factor of y and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2262 divided by 3?\nAnswer: 754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 77 and 353409?\nAnswer: 3887499","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -218416 and -0.5.\nAnswer: 109208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**1)**(-2\/19)\/((r*r*r\/(r\/(r**(3\/4)*r))*r)\/r**(-4)))**(-9) assuming r is positive.\nAnswer: r**(6129\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -8 - -9 - -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 152337, 304681, 457039, 609417, 761821, 914257, 1066731, 1219249?\nAnswer: 1371817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 32331.6ml?\nAnswer: 32.3316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*f**3 - 11*f**3 - 2*f**2 + 8*f**3 + f**3 to q*f + y*f**2 + m*f**3 + n and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -n**7\/105 - n**5\/20 - 3*n**2\/2 + 1. Let h(f) be the second derivative of a(f). What is the third derivative of h(x) wrt x?\nAnswer: -48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -47\/5 (b) 7.4 (c) -5 (d) -0.4 (e) 3 (f) -2\/17 (g) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 908 - 908.6872. What is s rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -103858*s - 55637 wrt s?\nAnswer: -103858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6*(0 - 2)*1. Let w be 4*(i\/60)\/(4\/10). Let u be 2*(w\/(-5) - 1). Which is bigger: -3 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/((((b*(b\/((b*b**(3\/8))\/b))\/b*b)\/b)\/b)\/b)*b*b**(3\/8)*b\/b**(3\/4)*b*b*b*b\/(b\/(b*b**(2\/3)*b)))**(5\/19) assuming b is positive.\nAnswer: b**(160\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4111, 8362, 12671, 17038, 21463, 25946, 30487?\nAnswer: 35086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100 + -1011101011?\nAnswer: -1100000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s - 55 = -1 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s + 34*s - 25155001 - 31420732 = 0. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hpoo when four letters picked without replacement from {h: 3, o: 2, s: 3, k: 10, p: 2}?\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u. Let f(t) = 7*t**2. Give f(i(z)).\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 519976.9 millilitres?\nAnswer: 519.9769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15401, 5507, -10991, -34099, -63823, -100169?\nAnswer: -143143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*a + 48 = 7*a - 7*b, 5*b + 45 = -5*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - -1)*(-24)\/(-2). Solve -4*n + 2*r = j, 5*n + 4*r + 15 = -r for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - (-4 + -27)) + 4. Suppose c - h = -5*c. Solve -c*v + 2*v = 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 2*o + 7 - 2, 2*g + 5*o = 31. Suppose g*z + 2355 = 8*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 54\/(-15) - 2\/5. Let q(v) = 3*v**2 - 4*v + 5. Let w be q(h). Suppose -5*m - w = -184. Is m a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 347854966.9999974 + -347854998. Let y = -31 - r. What is y rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.03192561 - 0.10142862. Let a = 0.0695 + o. What is a rounded to 7 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 10:01 AM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, 25, 23, -8, 4 in decreasing order.\nAnswer: 25, 23, 4, 1, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50 and 1600.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1053, -3568, -7761, -13632, -21181?\nAnswer: -30408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 14 = 5*d + w, d - w = -1. Let f be (14\/d)\/((-6)\/9). What is the greatest common divisor of 1 and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/((8\/(-26))\/2). Suppose -6*a = -w*a + 105. Does 11 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 418873 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/704 and -23\/12?\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(500) + 0 + sqrt(500))**2 - (sqrt(10)*1*3 + sqrt(10))\/sqrt(2)) + 4.\nAnswer: -4*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/6944 and -163\/30.\nAnswer: 104160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r\/(r**12\/r)))\/r)\/r**(-17))\/(r**1*r**(2\/5)) assuming r is positive.\nAnswer: r**(128\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -11*k**3 - 9*k**2 - 24*k - 9. Let u(p) = 5*p**3 + 4*p**2 + 11*p + 4. Calculate 4*g(s) + 9*u(s).\nAnswer: s**3 + 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2680*f = -4*u - 2685*f + 7, 11 = 3*u - 2*f for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2745 + 0.0481.\nAnswer: 0.3226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1166*d + 174 + 218 + 36 + 32 - 1174*d.\nAnswer: -8*d + 460","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1964, -926, -3812, -6694, -9572?\nAnswer: -12446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 0*n - 4 = 3*p, 5*n - 2*p + 28 = 0. Let y = n + 14. Does 8 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 273 = -5*c - 28, 2*c = 2. List the prime factors of g.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*y - 34*y = -41505. Suppose 17*c - y = 2*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2156)*2)\/sqrt(4).\nAnswer: 14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of 13*c**4\/12 - 5*c**3\/6 + 2*c**2. Is w(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34.9 - 35. Which is the nearest to 2\/7? (a) 0.5 (b) v (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 9, 6, 3, 0, -3, -6?\n\"Answer: -3*p + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**3 - q**2 + q**2 - q**4 + q**2 + 93*q - 17 - 95*q to the form h*q**3 + w*q**2 + l*q**4 + j + r*q and give j.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 15166.866 to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -8 + 21*a**2 + 9*a**3 - 5*a**4 - 18*a**2 + 4*a**4 + 4*a**4. Let x(h) = 0. Calculate h.\nAnswer: -2, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 547974606.\nAnswer: 2, 3, 107, 853543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -q + l - 12, q + 4*l = -16. Suppose w + q = -2. Which is greater: w or -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -3367*y**4\/6 - 82247*y**3\/6 - 112007*y**2\/6 - 33817*y\/6 - 115 = 0?\nAnswer: -23, -1, -15\/37, -2\/91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5427 is divided by 216.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7549 - 7553. Which is the fifth biggest value? (a) 3 (b) 4 (c) -19 (d) 1 (e) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6450)\/1720)\/((475\/(-480))\/(-19))\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 687?\nAnswer: 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 2*f = -4, 4*c = 4*f + 13 + 19 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 - 21*w - 20. Let i be x(-20). Suppose -12 = -k - i*k. What is the smallest common multiple of k and 22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.8 - 7. Let z = 0.5 - v. Suppose -2721*u + 2703*u - 18 = 0. Which is the smallest value? (a) u (b) -3 (c) 6\/5 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -234559*t**3 - 255048 wrt t?\nAnswer: -703677*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -0*b - 80. Let s be 1\/(-3) - b\/(-3). Suppose -27 - 43 = -s*g. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16\/13? (a) 42 (b) -0.16 (c) 1\/6 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1416 - 775. Suppose -357 = 3*l - 0*a - 5*a, 2*l = -a - 225. Let f = z + l. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7 + 34\/(-4) + 2. Factor c + 0 + p*c**2.\nAnswer: c*(c + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*z**3 - 16316*z + 16316*z.\nAnswer: 18*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 562770.9 centuries in months?\nAnswer: 675325080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of j**6\/120 - 7*j**5\/15 - 13*j**4\/12 - 49*j**3\/6 - j**2 + 49*j. Let z be l(29). Is -1 at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rp when two letters picked without replacement from szrzpsrrzzm?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.6 - -1. Let c = -0.9 + y. Let m = -2.04 + 0.04. What is the nearest to 1\/4 in m, c, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 6, c: 10, v: 4}. Give prob of sequence cbc.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-5)\/6*187*80\/(-2200).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**2 - 5*i**2 - 3*i**2)*(3 - 3 - i**3 - i**3 - 2*i + 2*i + (4 - 4 - 2*i)*(-3*i**2 + 6*i**2 - 5*i**2) - 3*i**3 + i**3 + i**3).\nAnswer: -5*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that t**4 + 74*t**2 - 2*t**3 + t**3 - t**3 - 73*t**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/35? (a) 0 (b) -0.2 (c) 89\/121 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**2 + 6*r - 1. Let f(y) = y + 3*y + 12 - 9*y + 4*y. Let v be f(8). Calculate h(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5988, -5997, -6012, -6033?\n\"Answer: -3*c**2 - 5985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(600)\/(sqrt(36)\/sqrt(3)))\/(sqrt(10) + (1*sqrt(30))\/sqrt(3) - sqrt(10))*4)**2.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 7*n**2 + 3*n. Determine j(-7).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 13 + -5 + -4 + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1599 by -3.\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174 + 8 = -15*q + 59. Let i = -7 + 11. Suppose -2*v = g - 112, -i*g = 2*v - 620 + 148. Calculate the greatest common divisor of g and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56018078287 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 869522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2042.47 - 1970. Let m = 72 - q. Let j = 0.491 + m. What is j rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1\/4, 0.4, 12?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6717214502?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 198676 divided by -49669\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/4*(-142786)\/(-4557)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*v - 2*z, -v - v - 9 = -5*z. Solve -v*b = 2*j - 2 + 4, -2*b + 24 = -5*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006833463 to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.43, 2\/7, 0.5 in descending order.\nAnswer: 0.5, 0.43, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4*y - 605 + 64 = 0, 2*o - 221 = -3*y. Suppose -22 = 2*p + 14. Let z = o + p. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2527*m**2\/3 + 397582*m + 944\/3.\nAnswer: (m + 472)*(2527*m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 343427456 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2171816*c - 4343627. Determine u(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 7*y**2 - 2. Let p(v) = 11*v**2 + 2*v - 1. Let j(t) = -22*t**2 - 5*t + 1. Let w(c) = -2*j(c) - 5*p(c). What is -8*b(l) - 5*w(l)?\nAnswer: -l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2*p - 1)*(-196*p + 344*p**2 + 199*p + 6772*p**3 - 344*p**2 + 5280*p**3) as h*p**4 + a*p**3 + o*p**2 + j*p + d and give h.\nAnswer: 24104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16.31 + -76.71. Which is greater: 5 or z?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 - 202211?\nAnswer: -202120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**3 + a**3 - 2*a**3 + (-a + 2*a + a)*(3*a + a + a)*(-3*a + 3024 - 2952 + 0*a) to u*a + k*a**3 + d + o*a**2 and give k.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 253 and 522422?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/4*48\/(-60))\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -875 - 193. Let f = -146 - t. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 y when four letters picked without replacement from yyyyayyayayyayyyyyyy.\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25679342?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*l**3 + 12*l**3 + 2*l**2 + 2*l**3 + 4*l - 1 - 2*l + 4*l**4 in the form c*l**3 + g*l**2 + t*l**4 + f*l + m and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-6\/11)*f)\/(f\/f**(1\/11)))\/(f*f*f*f**(2\/11))**(2\/13) assuming f is positive.\nAnswer: f**(-135\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/4 + 5*a\/2 - 75\/4.\nAnswer: (a - 5)*(a + 15)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 (base 15) in base 10?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4697 + -79850\/17. What is the nearest to -1 in 2\/11, 0.11, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*y**2 + 64*y**2 - 387557*y**3 - 28*y**2 + 387540*y**3.\nAnswer: -17*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 334856 is divided by 15220?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of 55 - 92\/3*m**3 - 69\/2*m**2 + 0*m. Find the second derivative of t(r) wrt r.\nAnswer: -184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160*v = -157*v + 1956000. What is v rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -252, -146, 30, 276, 592, 978, 1434?\n\"Answer: 35*r**2 + r - 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 89563701 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 617*b - 20367. Give o(33).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of 0*o**3 + 31\/2*o**2 + 0*o**4 + 0 - 3*o - 7\/5*o**5. Find the first derivative of t(u) wrt u.\nAnswer: -84*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 34*j + 6001. Give f(-177).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*n - 22 + 22)*(1 - 1 - 1) + 1 - 14*n + 11*n + 1.\nAnswer: -33*n + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 115*d**4 + 0*d**3 - 9397*d + d**3 + d**2 + 9398*d in the form j*d**2 + n*d**4 + o*d**3 + g + x*d and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4283645011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, -2, -2\/3, -981?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 35\/2301?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -317 and -0.5?\nAnswer: 158.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n + 1. Let l be t(3). Put -4, -2, l, 3 in decreasing order.\nAnswer: l, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of (-941)\/(-1) + (-3)\/(-11 - -8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 3*d - 3*q + 76 = 0, 2*d = -3*q + 44. Suppose 0 = 4*o - 2*c - d, o + 2*o = 3*c + 12. Suppose o*a - a - 9 = 0. Solve -x = a*x + 20 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 28705, 57402, 86099, 114796?\n\"Answer: 28697*f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + z + 115 = 0, -4*o - 19 = -5*z + 126. Suppose 2*k + 4 = 0, -3*v - v = 2*k + 84. Let r = v - o. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a decade in months?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15735 by 6.\nAnswer: -5245\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.01 + 0.11. Let l = j + -4.1. Let h = l + 1. Put -0.3, h, 0.5 in ascending order.\nAnswer: h, -0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 118 and (-245)\/(-42) + 1\/6.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6136972 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1894442 is divided by 46?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -141178 (base 10) in base 5?\nAnswer: -14004203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bulsbqbbhbsblsqql. What is prob of picking 1 q and 1 h?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80333 and 1474.\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**3\/v)\/v**4*(v\/(v**3\/v))\/(v*v**(-2\/3)))\/((v\/(v**2\/v))\/v**(-2\/15)*((v**1*v)\/v)**(4\/39)) assuming v is positive.\nAnswer: v**(-232\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -575 + 571.99. Let k = t + -0.99. Let p be (-2)\/(-21) - 200\/(-2310). Sort p, k, -3.\nAnswer: k, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 33 = 3*w + 2*w, -w + s = -9. Let l(i) = 2*i - 2. Let n be l(w). Solve 4*v - 26 = 3*t - n*t, 0 = 4*v - 4*t - 8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - (4\/6 - -2). Let l = 3717\/55 + -337\/5. Which is the closest to l? (a) v (b) 0.4 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 10:05 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-9))\/(6\/(-54)). Let i be (9\/6)\/(g\/4). Let d = i + -1. Solve 0 = 4*y - 5*h + d, -3*y = -0*y + h + 11 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11110 + 11110.0034425. What is g rounded to five dps?\nAnswer: 0.00344","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 a, and 2 r when four letters picked without replacement from oordrsoosorsoaoddm.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23705?\nAnswer: 5, 11, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 592 and 3107334.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a - 357 = 327. Let k = 277 - a. Let b = 324 - k. Does 8 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -3*q**2 - 8*q + 8. Let u(b) = -7*b**2 - 17*b + 15. Let p(l) = 5*t(l) - 2*u(l). Let i be p(-7). Suppose i*w - 9 = -0. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-6))\/((-5)\/60). Solve 4 = -h + 3*k, -3*h + b = -0*k - k for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(((-1053)\/26)\/(-27))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 23 + (12\/(-4) - 0). Let u(v) = -v**2 + 23*v - 33. Let w be u(d). Let k = w - 11. Solve 5*f + 9 = -n - k, n + 21 = -4*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4396411ml to litres.\nAnswer: 0.0004396411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 246*m - 1058. Let v be t(5). Calculate the greatest common divisor of v and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 n when two letters picked without replacement from {v: 4, f: 5, e: 3, l: 2, n: 5}?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -82.7, 98, -75?\nAnswer: 98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24 or -2233?\nAnswer: -2233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17287 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - 11*w - 33. What are the prime factors of l(25)?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -113 - -228. Let b = -113 + w. Solve b*f + 5 = -2*k + f, -k + 5 = 3*f for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (518\/(-105) + 4)*235\/(-329)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 256*i**3*z**3 - 55*i**3*z + 31093*i**2*z**3 wrt i?\nAnswer: 1536*z**3 - 330*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6197.52 years in centuries?\nAnswer: 61.9752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**3 - 4*c + 0*c**3 + 0*c**3 + 10*c**2 + 8*c**3. Let k(p) = -2*p**3 - 3*p**2 + p. Determine -3*g(m) - 10*k(m).\nAnswer: 2*m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 - 23. Sort m, 5, -4 in descending order.\nAnswer: 5, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 3*x - 14, -x - x = 3*o - 8. Suppose 4*y + 46 = 2*q, -3*y + 24 = q + 6. Suppose 6*b - 3 = q. What is the smallest common multiple of b and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*(-25)\/(-6)*3. Suppose -f + 3*f = 3*p - 10, -2*p = -5*f - x. Suppose 2*y - 4*l - 8 = p, 3*y + 3*l = -1 + 4. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1924, 1931, 1942, 1957, 1976, 1999?\nAnswer: 2026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3771921.\nAnswer: 3, 1257307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -11*s + 60 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 5) in base 15?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -13*c**2. Let n(t) be the first derivative of -5\/3*t**3 + 0*t**2 + 0*t + 200. Give n(b(z)).\nAnswer: -845*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1690 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1236535 (base 7) to base 12.\nAnswer: 79077","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + n = q + 132, -5*n + 2*q = -165. What is the remainder when n is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 2*k**4 - 254890*k**3 + 4077832*k**2 - 13252712*k + 12233184 = 0.\nAnswer: 2, 12, 127429","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -99 + 142 + -21 - 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -3*h. Suppose 2*x - 3*b = -0*b + 23, 2*x - 5*b - 33 = 0. Let f(s) be the third derivative of -s**2 - 1\/12*s**x + 0*s**3 + 0 + 0*s. Give u(f(r)).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2010 = -4*a. Let n be (-3 - -3)*(0 - 1). Suppose n = -l + 3*l - a. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -209421\/32 - -6545. Find the common denominator of (11\/(-110))\/((-1)\/(-11)) and g.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*o + 12 = 19*o. Solve -l + a = 4*l + 5, 0 = o*l + 2*a + 18 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -138 - -286. Calculate the remainder when t is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -298942*q - 1494725. Determine j(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5754 minus -10.06?\nAnswer: 8.4846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - 3562\/(-195))\/(5\/(-30))\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 51 (b) -5794\/11 (c) 11\/3 (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ghghhghhghghhhhhhh. What is prob of sequence ggh?\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -7*n - 1. Suppose q - 3*r = -9, -2*q + 7*r - 6 = 4*r. Suppose -u - 2 = 6*d - 5*d, 2 = -u - q*d. Is g(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -92 + 2ac4?\nAnswer: 2a32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -169 and 0.4?\nAnswer: -67.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 570 by -57.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 137 + -141. What are the prime factors of 4*(-2)\/z - -17?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -8, 1, 14?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -150, -126, -90, -36, 42, 150?\n\"Answer: y**3 + 17*y - 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d + 135. What is the remainder when q(38) is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 6*k**2 - k + 6. Let y be r(6). Let b be (1 - 11)*4\/(-8). Suppose -2*q + b + 3 = y. Is q a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d**2 + 23*d - 30. Let k(b) = -15*b**3 + b - 2. Let w be k(1). What are the prime factors of i(w)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.33, 4, 10, 0.1, -5 in descending order.\nAnswer: 10, 5, 4, 0.1, -0.33, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**2 - x + 43. Let n(f) = -f**3 + 9*f**2 + 2*f - 18. Let l be n(9). Is 8 a factor of b(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*(-10)\/(-25)*535. What is the greatest common divisor of c and 58?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345249981 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 487061459 and 4055?\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -15. Let t = z - 2. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5958 - -29646\/5. Let j = i + 29. Is j not equal to 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 814337.2 nanoseconds?\nAnswer: 814.3372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1210)\/33)\/11)\/(6\/9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 67557 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 - -19.26. Let k = w - 0.3. Let n = -0.06 + k. Sort 1, -5, n in decreasing order.\nAnswer: 1, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -98*b**2 + 296*b**2 - 96*b**2 + 192*b**2 + 265*b**2 in the form j*b**2 + a*b + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -5*g - 42. Let f be l(-9). Solve f = 2*b - b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-11311)\/10*9\/(-3). Let w = q + -3402. Calculate the common denominator of w and 10\/(-8)*(-231)\/(-55).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-62 - -44 - (-2 - -14)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v**2 - 108*v + 1729. Give b(-67).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 61426925 and 257993085.\nAnswer: 1289965425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 663?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -118 - -353\/3. What is the second smallest value in -2\/23, -0.1, b, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*v**5 + 4*v**5 + 17*v - 33*v wrt v?\nAnswer: 140*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1457299 is divided by 17?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*f + 21*f = 18670. Suppose -7*t + 9*t = 0, u - f = 4*t. Is u 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 1020, 1016, 1012, 1014, 1028, 1060, 1116, 1202?\nAnswer: 1324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2286 + 1460 - 7172 + 411 - 7094)*(-3*l + 6*l - 2*l + (2*l + 0*l + l)*(5 + 2 - 5)) in the form i*l + m and give i.\nAnswer: -102767","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 9*c**2 - 324*c - 1334. Calculate the remainder when 1717 is divided by m(-4).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -6*s + 127. Suppose 2*i = 14*d - 11*d - 48, 0 = 3*d + 3*i - 63. Determine l(d).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/(1*sqrt(6)) - -3*sqrt(468).\nAnswer: 19*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - ((-1 - -7) + 15)) + 12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1618?\nAnswer: 2, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6328, 12592, 18856, 25120?\n\"Answer: 6264*v + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 935 a factor of 577991755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.11 * -0.127954.\nAnswer: 0.26998294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 603383 to the nearest integer?\nAnswer: 777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.053 + -0.247. Put j, -0.15, 3, -3\/5 in decreasing order.\nAnswer: 3, -0.15, j, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -3*t + 0*t**3 - 1\/6*t**4 + 0*t**2 + 0. Let n(d) = d. Calculate b(n(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2708 - -2717. Solve -13*c = -12*c - 4*u - k, 5*u = -2*c - 8 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 90 (b) 2 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 304*j**2 - 56*j**4 - 304*j**2 + (-1 - 3 + 0)*(-j**4 + 6*j**4 - 11*j**4) as c*j**2 + q*j**3 + h*j**4 + o + z*j and give h.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -182 and -0.1?\nAnswer: 18.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.6024602 to 0 dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 PM and 11:50 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from maamamm.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5128.259 - 5120. Let g = 0.259 - l. Which is bigger: 14 or g?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91261 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 16) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -21 and 1.53.\nAnswer: -32.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -1\/23, 1.5, -2, 1\/5, -4?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*t**3 - 13160453*t - 20935734?\nAnswer: 9*t**2 - 13160453","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 54596 equal to -1516?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 9*s. Let m be v(9). Suppose m = 2*j - 3*j. Let c = j + 1. Solve -2*b + 5*u = -c - 6, -3*b - u - 15 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/((-8)\/28*(-14)\/40). Sort r, 3, 0, 2 in ascending order.\nAnswer: r, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(1377)*2 + 4).\nAnswer: -36*sqrt(17) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 5:03 AM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-30)\/r)**(-45))**(-21) assuming r is positive.\nAnswer: r**(-29295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -58421.4 to the nearest one hundred.\nAnswer: -58400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 + 4.7. Let n(t) = 2*t**2 + 3. Let z be n(3). Let q be ((-14)\/z)\/(1*-1). Which is the smallest value? (a) q (b) 4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -9*u**5\/40 + 7*u**4\/16 - u**3\/3 + u**2\/8 - 10*u. Find c, given that s(c) = 0.\nAnswer: 1\/3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2578?\nAnswer: 2, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-4)*3\/(-6). Let z = -34\/7 + 265\/56. Which is smaller: z or m?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -64\/5. Let f = -134 - -131. Which is the nearest to 2\/7? (a) f (b) s (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*r + 9 = 0. Solve i + 3*x = 2*x + r, 5*i - x = 15 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-41)\/g**(-4\/13) assuming g is positive.\nAnswer: g**(-529\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -18.5 and 66362900.2077.\nAnswer: 66362881.7077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l + 1. Let c(b) = 73*b + 69. Let w(k) = c(k) + 2*v(k). Find the first derivative of w(p) wrt p.\nAnswer: 75","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1313 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j + 1. Let r = 33 + -26. Is t(r) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2607, -1, 2246, 5 in ascending order.\nAnswer: -2607, -1, 5, 2246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2088 and 3007996?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 375873991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 63*c**2 + 127*c + 1210. Does 30 divide x(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9335 + 3104.5?\nAnswer: 3102.5665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**(-4\/5))*p*p**(-9))\/(((p*p\/(p*p*p**32))\/p)\/p**(-13)) assuming p is positive.\nAnswer: p**(64\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 165 - 247. Let n = 111375 + -111367. Calculate the least common multiple of a and n.\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = 84*a - 87*a + 5, 0 = 3*a - 5*m - 40 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 117818890.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.45857 + 0.13?\nAnswer: 0.58857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4326839639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 78*b + 10. Calculate z(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yymvlvvyivllmvi. What is prob of picking 1 m and 3 y?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(224)*2 + (sqrt(224)*1*3 - sqrt(224) - sqrt(224)))\/(-6*sqrt(800)*2*-4).\nAnswer: -7*sqrt(7)\/240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-1 + -5) - 2483\/208?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (6 + (-14 - 11))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {r: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 + 5 + 5*x)*(0*x + 3*x + x) in the form f + j*x + h*x**2 and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -5*b - 2*w + 2235, 0 = -5*w. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 638637907.\nAnswer: 3733, 171079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*k**4*n*y + 2*k**2*n*y - 2*k*n - n*y + 217*y wrt k.\nAnswer: 8*k**3*n*y + 4*k*n*y - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.5502 + 17.6498. Round s to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b = -6*a + 5*a + 38, -2*b + 2 = -5*a for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 8 = 3*l + 24, 3*c = -l + 2. Let v(b) be the first derivative of -1\/8*b**4 - 7\/20*b**5 + 1\/4*b**c + 7\/12*b**3 + 0*b + 2. Let v(r) = 0. Calculate r.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1389802*g**4 - 1245785*g.\nAnswer: 16677624*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1298 divide 358507856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 28, 169, 494, 1075, 1984, 3293, 5074?\n\"Answer: 12*l**3 + 20*l**2 - 3*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -22*l**2. Let d(s) = 9*s + 3. Let o(i) = 7*i + 2. Suppose -5*c = h + 4*h - 30, 15 = 5*c. Let n(m) = h*o(m) - 2*d(m). Determine b(n(w)).\nAnswer: -198*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -21, -16, -11, -6, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 2.3.\nAnswer: -9.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11e5b (base 15) to base 6.\nAnswer: -1120552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8749 + -61.4.\nAnswer: -8810.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125 = -19*w + 30 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20032 - -20032. Solve 3*k = 3*r + 18, 2*k = -b*k + 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by 235833.\nAnswer: -5\/78611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5\/30 - 5\/(-6)) + -4. Let f = -1.08 - -0.08. Which is the nearest to f? (a) s (b) 3\/4 (c) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - -5)\/(3\/69) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 344 and 66908?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -40 - -74. Does 9 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-24)\/(-15) + (-11656)\/8060. Let p = 0.25 + 0.05. Let z = -1.3 + p. Which is the closest to q? (a) 0.3 (b) -1\/4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -800 = 53*y - 800. Solve -11*d + 13*d + 14 = y for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -114241 + -4?\nAnswer: -114300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(30\/(-8)))\/(600\/12000).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/((-9)\/((-99)\/(-11)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2642 - 17327. Let t be ((-60)\/54*-3)\/(5\/w). What is t rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 1 - 2 - 6*f - 4. Let z(n) be the first derivative of -9*n**2 - 16*n - 32. Let v(c) = 7*y(c) - 2*z(c). Find the first derivative of v(s) wrt s.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i**3 + 4*i**3 + 3*i**3 + (3 - 3 + i**3)*(-3 + 1 + 0) - 34*i**3 + 350*i - 350*i + (-2*i + 5*i + 0*i)*(i + i**2 - i).\nAnswer: -30*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -27*t - t + 1 + 8*t - 24*t. Is j(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.9 - -0.1. Let z = -13 + 24. Suppose -4*q + 4*f = -2*q - 10, -4*q - f + z = 0. Which is the smallest value? (a) 2\/7 (b) s (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6943 (base 16) to base 5.\nAnswer: -1330242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a week in minutes?\nAnswer: 12096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*x**3 - 8*x**3 + x**3 - 2*x**2 wrt x?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.6593 times -0.07?\nAnswer: 0.186151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124 divided by 62.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z. Let y(m) = 43*m**2 - m. Calculate p(y(v)).\nAnswer: 43*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/9*z - 2\/9*z**2 - 2\/9.\nAnswer: -2*(z - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2792 (base 13) to base 16\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 + 26. Let u = 0.3 - -0.2. Which is the smallest value? (a) u (b) 0.3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -59669\/15 - -11440\/3. Let y = -170 - w. Find the common denominator of 4\/14 + 817\/(-42) and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42 - 41.9985. What is i rounded to 4 dps?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 5) to base 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 681633?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**3 + 32*p**2 + 32*p + 42. Let b be o(-15). What are the prime factors of (-4110)\/b*4\/8*-4?\nAnswer: 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 334683067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1612.4 + -1672. What is the third smallest value in 5, 1\/4, n?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 4*y + 17. Let x(h) = 132*h + 544. Let g(i) = -32*v(i) + x(i). Let s(a) = -1303*a**2. What is s(g(p))?\nAnswer: -20848*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 85, 65, 39, 7, -31, -75, -125?\nAnswer: -181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1455 = -42*g + 2169 for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 9*o**2 - 6*o. Let y be g(-7). Suppose -m + y = -2*d + 54, 2*m - d = 169. What is the highest common factor of 12 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -101.5247 - -0.0247. Let k = 102 + a. What is the smallest value in 10\/9, k, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142155 is divided by 3113?\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 46\/130 + 1\/(-5). Which is the second biggest value? (a) d (b) -5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/132 and 121\/11362.\nAnswer: 749892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 428, 435, 444, 455?\nAnswer: 468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*m = 184*m - 896. Let y(c) = c**2 - 6*c - 23. Determine y(m).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46332576 and 2448.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*j - t = 50*j + 1, 0 = 5*j - 2*t - 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 768 in 3\/2, -5, -0.05, -0.07?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 8. Is (-1 - m)\/((-2)\/4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*f - 32*f = -12635. Let b = -131 - f. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1534344 less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.28 + -231.201\nAnswer: -231.481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + p - 3. Let f = 8 - 11. Let r be y(f). Which is the biggest value? (a) 0 (b) -5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -i**3 + 425*i**2 + 604 wrt i.\nAnswer: -3*i**2 + 850*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (649\/(-33))\/(2 + (-17260)\/8628) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-44)\/12 - 2\/(-3). Let h(n) = -n**2 - 2*n - 2. Give h(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**2 + 14*a. Let r be u(-7). Suppose 2*z - 1186 - 42 = r. Let c = z - 412. List the prime factors of c.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*k + 101*k + i = -13, -2*k = i - 3. Solve k*n - 2*t = -24, -4*n + 235*t = 239*t for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (((-351)\/(-45) - -7) + -10)\/(3\/70). What is the greatest common divisor of 63 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -206, -1523, -5054, -11897, -23150, -39911?\nAnswer: -63278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 18*h - 701. What is u(39)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -633.8715 to the nearest 10.\nAnswer: -630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 70591 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 426 and 2134602?\nAnswer: 151556742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j - 1. Let t be a(-3). Suppose -t*f - 2*f + 8 = 0. Solve f*p**5 - 2*p**3 + 5*p**4 - 5*p**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a + 1. Let h = -62 + 67. Calculate the lowest common multiple of h and n(3).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 1. Let o = 23 - 24.9. Let p = -0.1 + o. Which is smaller: z or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 5) in base 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 9 + 1, v - 5 = d. Let r be v\/(((-1)\/(-1))\/1). Which is smaller: r or 3\/14?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 4:40 AM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 383920581?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.4 + -0.4. Let n = -1.1 + h. Which is the third biggest value? (a) -4 (b) 1\/5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (776\/(-228))\/((-8)\/(-12)) + 5. Which is the closest to -0.1? (a) -5 (b) 0.09 (c) -1 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1\/(5\/(-245))*-3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of -b**5\/12 - b**4\/24 - 4*b**3 - 6. Let n(r) be the third derivative of p(r). What is the tens digit of n(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -5144*q**3 + 12*q**2 - 6*q - 3. Let r(m) = -679005*m**3 + 1580*m**2 - 790*m - 395. Give 395*l(z) - 3*r(z).\nAnswer: 5135*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33 - 3. Let w be ((144\/d)\/4)\/((-6)\/(-20)). Suppose 2*j = -5*o + 89, -w*o + 3*j + 2*j = -91. Calculate the remainder when 93 is divided by o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/42*6\/(-9). Let g(p) be the first derivative of p**4\/4 - 4*p**3 - p**2\/2 + 12*p + 4. Let w be g(12). Is w < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, 0.07, 16?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 124613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/8 - 11\/24. Let a(l) = -l**3 - 33*l**2 + 377*l - 46. Let w be a(-42). What is the closest to c in -7, w, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-12) - (-93)\/18. Suppose -n*i + 77 = -53. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -24*d**3 - d**2 + 4*d + 5. Let s be -5 - (-3 + 15)\/(-4). Let n be r(s). Let g = n + 24. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zi when two letters picked without replacement from ziii.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 8 - 2*a - 5)*(-1318 - 1024 + 942).\nAnswer: 2800*a + 8400","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 7) + (1 - 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 968?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -1\/7, -246, 1\/2, -2\/5 in ascending order.\nAnswer: -246, -2\/5, -1\/4, -1\/7, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -28285 - 0.83126063?\nAnswer: -28285.83126063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2211002 (base 4) in base 10?\nAnswer: -10562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**3 - 61*w**2 + w + 61 = 0.\nAnswer: -61, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(1\/7)\/i**(-3\/8)*i\/i**(-1)*i**(-2\/15)*(i**(-1\/3)\/(i**(-3\/2)\/i))\/(i**(-4)\/(i*i*i*i\/(i*i\/(i*(i*i*i**(-3\/4))\/i*i)))) assuming i is positive.\nAnswer: i**(10753\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1734.0004106 - -1734. Round x to five decimal places.\nAnswer: -0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-3))\/(22\/(-99) + 0). Sort 1, -11, -5, -1, q in increasing order.\nAnswer: -11, -5, -1, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119907432?\nAnswer: 2, 3, 181, 3067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.063 - 0.163. Let k = b + 1.226. Suppose -4*s - 2*a = 0, 4*s + a = 3 - 1. Is k > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-28)\/(-12) - (-2002)\/(-777). Is 1 >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11149 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 15*d**2 + 41*d + 37. Let v be x(11). Let i(p) = p**3 - 5*p**2 + 5*p - 4. Give i(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 v when two letters picked without replacement from elogeoevvvvovvgve.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2288 - -39.10684.\nAnswer: 39.33564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6964416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.681111 litres to millilitres.\nAnswer: 681.111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29 + 56. Suppose b - d + 15 = 0. Calculate the remainder when 45 is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 66*u**2 + 27*u + 27. Let h(k) = 1. Let d(s) = 5*s**2 + 2*s - 2. Let b = 154 + -153. Let o(p) = b*d(p) + 4*h(p). Give -54*o(v) + 4*q(v).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.34 (b) 1 (c) -1.1 (d) -1\/4 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -42c2 (base 16) in base 9?\nAnswer: -25388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5112, -20860, -47276, -84354, -132088, -190472, -259500, -339166?\nAnswer: -429464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -511.\nAnswer: -5\/511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3 + 2*x - 3. Let j(y) = -195*y**2 - 3*y + 197*y**2 + 3*y. Calculate b(j(g)).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110001010 + 10?\nAnswer: -110001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.374 - 2.626. What is the biggest value in -19, p, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -374059, -374054, -374047, -374038, -374027, -374014, -373999?\nAnswer: -373982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99714489?\nAnswer: 3, 7, 19, 249911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -171 - -193. Find the second derivative of -34*f + 11*f + f**3 + g + 21*f - 6*f**2 + 4*f**3 wrt f.\nAnswer: 30*f - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -119.02353523 less than 0.1?\nAnswer: 119.12353523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3660.972m?\nAnswer: 3660972000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7749)\/(-216) + -34 + 2\/(-1). Which is the closest to 1? (a) -0.3 (b) -259 (c) -2\/9 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-21))\/(51*(-120)\/(-10710)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 8*m**2 + 6*m + 13. Suppose 17 = -4*v - 11. Let y be d(v). Suppose 0 = -0*w - 2*w. Solve -4*q - y = -w*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 341 + -90. Let j = 256 - o. Let f be 0 + ((-8)\/(-2) - 3). Sort f, -1, -4, j in descending order.\nAnswer: j, f, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -236033\nAnswer: -3\/236033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 17 = -2*l, l = -0*n + 5*n - 29. Suppose 0 = 4*x - n - 7. Suppose -x*i + 42 = -84. What is the greatest common factor of i and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -5*i + 81, 3*i + 0*l = 4*l + 52. Let p(y) = 2*y**2 + 42*y - 57. Let c be p(-23). Solve 2*m + 2*o = 4*m - i, 4*o + c = 5*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of -g**6\/360 + g**5\/15 - g**4\/24 - g**3\/3 + 2*g. Let n(h) be the second derivative of d(h). List the prime factors of n(7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -8*t + 16. Let m(o) = o + 12. Let u(i) = -b(i) - 2*m(i). Let c(n) = 2*n - 13. What is 16*c(x) - 5*u(x)?\nAnswer: 2*x - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**4\/4 + 105*r**3\/4 - 1053*r**2\/4 + 507*r\/4 + 6591.\nAnswer: -3*(r - 13)**3*(r + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**2 + 82*k + 89. Let f be r(-40). Is (-33)\/f*(-7 - 497\/7) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.09 (b) -42 (c) -3\/8 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1517*p**3 - 175747*p**2 + 175747*p**2 + (-2*p + p + 2*p)*(3*p**2 + 1 - 1) to m + r*p**2 + f*p**3 + k*p and give f.\nAnswer: -1514","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from yllliliillillliyi?\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8255 or -8258?\nAnswer: -8255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 9:08 PM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 4*b**2 - 4*b + 1. Let g be x(-3). Let v be (0 - (-1)\/g)*4. Let z be ((-1)\/6)\/(1\/(-4)). Which is bigger: z or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 78063232 and 1664.\nAnswer: 1664","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -0.759?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**2 + 2*i - 4. Let j be b(2). What is the greatest common divisor of j and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -4*m**2 - 102*m - 30. Let l(h) = 6*h**2 + 152*h + 44. Give -5*l(k) - 7*u(k).\nAnswer: -2*k**2 - 46*k - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2878*1428.\nAnswer: -410.9784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -17339, -34681, -52027, -69377, -86731, -104089, -121451?\n\"Answer: -2*w**2 - 17336*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 4 = 3*r - 3*i, -3*r + 2*i + 5 = 0. What is the common denominator of 1359\/(-468) - r\/4 and 27\/11?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 700 and 138404.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.34 times -0.5?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -5*p. Let k(d) be the first derivative of 0*d**2 - 1\/12*d**4 + 0*d**3 - 3*d + 3. Let h(y) be the first derivative of k(y). Give v(h(l)).\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-220)\/(-15))\/(-11)*(-21)\/(-28)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -12, -6578, -0.3?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11036 - -13?\nAnswer: -11023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1958703 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*((y\/((y*y\/(y\/(y\/(y*y**(-3)))*y))\/y))\/y*y*y*y)\/y)**(-17\/5) assuming y is positive.\nAnswer: y**(-17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = i + 2*b + 8, 4*i - 40 = -2*b. Suppose w = -w + i. Differentiate 0*m**w + 0*m**4 + m**4 - 2 with respect to m.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*i = -44*i + 104. Find the common denominator of (12 + (-1040)\/70)*(-22)\/i and 0 + 1 - (-83)\/(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 4 + 14. What is the second smallest value in -2, 14, q, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z - 8*z + 5*z. Let n(f) = 9*f**2. Give n(j(l)).\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 102 + -18. Let h = w - 49. Suppose -4*m - 42 = -2*b, -2*b + 3*m - h = -4*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2517, -5037, -7559, -10083, -12609, -15137?\n\"Answer: -i**2 - 2517*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -9*f - 7*i + 6*i, 40 = f + 5*i. What is the remainder when f is divided by 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79089961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -213*f - 8. Let u be y(-4). Suppose -59*z + 55*z = -u. List the prime factors of z.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1001, -2006, -3013, -4022, -5033?\n\"Answer: -b**2 - 1002*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + l**2 - l - 2. Let n be o(0). Let s(z) = z**3 + 2*z**2 - 4*z + 1. Let t be s(-3). Let y = n + t. Solve y*b = 10 - 2 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -9. Let s = -8.5 + m. Which is the closest to -1? (a) 5 (b) s (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**2 + 12*b - 48. Let u be h(-9). Sort -5, 4, 2, u in ascending order.\nAnswer: -5, 2, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + 12*i**2 - 10*i - 8. Let m be z(11). Let g(l) = -l + 5. Calculate g(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -154550*n**3 + 74944*n wrt n?\nAnswer: -927300*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**4\/9 - 126934*s**3\/3 - 8056120178*s**2\/3 - 511297779337126*s\/9.\nAnswer: -2*s*(s + 63467)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0021706 rounded to 5 decimal places?\nAnswer: 0.00217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + 6*x + 68. Let c(h) = -41*h**2. Give z(c(d)).\nAnswer: 1681*d**4 - 246*d**2 + 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 26 + i + 52 + 120 - 19*i. Let y be l(11). Find r, given that -r**2 + y - 4\/7*r = 0.\nAnswer: -4\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 4*p + 113 = -0*q, 2 = p. Suppose 33 = 36*i - 33*i. Calculate the remainder when q is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 542 - 532. What is the remainder when 457 is divided by (9 + (-60)\/l)*46\/3?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 101878700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5966 - -8853. Suppose 228 + q = 5*x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12980000 rounded to the nearest one hundred thousand?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q - 2*q + 4*q)*(3 - 2 - 2) + (-6 - 1 + 0)*(0*q + q + 0*q) + q + q + 3*q + q - 5 + 5 + (2*q + 2 - 2)*(0 - 3 + 1) in the form p*q + b and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4182669, 8365319, 12547969, 16730619?\nAnswer: 20913269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/7))**23\/(k\/k**3*k\/(k\/(k*k**(3\/8)*k))) assuming k is positive.\nAnswer: k**(347\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -35586856626 minus 0.12?\nAnswer: -35586856626.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/13935? (a) 0.1 (b) 3 (c) 4\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 3.2. Let y = 1660 - 1659. What is the second biggest value in 0.1, y, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50720.7 centuries to decades.\nAnswer: 507207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*t + 2123 = -68*t - 85*t for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from suvcoooossv. Give prob of picking 1 u and 2 v.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -18 + 0*y**3 - 17*y**2 - 3*y**3 + 5*y**3 + 3*y**2 + 30*y = 0?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -132203 - -11?\nAnswer: -132132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b**3*o - 548*b**3 + 89*b**2*o**2 with respect to o.\nAnswer: -b**3 + 178*b**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 - ((-266)\/(-42))\/(4\/(-62316)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -139*s + 3089. Determine d(22).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 PM and 7:58 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5\/4, -2\/5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -59012 + -1\nAnswer: -59013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 6 + 15 - 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 2*m + 2*f, -5*m - f + 7 = 3 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 32123324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 304 and 231608?\nAnswer: 8801104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -1474*c + 4375. Let z be m(14). Are z and -16261 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 5*d**3 + 65*d**2 + 220*d + 160 = 0.\nAnswer: -8, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - (1 - 1771\/1773). Let i = t - -1281883\/3546. Let q = i + -2989\/8. What is the common denominator of q and -111\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-224)*(-672)\/64?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 13, 27, 47, 73, 105?\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 875 and 100.\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 12)\/(-4 + 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -6*h**2 + 2. Let m be l(-5). Let k = m - -106. Let q be (k\/9 + 1)*6. Round q to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 24*j**2. Let t be n(24). Let c be 1 + 4\/6*3. Suppose -c*u - 4 = 4*v, u = -u + v + 1. Solve u*z + 5*z = t for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, -3, -4, -19, -2, -107.\nAnswer: -107, -19, -4, -3, -2, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -27 (b) 8 (c) 3\/4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-34318)\/(-8) - (-30)\/24 - (0 - 1) a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0050423102 rounded to seven decimal places?\nAnswer: -0.0050423","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = c + 24. Let q(l) = l**2 - 2*l + 9. Let b be q(c). Suppose 5*s - 63 = -4*m, -3*s = -0*s + 4*m - b. Is 15 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 12 + 2*z)*(z - z - z)*(3 + 1 - 5 + (8 + 5 - 6)*(-2 + 3 + 1) + 1 + 3 - 6).\nAnswer: -22*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(-5*6\/(-15)). Suppose h + 4*j - j - 15 = d, 4*h + 5 = j. Suppose h = -2*p - 18 + 52. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124*i**2 - 52 - 124*i**2 - i**3.\nAnswer: -i**3 - 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*n**2 + 37*n**2 - 4*n**2 + 12*n**2 - 19*n**2.\nAnswer: 46*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.5 - -0.5. Let g(t) = t**2 - t - 1. Let d be g(-1). Let r be 1*-3 - 4*1\/(-4). Put l, d, r in increasing order.\nAnswer: r, d, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 8*q**2 - 7*q - 7. Calculate the remainder when 26 is divided by x(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_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: What is 16394000 rounded to the nearest 100000?\nAnswer: 16400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39118 - 586772\/15. Let x be (-4)\/(1\/(-2 - -1)). Suppose -x*i = 0, -3*i = -0*s + 5*s. Which is the third biggest value? (a) -7 (b) m (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 13\/4 of a millisecond?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45 + -33. Suppose 3*z + 2*b = -0*z + t, 3*z = 3*b + 12. Suppose -3*w = w + 4, -z*p - 3*w + 1 = 0. Which is smaller: -2\/119 or p?\nAnswer: -2\/119","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 156*-2441.7.\nAnswer: -380905.2","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is -8cae9 (base 15) in base 9?\nAnswer: -752443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that t**4 + 166*t**3 - 1937*t**2 + 1770*t = 0.\nAnswer: -177, 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 31023*a - 46534490. What is t(1500)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (35 - 68) + -12 + 4?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*l**2 - 9*l**2 - 11*l**2)*(3 + 14 + 1) - 3*l**2 + 0*l + 0*l to the form w + x*l**2 + p*l and give x.\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 0*u + 2 = u, 0 = 4*i - 4*u + 8. Solve i*n + 4*n = 20 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l - 16*l + 126 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2248000900 plus 5?\nAnswer: -2248000895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -24\/42005 and -32\/45.\nAnswer: 378045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (432\/(-120))\/((-2)\/195). Are b and 351 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0112538 to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -672716672 and 0.008.\nAnswer: -672716671.992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilogram in grams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {x: 13, p: 6}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -82*p**4 - 3*p**3 - 2*p + 258. Let c(v) = -83*v**4 - 4*v**3 - 3*v + 257. Let t(y) = 4*c(y) - 5*h(y). Find the second derivative of t(s) wrt s.\nAnswer: 936*s**2 - 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 38\/(-8) + (-9)\/(-12). Let g(z) = -z**3 - 5*z**2 - 5*z - 9. Let o be g(x). Which is the nearest to 0? (a) -0.2 (b) 3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 7*q + 194. What is a(-40)?\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 4*r = -2, -2*r - 2 = -c - 0. Let k be (-80)\/200*c*(-6)\/(-8). Is 1 bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 115824 and 3256752?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 3:20 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2831754*k**3 - 2*k**2 + 77*k + 347.\nAnswer: 16990524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 10:15 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3815 and 17113?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rv when two letters picked without replacement from {i: 3, k: 3, l: 8, v: 4, r: 1}.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-15)*(n\/(n*(n**(1\/3)*n)\/n*n))\/n)\/((n**(-7)*n)\/(n\/((n\/n**15)\/n))) assuming n is positive.\nAnswer: n**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 4356062?\nAnswer: 4356061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*y - 10 = 11*j - 8*j - 12*y, -3 = -y + 2 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.03 + -1.97. Let r = g - -3. Let c = 1.7 + -2. What is the biggest value in c, r, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -748?\nAnswer: -754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 10*p**2 - 2*p - 1. Does 11 divide z(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**2 + 6*l**2 - l**2 - 3)*(9*l - 15*l + 32*l + 3).\nAnswer: 104*l**3 + 12*l**2 - 78*l - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 12:26 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/11, 78, 0.05, -2 in descending order.\nAnswer: 78, 0.05, -1\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.103, 13, -35, 27, 3 in decreasing order.\nAnswer: 27, 13, 3, -0.103, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 2, 3\/2, -37\/11 in ascending order.\nAnswer: -37\/11, -0.1, 3\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/12 - 15\/(-45). Sort -0.2, 7, l in ascending order.\nAnswer: l, -0.2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 226.2491 millimeters in nanometers?\nAnswer: 226249100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 9*j + 9. Let u be v(-4). Let p be (u\/(-36))\/((-3)\/2). Which is the third smallest value? (a) -3\/8 (b) p (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6961 divided by 12767?\nAnswer: -6961\/12767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 81 + -16. Suppose 5*d - x = -0*d. List the prime factors of d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 655797*g**2*w + 289*g**2 + 161219*g + 28*w wrt w.\nAnswer: 655797*g**2 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - (3 + -2 - 7). Suppose -2*t - 3*t = -y + 61, -4*y + 134 = 2*t. Let k = y - 26. Solve u = p*u + k for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1, -187, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 - s**2 + 2*s**2 - 9*s**2 + 6 to i + j*s + r*s**2 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 172848659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -9*c - 13. Let n be u(-2). Let p be (-54)\/(-2) + (n + -2 - 3). Is p at least 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 2*q = 114, 0 = 3*u + 19*q - 21*q - 61. What is the highest common factor of 45 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -7 + 3 + -1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*l = 72*l + 2511200. Round l to the nearest ten thousand.\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/40 and 37\/1456?\nAnswer: 7280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 5*w**2 + 4*w. Let r be h(-4). Suppose 3*y - 632 - 532 = r. Suppose 5*g = -2*c + 483, -7*g - 2*c = -3*g - y. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 15) to base 12\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 106.6 - 103.6. Which is the nearest to -0.1? (a) 2\/13 (b) 21 (c) f (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5*o = -16 - 1, 0 = 3*u - 2*o. Let y(t) = -u - t - 7*t + 4. Let l(p) be the first derivative of 7*p**2\/2 - 2*p - 1. What is -6*l(h) - 5*y(h)?\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1 + 0)*-3 + 33?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-seven halves of a decade?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 0 + 4 + 15964*u.\nAnswer: 15964*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/10 - 24888\/(-80). Let y be (24\/10)\/((-3)\/(-10)). Suppose -m = -y*r + 529. Calculate the remainder when r is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17452 is divided by 39.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*f + 177*f - 52*f - 40*f.\nAnswer: 32*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 2*u - 6*u + 158, 2*u - 74 = 2*b. Suppose 5*w + 0*w = -140. Let p = u + w. Does 14 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 8. Are -4\/3 and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 0.35 (b) -0.1 (c) 2.4 (d) -2 (e) -0.4 (f) -1\/5 (g) 13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 19, 79, 155, 253, 379, 539, 739, 985?\n\"Answer: m**3 + 2*m**2 + 47*m - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1344*z**6 + 2*z**5 + 5*z**2 - 105*z wrt z.\nAnswer: -161280*z**3 + 120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 58396 and 8.\nAnswer: 116792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -1\/4*d**4 - 9\/20*d**5 + d**3 + 0*d**2 + 15*d + 1\/14*d**7 + 0 + 1\/10*d**6. Factor z(g).\nAnswer: 3*g*(g - 1)**2*(g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -173 greater than or equal to -120?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -27. Let t(r) = -r + 106. Let m(d) = 2*d - 223. Let f(w) = 12*m(w) + 25*t(w). Give 2*f(l) - 3*j(l).\nAnswer: -2*l + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - 7. Let c be 3 + 1\/((-4)\/i). What is the third derivative of -7*w**2 + c*w**6 + 227*w**5 - 227*w**5 wrt w?\nAnswer: 720*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15241 (base 12) to base 13.\nAnswer: -106a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -17\/9644 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 9*i**2 + 5*i - 8. Let j(g) = 6*g**2 + 3*g - 5. Suppose 4*d = 3*m - 5, 5*d = 5*m + 7*d + 35. Let f = -3 + m. Calculate f*j(t) + 5*h(t).\nAnswer: -3*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41 - 22. Suppose x + 4 = f. List the prime factors of (x\/(-1))\/((-9)\/6).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-35)\/21*1*-3. Suppose 190 = s*m - 6*i + i, -8 = 2*i. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*v + 102 = -38 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7469 is divided by 220.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 + 29. Suppose 0*m + i*m - 96 = 0. Is m a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**6\/f)**2*(f\/(f\/(f**(-14)\/f)))\/f*f*(f*f**(-3\/17))\/f assuming f is positive.\nAnswer: f**(-88\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -85850711, 0, -2.\nAnswer: -85850711, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -223 - -200.3. Let y = -24 - x. What is y rounded to 0 dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -22. Let b(r) = 6*r + 1. Let v be b(1). Suppose l - 8 = -l - 3*k, -5*l + v = k. Calculate the lowest common multiple of i and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - -7 - -56) + (12 + -15 - -9)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, a: 5, e: 11}. Give prob of sequence iee.\nAnswer: 11\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**6)\/q**(-1)*(q\/q**(-29))\/(q**(-12)\/q))**(-2\/63) assuming q is positive.\nAnswer: q**(-34\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2. Let b(l) = -550657*l. Give b(d(f)).\nAnswer: 550657*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 1157*n - 22377. Determine t(19).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00102 rounded to 4 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 168399.2 centimeters?\nAnswer: 1683992000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 83037?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 340.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1188, 4376, 9566, 16758?\nAnswer: 25952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -44 + 82 + -30 - 32?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55340 is divided by 428.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((3*sqrt(85))\/sqrt(5) + sqrt(17) + 3*sqrt(1088) + -3))**2.\nAnswer: -672*sqrt(17) + 53348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 2*p = -3*p - 8, 3*j + p = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 21542598, 43085298, 64628000, 86170704, 107713410?\n\"Answer: q**2 + 21542697*q - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -13*c. Let l(v) = 2312*v**2 + 27. Calculate n(l(s)).\nAnswer: -30056*s**2 - 351","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-2) + 6\/(-12) - 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4456810 to the power of 1\/3, to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 times 2787?\nAnswer: 2229.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159 is divided by 41.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w**4\/11 - 2322*w**3\/11 + 220398*w**2\/11 - 213462*w\/11 - 436188\/11 = 0.\nAnswer: -1, 2, 163, 223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 20*v - 569. Let j be o(29). Solve -11*w - 11 = j for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -60716565 or -60716563?\nAnswer: -60716565","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of a**4\/12 + 7*a. Let m(v) = 8*v**2 - 7*v. Let c(h) = -7*h**2 + 6*h. Let r(s) = -7*c(s) - 6*m(s). Determine r(x(n)).\nAnswer: n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -n**5\/20 - 11*n**4\/12 - 8*n**3\/3 - 9*n**2\/2 - 3*n. Let m be t(-7). Let q = -65 - m. Is 12 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -54416, 2\/5, 5, 6, 1, 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 8941712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 3) + (18 - 17)*6. Let a(r) = r**2 + 10*r + 8. Let f be a(-10). Solve -20 = -f*j + v*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 239438734?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 8 = 0, 4*x - 296 = -4*j + 3*j. Suppose -6*v + x = -v. What is the least common multiple of v and 27?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -126, -603, -1764, -3951, -7506?\nAnswer: -12771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.14 (b) -5.7 (c) -0.4 (d) 11 (e) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 263719.7ml in litres?\nAnswer: 263.7197","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 + 22.9. What is the nearest to x in 0.2, 2\/19, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 250 - -108. Let r = h - 116. What are the prime factors of r?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d + 8*d = 0. Suppose -6 + d = -s. Find the third derivative of -4*u**5 + 5*u**5 + 0*u**5 - s*u**2 - u**2 wrt u.\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/184? (a) 0.061 (b) -0.4 (c) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1976)\/39*(-5 + (-26)\/8). Calculate the highest common factor of 304 and m.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*b**3*d*q + 2*b**3*q - 28*b**2 - 2*b*d*q + 13*b*d + 2*b*q + 41*q wrt b.\nAnswer: 54*b*d*q + 12*b*q - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2*r**2\/9 + 1348*r\/3 + 227138 = 0.\nAnswer: -1011","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5194083726?\nAnswer: 2, 3, 13, 83, 267433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -i**4\/2 - 7*i**3 + 7*i**2\/2 + 52*i + 42 = 0.\nAnswer: -14, -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 1:45 PM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 423371, 423573, 423775, 423977, 424179, 424381?\nAnswer: 424583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 - 11)*(-5 + 5 - 19*i) as t + o*i and give o.\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 6. Sort z, -4\/5, -4 in decreasing order.\nAnswer: -4\/5, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8756, -17339, -25922, -34505, -43088, -51671?\n\"Answer: -8583*c - 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 1838 and 1837 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}